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<title>Reproducible Research: Peer Assessment 1</title>

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xaXpygKB5dWVlFrb5mQOydwB7i0J6ubFjh7npdh1XXdKUdEAmoj3W5Db4m4QE1LVCapO1XgH2D%2FkB08JF83SNM9ZhZf5I9%2B7Rz8J%2FI3IIfrMb5LHcjByu%2BUvGUKxQ%2FkcaLYdZ40f8JWOkw%2BA4iEBtlYSmddP1HFw%2FdKtShd1YQrncW61ZeqsIAcmYleEIEKAhx1ry8ND6aFh%2F8V9VHtiPdBPGObFcRVTzQgcz40RO7WEpW0ba3k2z3i6zBvlL9xO4ka%2F1EVnLTSa%2Buo%2BmkNzrwWDyPcz4lWOAxAp2%2BTrKORXoPGvm6d5aKpzt50u4573rAOfhP1CUXfpbjl36l4XWpysmXBCr6PbGqqsTnSRvReJFj4Xl9rvYfHFko%2FqPrb9YYEpV1CsKxTiSrXhisap%2F%2BC%2B6uu%2F8CZVz1iWlY7fGdnKxd2eM7WS2lcof2ANfjrBHRsoomvoE%2BuiF%2FpXpsCFnJYVZIVk7UsM85PYeLXYofPYf9H42YsMdtUq%2FMTd79Ho4bf2S7Gq9PVRxDC6lKG1VpVBV9cvFXGr6oVycSFZ%2FauXWquCnKooTpFvcfy0YiWVX%2BI%2FD8UOPXvp%2BE5%2Bom3JHt0IXP6MxS5U%2FAqovYd3l62%2BltAxkkq6q7T7LR3xT%2Bcz8gICtekEZU28Hq3d9JkEXhcfclufMmmZusgqh%2B5ww%2B7k3Vwcd9XbHh1JbiELt3Fu67QYbvmRs%2FCg5by%2Fr3TnRlZXhu7ijl5o6qlZ%2BrQrpkGp3PTVTZFKpwyqWabnH%2Fce5T6T%2Ba%2BNhiV5b7vOiQWG1XNvGNzngqewJWX%2BO7%2BPupIVbDas6n8HPju1ZMXmrvkcJ%2FhQ1Ya89RaqlV9P%2Bu0DacBdfrcx5rlPXMqW5%2B%2FVv8cfLHuP4t%2F6ZgDdhPFR8DGRmRoMk6R6Yc9MgU65TdN%2BKH32y1gyJruJn9x3%2BQ4%2B1zUvkZZYoyqq52HfJR1T3OUca8Ss9VrVhgoR1nngEaUXl%2BEwnEj%2B5Lg7fIsNx%2FsEWwXdT%2BI%2FD8UOO75zqXdKad2WS2XFS9L3XHH%2FH3m9r4nePnO%2F7Ys%2Fk6qErLYy0lJ6agZeeN%2FwwccYGT1QoEPwJqvCIveWiGhaw0jqw4olppFhqa8b%2FC%2BdTSMfJ8SlX%2Fp%2B918A8%2Bor5fxP%2FNTuvM3TtoeHe%2FThlVC9NKslFVNwNc6blq86mEHcyuYlSiOqOvmLPKAkLhPzbxCP6j62%2B9f0qwwjHOiiWI80kKVVktH0mD79lpNHuEPZ9yx6Q3iKpAKUiIS%2BdKK4ZmEpg0z1gZ%2FjhD12TDPydq2A6DMfTF%2FCCSlRZO0fLXPJsLM9o5%2FJ%2BS1UU8jHffrIaAVo2H93qXRX3g%2FV5fZeaqtAxwpeeqH3Trtr4z%2Boo5qyzjqus%2FuvixZ5JszVn3T9bAuDz2jM54qngC1XyGupJhFtiO%2BapVZZeFqvBG9bLT64cJ8zEW2juBk3sMRUbTMA9ggQX%2FxuNExVKRpvwrklXWFA5ZaUTl2d%2FRNOseP4pZYB18QoGHvnMyyNx5aXCbSf9x47s%2BV9Vv%2FQ2nBFacueFU%2BfxH298aemcj%2BAollosRz0QwI9ygM56qmBNbdKZpA5nYorobKAtV1yzEXc4xMjWQ2Xzu%2BE7FzK0BZnfYN3ezIOaa7cYL%2BL91Kw6%2BwooX2cJdqES1Yl3fwkumIJzZeGJX6gvVmzcdfOOV0JL6h1jjlZuVAa78e1Xd1scYiWP5mRhHlc9%2F9PFYhwhrwqz%2BfBOLKP8AaClJVcxhKRb%2FbHAgM5D5bBD67tR1UFX8XUSS8JcpqS8QN340V4kWuHQHNRnlvBhKfbH7Vr8H6fkKWPUwq6eGeuYgy1ZNqcPGOz6%2BR9SZ1V7of6CvfPi4Z0Y6zuSjamFa6bv2XhUpNzRDI2ruGXdyLNC1U%2FVs9fxHH4912DsxkOnMds9tPgd%2FPNEpvw99qvKrPL3r8FZaC3Vl26BE558ratV5h5brrxqrSjZWe2oL%2FbGSS62BPrSGWgP31eFR1ZYP7%2F23Jv5tWjqelgG%2BMe9VoU1C5X6i5fIfCh7GYRjtwIM65C%2FhnJc6S%2F9XnldPHdKgJoWtn6q6WQa0qq4yZuwG%2BY%2FxN2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYseVnpcgqGjNm7EYTNd1MEGK0kaUITo7BMiNUZj1D6RBgIRmWfxAO%2FFpHr1Vl6qOHh2WCxTJWwxWpzzycMW1rU6TJ5QMexTRpz5cqLpp7Tvw4WJlhBGp%2BBo7p79qA4m5Bmngs%2F5fXJWZFOsN86VmYRFb3agsKnuuswqLabGc2wig6q2t%2BjKX3TfZN4tc1P6Y0CV1XT7c%2Buvjor4tXpcgXo5daH5QVaUf8fJhRy0f8ShZltOdLW1lj1bW5cG1qRVxmL77HjjgmvE9R%2FzPNIBmL4pz2%2FS4zGXS56nQyJ70tVuA43%2FnhhXCDWLVTsHLHWSNKIav78VHwuOp%2FIIMipCx1YtdARq2zGvoUS986vnXcXu35aXmpqlsfXTwuQ3eviwCdg68rVx9cjSm%2F72K8qp0Ka69yLaEXBOWD7i5NogZ0pBfagNRNqJFxxsqEFfWPwLL%2B09uwHqe3jaYjJJ1eWCSe0SKcjaeJvbvxVmCVVIo0mRsZbeHSfvd3JVC1cDG3mnyFKyZVeNRZBYmKOKvFKsJysjg6o%2BzmrAAX9OBrN1HQg9KAVKq66wPik8r6uPCT1iQBH4jbAtCO9c7Gmb8KgVM%2BfqdTH%2Fyu9bWEasxz4a06Nd5xLnewJl9aLgT0WD2Vqon8Ot6IYncG62CUwRrSIF%2FgCGtkgnsnosow2zrYZMcO3HPU%2FiPwqxhxq40cvmkhMjI00%2FaV%2FG5xiVySOYQtkapLVRdU5HNTVb3sG3VWD28VlUA7vFWus3rbPl76oT28l06y2%2FaVj6ru%2BnC8vD4Cb%2FWFUMG%2FT4XH2hcKkKBASfsT6vpA4Buj1ydHk5BqNakbb68qVa4%2BFe7kXqsqkWWbd4sS5D7Nq8qnh9fhq6ASUbCGlDUMzYSvyueGPCTnI541tkrS2bvxqGrS9jZl7inw218N%2Fe75%2B2RdsdMygrCWQjrAh6pe8igqsjo4SsrB0VkV1VPprIau8tLvS92Xk%2BgMXVU0X8ZyaqQIe9z14TWS14fjYceRL%2B1585dWnQL%2FP5PsR790%2F%2BRHvwQRrA%2FU9YliQHhQVZ%2FkNwJPM6d8qumNqgkP%2F0mw8lE1zh7dUfyzR3fECSoZKDuzd6IZZrcwKtdQ8FVVjzwQWaTGlIj%2F8bZ2hrK8%2FmKhznTC9jV7MiHrLH2pir3s0qaWj5Q6KQe3zmoyT2uZzqoVE5InEAzWijBJLnFcKMQlb2pRH8sWpuLEltWH42E86rbr1I2LlGV43EFndIv7J6NbZDvXuNsHHvmrqvpgcshjZLvsG56mlmoIoIpQuUZV3SSUF1VlSr1JNtlU%2FLPJJlp9qqruehS%2F3vUolXr3DHZmdah6zyC%2Fm3sGfdu%2F353R5d2ebHiTzlX1GloX7%2Bisiscu11nlsp9izM7nFX8lu4aOEJeoD253wLdAkNfHqb%2B4Uzne1nzFunMl2j7LFl%2F1byOn%2FJ452FykRVV%2B%2FwUv3dqB93QSKHKdW71RtRSqWnUDmQP7T287sJ%2FL6B3bIU1yVbtd284wVNPqYwVwRMWR1T8ALqz12mMbzupQde2xzeesGEaAsoCZ%2B7I7D5y8HqqKTF%2B5qaqrs4r5U97TYn24Ui%2BMSl%2FL5w4rGd%2FUaKUyJBf1YbWjaZALrVXVx6m%2FuFM5Pr%2BN0IR9NxOqNnLKB6m1enX53u354H7lm700rf1vxKgKMUqcrYAU0Qq1jF6xzJjjwH6jGB6jaR4AQ964gTXA%2FzUUPFDv2r6dcu8vxEe%2BHv9Z62vgq7WUlzWibUsKgIsTMuWnqp7OqjUswt%2FeP%2FExJx8CD9Nqw5NRlPrAcBdU67668PbGCiq8837RST9I1ded8qspOrT6urVcqfn5%2B%2Bj4So%2BqOjPn0bQXVUcVbylY8MQuzMOLvLHqKgJ%2Faotc974YP33f44mOxUd%2BQXtZI8ZXERIvM6rq6ay2vyHKvOOP%2BD3f70P2ZwTFdQkq1P71dV%2F18N6uK6tRZeuDNcJ3rzr4ys9V6Ybqy0upij9VnFeLGzFqXMfGUzUvHTyrAXo3UF7W8PeqPBMsU6QUvxVqiFVVOPzcEKrq6Kx2LIoyh1%2FG74dfFt%2F7adrru4qu7qseXp%2BqpdYHE1IDGTUeXnak9k5sPkfXuV36Z4X%2B9Xf2vHMO%2BW4LelR1Tz2KPy8Pk9Pb%2FXrGsmM%2B2v4Gzp8YYrYjN9a7Y2eS5mu%2F%2Ft6bVJ1VlwJqkPepKi1UPRVd3fro43V1fa%2BjPt2o2k7QrQ3Z%2BA4dnVsNXeKUBzolL1%2BbDK7rU%2Fd6XTZELtRtroeDrMTsRDdVxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjBeb6o%2By0Pt5KEzRo61BQha4rq6dBmzsnnUdfrlhLodptTKuFmDVJLn0sd0ZGdafebSRTli2lRY0tO8OVCkMzSS0VYAfPQuvfUp3VeDG%2BiNKTVLFK3ZU7aM6KnDijC0TqWfiqSo2CGxdvO7TnwP7e2RBZwpo1jB9Nss3n5Eu3rMmwTX%2BdtTuaqr4lULqUjgBkOUvuaJT4gG7ntEQYW3qvxWdWaOgsrn8SpSdDAxm6CnAhXk3WKLNXSzKqWKU%2BVVGCxCXi9rBegxCbcDgJy73WXiOQzpbYhBUUKy5Al9TxZ%2BpD6nolyZQaBC1QcgsKloK4S79Y%2F4gKvIWCpm7TwRa3Pr271z2L1ZTe0ajwxWVTFnZSl9cVo5JMl3qq8r3WNSU5VVFTIKKhAlyMV5HVq9nKS9X2J9xomXApF8O0Ckq3lHKYaKHfDZ7unU0wykYMos4oZh1fpFI18QcvyS8vpwJH7%2BQrGPOqi%2FX%2Bo7EOtngJHDEi6L%2F%2Bs6hlU%2FD6CzWFkAqt1jpU9fZmf77wPSuKNxTJURXJp6cCXIyXk7WyVEWioaCnc%2FzgvKzvcsbf3lmuczj6G5UcJoZr7ez5%2B7b%2FraojcFPVijWdBE3gs1SqYquqRNyKW05noTVR0lxzxxrtADVQQkBb8QA4yaiRVjGqFKqipK%2BsJvamNFdzeR5bmse%2BCp930lWAvfEyslaWqrbu7DcFwcI3lIBq78TU0NTQ3olkXn5ZZrftQ6mrX4LAaDthLszH6iaGTa4KaZ0gHqcWFMJVlqq6Gha6AapXcHpzA2A%2B9y%2FWIqTUJ0%2FySZ324drbsueLHBt5BYmKm4AEFqw6G89CemT1w%2FuTtfJUjRf0n3HCo%2B%2BdPdC5iq1iBzqFgrAi%2FL26%2BW2rL74B0S0vUNwd91fBRFHzx7TNkOL%2FNcnu%2Fh83n6q6Ghb6qhf6AW3lAmD0F0j9pR0lQZ3a81a10iHJSLzUm9e%2FpRIXtfdACCJRo7YAeuPFHN6LfOvfklTWB7%2F%2BLe%2BzKk9V%2FV66%2B9KmNvy6qa37EiHI7otDd4QCa9F8aKImBUhkNY5MRVngeRKRjifZxqM3n6olvSrTPEMnQK1sAIyEG5liIXcATLtXVxooBCX40ttDEN%2FmjzQUr4MXg4Hm%2B6O5M1y7%2BhSTD4SzpPvQeOGt9Pq3vM8qjaq9s6e3UUa80qgahTzx6W2nt4UfjhK6g9DfgxxnP9%2BJzB7D%2B6ikuB8SXrEPKUSKfYZ731WOqtaYHXyNUQitm8%2FVPUMnQK18AIwZdXcATLvXglGwRa89kT%2F%2BeCvWeKUNIr7b%2Fpdn%2Fd3kUxHVC%2B9P1NKoauvk14gNLtTBZnFqW%2F3om1ngo8BHzaT9Q8Ps4eeEk20%2BB3vo%2FD0prRSwxlqvJdmdv6dQCbuMB%2FoqR9Xm3F3rB8CVyAAvlwC4OANMFwHUzQB3gbokPzh%2F%2FPFNuSlcxK%2BrEeSjELUYLyOqN1WHZmQ3Jza0EBtcEGgx7wp2AkmSGGaURUlymJjHPZB%2FvTH4d%2FbcXPJXS9YenlZaBcRIEBNL%2FJxn%2FlqJg82hnSQGbaTkeLeLydIgJQWcyw1%2F3Rlgan3UVHVUHIGB9lFKWq%2FoKkg%2BKlHdeGtMRlS%2FEMAf7955hpNV1RTFfwKhLYYpkcO0DmK%2BrmlBqNnzfHFgwb9GrQUbJ8GfH9QrCZjh5zReUbZ5C7R4i85IKZIe7iPEdF6tlT9AXV4ZYEHVUupTiqpxGahqZ55COsVyPGjMhsoZUhVuEYUC1cp61BaU31DOpsspEafyWxUrlW4L6tJN2VgB%2Fkghh6a0uX8w5o3nSQ%2F3gYmUcgacyw2v73NLz6HVpxRV41Iy8MtUCVj9ZwDGtNqzRf0TY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8ZujsFqucCyqMe0eRbGjEmI2nhR%2FHG6FDdmTYPuyzRFFsxGn7Euw%2FqXMzQ8LucGaZThkjub4WXQkmmasrIxYyU5%2Bbrm7ksJ6coR7obNoDIUgX%2FNSo1DlOxuxtV32QT8D%2FgMRcKk%2BWOQRvmKgrSGoRNgjuA1djarJcu%2FXfgzuKpUq%2Fx57MRgjX6dmqhhorKyW1sW20ofqz5LDw%2F327dsPDLvLTS%2FWYrnS%2BJoZ1GwrvZM08R4nFand95Qtux%2B0ckDH00N9c6mvpCPkbgwbCAzmsaF1mHFiklUiBnIgGh3SqwTbbyorOjBqK2ZFHhJTaTVuaW4fJ2rVTd4y4ZTvbN%2BMp0C35UdP4prB1cxaw%2Bl%2FL0TQzNd2eM7Wa2VblPeAZe60pFBF%2B0fZbpYyll6%2BDgsJ4J4iTwNEms3SxV4kZ2D3sJd1vkks6V4viSOdhYF67RnmFQjd%2FuTO2%2FwH8n98sJACwjIeqFfVtDa923hbnyiHUjWte%2FLaB3l2FpnLV5UQW6rry2HDCmD4JavQB40nVsq1Dl4S%2BPFxovn1sGysmoFPsUaISwHAaxWdMs6Zfmw1A%2BXwnESbjglb2gUssrpU4QoMuhcUYfLXulhaWfp4fEa7bhGl7gzgLN2s1RVRBlWuGySUcjqhaesV6Vj3e0ZJZJV4OWqZY5xqTSf0p3Cui%2FtvlW%2BEA2lJIZf5p9RFSHC5LQ%2BvLX4EcnVdNd86SDXLMibAkc8FnTfQ%2FelwVvUeFRYbWZ87AO3PKnET9qhr01U2QJ8KHc6zNzjX1jaFQik0%2F5qN3ewtLN08bzlEyC7CkFY382mqnDZJIkaXnhaq1Kx7vakkdXB62qseJTuFObWYPAzFD0R4l6xD%2FEcf2xssSvLl2W7H1HiG9k4HGc4VguHkSv%2BOU3L7wHrL6OqwAeejwCWb%2BgxNHNunWIUmwyhHut0WNncjRfbc4r9yfzXdkXAbCtAXIySZbgcLOUst2PRruI8pyiGwmn1SFZZqnKXpVHDC08VN6Nh3e1JqZE%2BUSVk1SNqVdWGs3w7DEiv2FtiyMLB7rnOrMcjysrG4aEZHKvzAixX6XM3TlQZMQR%2B3dTpbRAmx7uyeycgXK2W45%2B%2BtwuSYu1CS0oSvm845SW3IQ%2BYhYAklapRl5uoz2o6qYcvplJYKSRTeaoW3rN%2FDOSNp%2BsQUrCFRFVnX0T7g%2Bi7psZKz1zR%2FeoStapq306uqNaWU1U7frc%2FtvdPibxomHNz%2FRdk4fXGo32TDjbOKFQNPBbN1V%2BeNMnv3BJiNfj11BbWIKNeTguq9vhOjCU4UWVqRrw3dG%2FnpO5NedvTqepgKWedW6eHL6bS0MzH99x8qrrvwT8G8sbTqUrB5uV13Eenuv3jTO%2FlnZWOF94vfz2jQ1TcoGhkymlmSLrU%2BGPHnoH55tniRzT2jCy87vjz4fWOsmCSRNWew3sneP2jykdfcC81%2BOKJQG0gK9ckalbUSKi8ijPVYQ8ihZAqxakcLOUsoftIv0rSta8PyLiFVF5ReaqibyZJw4kXnkpVGlZ3Vx%2Bn%2FcNM52VNuPh%2BA4%2Fx1zN0oqK9kxCPHLK7QanjNvTO2sFyzN13yaTKNpyNstW%2F7b8g0PKdXDBIwEwlTKoaWDXqkmOoocbnk0CgSEjDgwRai7p8Tlbcyys3V02rwx57%2FK2mqB4XY2ln6eKF4Cq8zuqkyLhVmqrcN2nDiReeGqvQsXqKiPpk9SAqzAw%2FFa9ndOTHWPWR7Tju9cydT6mwWM0I7rA67%2FRdMvzJjV3ZcF6wuCsr8sc%2BwfgTuEGU6NtW2ptF7Xvi5uELkwK0REIuyCaoHi%2FF0s7Sw%2BM1Np%2BDqUHjcnhZI9yVFvd54Sn0o2NLURR0yKrzsqbgfq0AzvC2%2F63q9YzHxSEg7Jk7tkN9HsqD7p0YyHRme%2BY2n4MkTqf8HFZzagv%2BuQF3dXCYWil6xYH9fPotlHcP7Gcrbh7eTVZqxi8fZCtVj72wlLMEyn7Nr8Tb6sUdsmmNl%2FM6X2l4mqMLd7XqaHGfg3I%2Bqemngy3NeKvrvKwput%2Fdt9p50MZSBD0hIOyW08gdBsOsOgX4DopKL2zMFMpJa4fUDsNWQLlu5d0VNxfvNDc14%2Bc4q1r12AtL0UrmKP6cVXiaevGNMXedKV7qoFyf1KOeBvZ6yKrzsqaoY4IGqKkyZszYjeh2qiuHNmbMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmLEym65O7%2FcNb59Dlp1cnvWvuA8FoEYxnda02A2oVVr3SlbMmlyuNM3p9MYZTaf3%2B4YXZ3EZMXp7JrOdWZ36VAp%2FoyzwEUhYfkStC3XBXMGdZ%2FT3fXj%2BPr0rWbHAAuhkTt7Mrobvb5ETbA24WrRYK0al01sani9qw%2F8rU34yL2pW7vK5OPNKG7tyXq3b7%2Bges9SJXQMZSn1Kxe%2BdoOkq2488o%2B0yGtSwJqNK3aPrpWoUBU%2B19k1A4tGvBCMw4BPgpU%2FfW4n6U4nK97ewh4ZY00JeBg11evllhR6QXKfXwbudXYXvnf1kE67f%2FGQTLrClly%2BEoNR4WEUKomYndtHrT7tftKaTHYtIiiR76CUQO5VrGOd0jzfegd9tvIPFkXzy%2BgidZHthoQbeirVeo9QfhcebFqLajkWnhjUcyoum0UJyXVe3%2Bqw9qF%2B5mtHDU0G8E7uGZij4MAggIB6F2W8eVdc1xxdxfwssH%2BsfX1zXbP8CdXqdy6p1eh28%2B5Dju7K49g7Xb%2BKaPRxZaeX3zn58D6eICg8SMCusPVaM1fK19pTyhQCoSpfYqguz3S%2ByBpvejQ%2B91HpN1tBc9xh6QxTlTMP%2FscNbVfUROhd8awUqXjgitpBcV9maXA0uqO9YVGpYgTULzlNrvUYZi3VcHZQx54MgrZ6XcSeO9m2%2FEsSjL%2FEHUb%2BdlFXYlaMqq0HJvUROWteuP1%2BoGlsUI4wNy400%2Fjq9Dl4canzCFRY1nUwQykf5rYEMEnx8AKmtwsO4wkJXezZbdVFGqb%2B4A7UuMYq0JHFGyA7tObTHAodJSGcpXPeY1Q7N4J41sOofPkPDfyPHw3X2WAHcWqHpJBGfIyo8yAYZHgPfkKtzUsl2uTFUagQ%2BSri6bRgRPiqnq%2BPGI4miKK7pCsnpW0amaMRz16n1NfUc1SpqUcq8liaahugm1%2F0mUOqI47vniptMrtNbGt5RlOGqMSr81BCrhyCvmjukGp%2B0FY9YfdNJlc6wwFsFUYQ%2F3nEQqFG9Wg1I6B7z%2B%2BT33ZmV1Qfx1p5WtopFc0KSBLxD1Fo5vulKVEu2ywurogaX23R1gZ2KGXChq8u3uuoLL6lP7%2ByxHbQsLmuhEFVkiXODT0hNZx0RND0tKe8r2L%2Fo%2FZNoMsF%2FuU6vg3f3L3J8V9ZRbj23DkdJVfkBO5OYJ6oSjweEaiys1Bl28O5m8cez%2Fs8G7Zlwv2WPrKj6JBP14LrHVgxHVBxZ8XNCWh%2FET4cxcOdqOgT8mJuocvyxHY4ibqlUVVNDZ5ycGnILx3Zlp4akQezbmLEYmcKYRugSQyvVliOLW0qWuPJUZf0ndjkt1DMHCUTubajTu9R1%2FXV6Hbz7kOMTtpg%2Fzt0wu5UglG%2FL%2F%2FcJotLq4w5o1XgR8Kt1iVn10AwmkxC37qcdi7tflDU01z1mtdDAMDeH%2F2vXnFXVB%2FAwh7ddEEQ61PjmguSHHM9qsWR30C8XHiue2lCooUdVVvPkU47nPPmUXDKoHXWmu2F0tGMa1V4IelncUrLEhW1D1CvU0je0Arz%2BvCOL4wYsfPqBOr3FaRaZTq%2BDd%2Fe6KnwUXnPg3G3lfJRYPu6WktCqj1793TGBXJcYI4HB0825lAkmmKSPJad7LDLAuFWIqj6ID92OLghjMAGPNYF62COqCm%2FrZ4X2TuCj108rqalRyuyTrRCS7yCCrhCVA6IG8xHFLM7My5fFLSVLXPm00u5bU19g%2FXmKqyub%2BmL3rblfOYrrNJ3e0vAio1Wp8iuH586OYXCSfbJJrbjo6B5b800sQqqPLt5OdBHxnODHd6oFSJcE2wRqlOa8rIUH%2FKxFiQy675z6EoWeTNLNEt%2BADDBEWCipa4%2Fatae2uJQLhU5vF1Wn93uGF2dxdXoKUuged2vVp1J4JxDWdRpa4Fua8x7Z3jMnn6V63Xl5srjXkyWuPFWFjmhOW7mm6K71dHq%2Ff3gx4yBjl2P9q%2FVdRgvdr9VCqCJdAWFbSha3mKz6RNW9W2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzVgaDZXN7TCsYM1ZICw1dWVC6QQmPPvtzn72m%2F6DGlfrg%2FDNqWUZc2dpzuOL3PW0xqhwm1PqMVtkZlcJBHsm8P2tcK13GNnkOD%2B%2FvvpO%2BHbsxisPqZ3TdT0lXFzf2Ye9sfDEIq%2BytySDoqfXOxj4kXWUMnTfI2tidv1evSQi8FGU%2F3qbRAUwjleD%2FPh18x%2F%2B98wrtj9KtsQi0Dl3a0gpwsU01Ta0CVY1kSfqyoDYx7f3UoPtlHse8f1m9R%2FDw%2Fu67aO1PoG6H1DPn1a1SOl4QFddrXydZdXVxI%2Bzh53D1IwoQ4kq%2Fh5%2BLqB0y1nilmfHrbD7X%2F09qqq4F2cz1D9hjWZ2y6aaDrJ0hldqhK%2FBzWi%2F87eze1wtEkX3P4TKeoAZBHINZDW2ZlK4AiHASrmMPI8Y8J3i7z1NLeJafYOWmKldbLGV8kY824rdC%2F0gp47aka2qVyNlwmbtEvlUoMnF6eIeoOenV0skqdHFhmS8s6hEKDBIdWlu%2Frwkwzz797NOop9acFxXzf4yBhXhOKWbvxIP7w0Bx1aiHzdH%2BRlXVnb%2BXdxwYKLcXuGE7y4scE%2FAPPtJ8VIYXY3wC1HcHMqDG9xK1ZWlUXSrmIV9clVcFBBkPR3sKjw2n6F2BrF7Q2wWdBd2F38laNczU7bh0fJGPNs5vWUjIzsjr339h6b0Ov6zb%2Fv5PQL897auEuMQLbXleYWvkvxO6uPFF%2FC6%2BqNLFdfSL7nrgrgccXSPZpbmgaFd2%2FCjr7jrULJUd4zYeyfVBk%2BvfiUrnwo3vRmGcFuLeXAsI4oJ3qfhX1%2FSmZXg%2BdqE85%2Bs%2FfP2HttQmaV8WvnGGeusMz%2FCUyV0LZbJSX8Q3CKkRfCYgYxoqj2sV1oA0ZtTxyCxKIKtVl%2FjcGV%2FEaJP4XDEWQaSE7u7oGvmVv%2Fm1pfe6dVy3%2FS2JTFzPnF7n6n4S1FC5aHLDySp0cWEwr4NmVOriOg%2FfTVX5xTsWcdQ%2BtWV0i3W5TdnPWcPWQRE%2BhhiOgOGr%2FikuFCz5oDvJpu9DAtpiHXfbakUHKfjUV7DivsUfzw2FxkbTq0D%2BczSNomUUojZe5LVROW9JfTTIeDz7k9Uu1UI%2FopZC1cLfq%2BsjiJokkRXlSHjsBi54OSyVzGEhrlIIVOhwZxRkNbr%2FiaX3%2BnhCt%2F1lio6P%2FAKyLkw3A0ClKu%2BeChVBc2R1dHQDjwUeU%2BviVlVh4IsHUlV8lo9JCXgYR7YH34MkVK78w%2Bv98a2frJvCG%2BudFSNfnPlJRvdNwoz2X1j1QGb1b%2FfZwlGwSUTN%2Bn9Jsr5JP3z3JY6%2F96Uk23Icf%2BqPFwmlnrkZe5yfifTMRdTbTsS43Bt33pXzsnEYHXHpP9UD7eniRJ3YvX2tfQdvlS9g06OqQ1SxaQmdrPE8Uf1Se1x5WcfpxweK7xRGwZryURVKa2j7yvuc7a9eP1VzOtlFh%2F18HV3c1vxWA%2FIAFSlafEjdanNX9uHnAguRfOlIJ3981O5vkYL78j1kfIPfvGoggyPi%2BVTn%2Fw7aJZ9P4cgJVwj64SGgTiMex3fMMVtpf7xIKL3wU1a9%2Bdzmc6z6hZ%2FaWz3UyYiKgakY4zefs%2BeVMf8HyLO%2Bhf9UXUEgR9Tmj5vssv0zwJWlqkNUGNe7%2BWxSvd2VQ1Y5Uf0cXFYj3Jug8E4H3tOPavzLhzG1L%2B5zjmwAolKVz8kLJV5zMZOujm5V1WrGD6So%2BCy9eH3%2FhWaXtH9X9nxKdUvYGHf%2Bnq1wlO390OdTvbNtLPA8nII3Fg881gaP3%2F8KiIcEyLuv%2FxCdhdVbB8NSPCaUgKJw%2FQf3P7gf7wbJJ9vvLLDQmQWJ745czTsO7O%2FMBhbKNapiSCTkM8cjuBFRkzQDXOy44hn4X4HvpwcZ1z7IL6d5d%2BNPug2nckQNOakf7wSXF1lVRF3q4JgJzonD%2BqSiQHPK5ehd2cG%2FKydVYUx92%2FsMaIOacsxVsRXd3%2BcnN7o6urpzVXxrGylI%2BoBAp%2FThiPFo306%2BcR2eI3%2Fom8%2B1wTiM73mty63gWLLHz8WxI%2Fa2E3f92Qq0MSGV7Z2JxhdSJzfi52bIdePXkxu7sjCK%2Bb6%2F3XAWpCFXiLrDllcrTm3ZcLZco6qgmi2HaW9EJM8Ao%2BPyZ%2FrZoMuFJZ0l77zDkPhtyu1WgF2UzLGcmXLhdyqyylrefb%2F5eZsrE0y7Ck6%2B5G%2FndalqBdp9znh0h%2FSVk6KDKWxTn%2B90dXH1qNp4sfvS6W2gTgd5S8xVqgWgT25EYoNoZn3ra7w%2BzjYa3g%2BddcBmVO8l%2FpD4w8B7h%2FYUpiA88ZCuuAeS%2BtsObWoDvKRGzR9jwm1VvhvDr6vsCKH5Y9%2FyO7B3FYrtOJ6CQGRHuUZVQbX8Jo%2BpgiDJ5xrq0cs9bvBx1TVdaVC8iAj5fad6Duo6uWvivLaR3S28xMqTuwnOmmwqJ1Wbj3rjYXirV4W11A5G1mRaurh6VO2%2BBE5Sk3Mrkogjq%2Fn4HiB3A87AemdpOrewTUIHhMBx%2BL%2BedI36TdAN%2FGwjkKhe1idHmd%2BjjCpe2nTbe42c2NU9p3JF%2FbnqUpO6bp0OUfkkYWRKbMQwMiWfrlTail6KhNTdATzTfmenP9ZP82YqVdde88Y%2F%2FJw6rL1OooqelK4rm2%2B2W%2BBQvlXSc5J851GTu1InXedW8xotTClIDZ1Lv%2BSQng1tWcvVbrVcsb80fVmp61bTRL0LzmjJzfhS8Km66jtnogXVLan7JxCFM2HXoeZNqAxErWijfQcftDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxoz9%2F2u4KsiaNO1gTOYkgWLZCarynNZV6uyy6zRcFwRkdJzX1iee%2F64%2BhRBIyIR81S6W3CtZKy%2BHR53neZrO8zLFT0NXdhn%2BH9PyuTN2Gx0sqydraWHlz8rYyAyt9KVXs7%2BJjBQLTzbfr0X0PUh2BQokTLBsuXhJvoED6LqNFxsvhph9BYoOXl3o2vjRBNN4jJlcMxzU6Azmya41r%2BcgsAakBv9R0VQdJkfnOUHUeV6O%2BLav%2Bv9p5JV9T9zzWzXescZ3caU0LHMMSkrX1kkubXlF1F7rEyWIzRaWJ1YI8UJ%2BvWSB16%2BJzg594yoW%2Fmr3rSqHCX6ZyHUDwY9U5a5rhvWhGVxmhkvQrMwqtq5ZXZvA853ZX3YnSRLZ1suo5rrhFOt%2F9umRqTbSWAaaCJdv%2F%2Bcnn2omdQbN7Mmnbv9nGAX66FQFXZ1v7QXyhNqM%2FsY5lA6rqfNcKr53VkjTlr98EMwJxT6M%2FjryNUUQRvgnSgQNv4nLHP3JnWDutsQDqSHr8kGmr5jYw%2BquIMkKxNnnZX7Ax187qszwETXn17HPiqka%2B4zguOmVi21fJv5P97%2FGGatWadrF3es8FX0iq%2BmdjbrwsGhXOdZYsTb20EsYH1DGow1HhS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2Fy8vL6%2Bvqfn5%2Ft7e339%2Ff29vbo6Ojz8%2FP6%2Bvr19fX19fWmpqbLy8v6%2Bvr4%2BPjT09Pr6%2Bv6%2Bvrr6%2Buqqqrz8%2FPt7e2ioqLPz8%2Fa2trW1taioqLr6%2Bvi4uL5%2BflVVVXNzc3%2F%2F%2F%2FW1tbj4%2BPh4eHq6ur8%2FPz%2F%2F%2F%2F29vb7%2B%2Fvz8%2FP09PTMzMz%2F%2F%2F%2F%2F%2F%2F%2F5%2Bfn19fX%2F%2F%2F%2Fy8vL9%2Ff0AAADZ2dn8%2FPz7%2B%2Fv8%2FPzp6em%2Fv7%2F7%2B%2Fvq6urp6en%2B%2Fv7%2F%2F%2F%2F4ck%2FmAAAA8nRSTlMAGgDUzwIP8SMQ759fCgUvqfDGFeIYA78fbxNTt98%2FhsV%2FBhdD4Q1rRI%2Bvwo3ATxJTD18IoKWasozTETbQ4D40IX5hC6dAMR7RXydvEsRuotKLkZCATYahkzOxQlFqmbZwJiUhFWy1wyJYcXI7gB2XIEFbgjxgiWFtfTSFMy8wSYgEqFBDTSE2KCpnSyZZUaZHRFAsDuWBYJJ7AVZQpC0Z6njBKWjdN4dlMV30iN8bV7%2BzJJeHMRiDYsR6U9yVYxdP2c1dj8CKFZZVFjtaaTxOI9cMKQk4NnBW4PKUOmiNI%2FkwWoQYUdQOSk6GvkUURFSM3n71h14AAB4tSURBVHhe7J2HfyPHmaa%2FYicCDTQCQRAkQWgABpMcDSkOw3CGM5o8Gk2QRjlZOVjBsizbcs5pndb22r7d23ybc7zbdDnnnHPO%2Bd6%2F4FjdIGu6vmp280CtbF%2B%2Fkkn%2Fnip%2BaPSDDqA%2BFOm7J3ncIoDi0NAQkY3d2IaJSws2NNZZnCouduhAsrgf7o4BYy59O4fvn3ROJQKoREkBGKqYytAJCCEQWh220I81TPFIozLaNiCMH4PJr47WIooL1C1isUUsFSwpkMqPAMARDUIFjLcYpj5tGbmqw%2BP6bhz49jZwbZ9S9k8Kd20QQLDdzFbdIz%2FJJ0OFyJFaI6mOcZ6HGOzAGxdi0tN8JL063CmJwi9FviX34m4FUrlxl0PgaBgIbrXJJfVp08yTrbq2tt99bINtCj9p%2F2TiZMMigCzYGa0WxwBgrEjxCBUici56obyLjsF%2B%2Fez8KGLwUdxVJuq9HZcpljX16lgjlaeg8hTpmUVNqubcUjzNKnBbGIBbJS6pT8nMo5ilAms3kxsAbElvsP0DqP2Ttt9KsEYIoBELpWxWDyHMocSDdUiCYMYDvJmAl5sUE%2BcDgiaiLMd6FrTJUmskFaTyEah8JPZsiru8WGL8ouLpx2rfqshkVQix%2Bz%2FOoyRIte64GalXsb5%2FJFX7J4UfxsVI3EUcMyrVrbqAtbVVB1x96q39f4Yo0goYpBJ6EmhWa31nx3WrUmskFaTyJah8iVSofNrqY2umHOeNsyIQ457ksUTnlP0dq4NfVyuLrpTKLlHy0sUp1UASq%2F2Txr2ASAiiwJvNYrVzBLjUbJ4BjlS0qbdE%2F%2FStUgAExAMyWG2jI2EFDd3qujNsWcPOesxquY6d1OOSmiMbId4YCTT%2BBEq0xDjRKACM8mO1HwF2mYm%2BDnRdrRRht5hUmRPHAeD4CdL3jwBEBQ3OheC84VE%2FXi2L1Q9fB14kOgFc%2F%2BzeVgmgJKuVTnzsPSh2iFoncY82uVrw14aH1%2FxCNVbszO4heYa0vDPk30uc%2F%2BOxv2LgBAAGdjSM8R548OvqoxHiUl0bYWyX7R8h1P5J22%2BHUIlAxXSl5FYDeZS67hHgTO%2F%2F2aoPbWy12r9JqFVifFsqsLYGbGtlJyq%2BV2TuBRrA3WTgs%2FAY70S30519XFebg19X3520%2BbakctBO2j%2BZ%2BNt23qsdwduyWCWnjjB1h%2FZvdWkqhPxKVhi3gMamh2Ilhn304xeIaTVJpVlsTp9FLRt3F9DPgvtmX1czbf4FSeXghcT9k4WXLYxtg8oYrLJRKZNTC7XWa7R%2Fq1RDCDfq7RltpDwixPTcjIdii1R87MYnptUktdKYn6Pz89ZSJj6l6k8NcA%2Bc9bqavvmF6jbdHqwW0vYP5%2Fq9dLGo7qVTrY5OXKnXr0yM7m3V%2BFzIAs4S0crEckCmBDOedY1UCmI3%2BtN0LjUucan0yDOycjD8PZk4VJDCB3%2B%2FqmmtSqlc68g2dUYKlLJ%2FUrgzMl73Gu3xESfFqorzwO0OsXiI4kmrCe%2FSRoQ4T3slOK2ea0qa001Tgci0E2TiQkVk5tHooO9XnYJDWcP3TzovT4xOL5dJixDqXz29gHhGRZTRIRogzT2l5mk6b8F%2BG5KhtyB5%2Fj%2B2mie3mie3mlvNk1vNk1vNk1vNk1vNrZbouy65VR8%2BsST3UJbGpopjJYZdoNsFXGOptDrpfAn9LGWvU5xaLJFvmr9Ycu3kzstYuiHrUuaUFsfGFg%2FyQOFa%2BHaCIAeHMNTnPgA%2FwSrnrg3UPPD%2B1R8AHnwQ%2BIEUq7xONv4w%2Brk7ex2vBhRhng9ks%2BoyGAXU6XYrROTzXnTg4PrRW3EAIQQI8tueVn3I%2BGarnNuoz4%2BOztdZ%2F%2Bpl4KWXgMspVnmdbHwWIgxm91XHA7JxiJ1A64jHvJg0WS0CmBqzWf3NLSG2NmGTnopCOm8l8RZKpNsDSbG0l1UfUXyjVcZLqE8EoGCirj1cC%2F20Eq3yOgjrML6wwHgLFoWxUGHzicx1iB4CQJy7Iee7S4biAw4QUM9k1XhodzE%2B1yRqzo2zk3YXkPZaZODoEJl48avVU5pVQQjFJltVUgHfZJX9N%2FDDuJ3Cerdr%2FasvA5icBPByolVeB6yO5B2go%2FOXdzpJLuAVVseuGOv0%2F2M%2Bce6EnO0uIRO3elPbciars9UyhSlXZ%2FkJvoVSCS3OaeNRCTi%2F59j7UGFc0J7XVSWVad2hpv5VEO9fPQXgwx8GcMr4CRybTHWg6ijungJOuRo%2Fhp%2BgMD%2BBw4Y6Xb3OrOSG1BTPdKxCJZNVfJn6%2BbKhTnMcGG9yTv%2B5Zrb6CQT4LLtQEAkBIRKtFgR2IgpZrDa8aEzvX60AQBAAQIVi6bdzEa9jA7aso3FnGph2NA58ncJ8HTBsz5%2FQ69QkD1OM9TmNju7yYsqxmtFqI46fo36eg8HSzwM%2Fb7L3fR6RkYPwfTdzQVBtOklWuT1ulfevCiH0%2FtV7sZt7zd1ovM5F4KKqozgBpHMA6BB1AIDNb0yuGOvIVPAk8YT1BztW3fq5rXMb9fZjcexEEwEHpjPw%2BLjxDPwH2xHgvIIPMy5EBqtCiBSr6f2rswAaQjQAzCbsFVYn2NwMVB3FCWD1AeC9RO8FADb%2FmZ6az7fzcf15%2BWr7BzhWnYnV5irr1gPtWCX9swSbQHOrXN5qck61ByTgfPY9DzUC%2Fs6GICfsbVXCFKtp%2FatL%2FY9pHQKAJUOZyUnwOnNzYR3GhWAcKmDzHbU9GfpsvfcpPsh11ZhNZXVTG5qbt6hJ8l%2FOT%2FeITPyjX6l9kG8mqe0cwGp6%2F%2BrdAHCd6Lr%2BewKopNbh3Gx1kDoET%2FHBrqvGzCmrc6QlGFFA480k3jxdZpsJEoCgeE8lhfdQQ2JocjKj1fT%2B1RoAvJ%2Fo%2FQBQS7fK63CeZjW9TsOrM14dHW%2Br%2Ban6vF3qZbJKyurBpGnQQpicNDY0E4aAXnQC73%2BNh3XZsv5V1ow6RzQnv4%2FyMjJZ6nDO64jMdaZHJxgvUHnZND%2Bh%2FuguHdXmU0KEUF8PPpES0esZG5pJDAkxdDPOk%2FdC5Mmt5smt5smt5smt5lbz5Fbz5Fbz5Fbz5FZzq%2BYGw13usyHXNjcHKKrHZwuvpKWLinmDsECGlAwdND5R2vIg39VWq0atfV5Y14fs2ryIktVqjbUepmUW9zI2CUyes9AlnvJZtEfiaAEL%2B7OabBqJQ619rSnT4jwKiCHaRaD08MdFvVDnWhVXWpm9jFYrEf5AwoYQz1INNQZ7QG91GJfJkH%2BGBzSyghWyJoUAhJi0SIXRAaw292W1eSBWE4uI3YAIGAOYVsWl1sGsvhLhY3FahN6SqXLs0xZKxud5QurmeQee0xGIRnrRD%2FVGFE6iJKIQj0gdYsjI1RCzKhErnWrVj3Hy0Y3OwCDaqx2Ya92%2FVeBYhK8DbLplAbcC7MT2vh%2FEMZPVyhraZAjgMGRe9S2RQiWJg519D%2BoMnPi4e1n1oReZJXLHKtJqNUFrNaZ1EKuzIswstzp%2B6dK44Vm%2B3Ah%2BCmiZ9%2FsDxFNBnX6%2FrTYVHuwMvJBmdcFs1YdmtYp7yLVRdEFUSNBaiGsdwKqKxq0vAF%2BwuNVTn%2B68buH7uQqxdRYnXWL5XXxtYKtChfHEgcHPwKEeSixPJO3BZHVdt1oQc64NwEZM3zqpxPn6%2Bpth9fiLwIvHmdUOwswaVDTPb%2BB%2BYnkYP3dwx2rmu6XWQZyBhdgogHj5XYTChhCm%2BoWqZtXttn4EYW7Wpy%2Beqbi%2FXshk1dqy9mMVH9ja%2BgCY1YcsIcQW0DGp%2BGkcJpYbeGlfVktAaXCrzYM5A6%2FQ3lZpJWE7C9UYr0wBP4kwSh%2BTKrmSmsWqNdwctrhV0Q%2B3ipMnway6eF7usjYe4lZbpRpeIBbge%2FZlVZnI0nyXOjD4PTCHu8hk26tvh6gQ5ypKH5MacSWVW63G9VnDTriYLnNRhEyLdWSaWzLX8AU5%2Fkn98zpXwW6X1Mj%2F0NkCFhKOym0emVgYbKXag74HNtchGGyPTmyH2VbZ1adLVbykpGpW41xKJalV34qd30KwjkxjS2YX4WLXFfY%2BFmEakz3SYpt%2BH7lSXWFHJVud%2BvfXanNAqzxpj1vQpSpeLmQ7VUmpUivrTw9EmDJlyty25SD6oVHD404zqTQiMaOF3R%2FS%2BIboZ6Mw4PrDB3UGFpRchxTkSX3cwePQd0ZW2P8ZNHkvRJ7cap7cap7cam41T241T241T241T241t%2Bq2aOAs0rdVcquuXawYFrpdTF6%2Fl6eDJUqOu0SDxvdpH8mtus8eR9HUnQ3ftK4vANslPSdxisOlKcjZ8uc6jI9Ryzy%2FWKEuq%2BUn9KOHW5VA%2BVASn%2BrQAcR2wy%2FJvAWwoYjyuD4vFDnwTdi33ZhV1z55ybJYx0B9sw2UDOvrRqK0dAHcZ16C2xp2T1ywntO4d3aCcJXPH696M4EPm0s1aQWkISRQPpTEgcUWGQKAkLknBtIRlFbGm6yUokyeHDJyGLT6QKRVTcPJS8P6Wq%2F1ibnlNg4b1tcFwHR3jOunn8KmEGLkhG3fMeJofPR8yQcWXX1%2BuTAa%2BMAFTWpBAKLAtALSEBIoH0riAIrdwa1KEVA2OAfMQyZ5csjM14llHX2tahqOX2PLSr0%2F6kkwrK9r6ts%2BFcKaq1eZix7h%2BAnG%2B4uZr%2Bl8oUK%2B3p3hLiJURVhkjyANgQzUOJTEIWN3BrUqRSgbBs5KKcrlySHOE1tXIq1qGl8V1MPh0KJlWF%2FX0AVYQjuk9xuvb7CGTzB%2BP6w6UL1D4wsoLrLttrEbW7cRjpGR8iFXcaMl3x3UKmxlw8BZKUWZPF6IS%2BVauVSVNjDWHQMu8PWBI6u1%2BEFc%2FaTBNQE7Um3Gf3RrZMIbLzgaf6cHKTV%2Bgr%2BgrF4w2iAj5UNrGmeWpga2GmXNzHkpjbKXsc22v5HUutIAsDbEpao8gCg%2FxtcHJsn19XV%2F7kGE4VafkvVtMF5oEp0ul3QezHhSKvTXYfSpJ%2FY6BSylSKd86A7FjZaqzwxsNXqEOxI4K2WmI2InI3z7fTLGDx93KHxLY5ZKvQ3IbDYN6wMDgLa%2Brnf5i16C1Y%2BMb9cHGJdp%2BpwHMxsFAkjTGg3qUgkYlo7MlA85ihssWZMFZ1Cr1rA6TgycWzVTFcP2%2B4lSh50hoqfkWxopleddFoD6nGl9YAD6%2BrptrB2SuE6xNNClubLjdtFgfDtmHqworrRG72x0qQSEokzUOJTEw7daI71B75akTyXVwFkpTrlVrjVZ6hDRZZy8ZJZKzkUPjTNkWh%2FYsJL%2BxzzIeLfH8Z3YyZ0D8eS2ZSAUlUD5UBIH2qfPD%2F7ORvpUUg2clTJTocK33%2FzOpi91iFqwfvCaQ%2BYEM43H1FjKerzN01UPqJ4O4nj1XAMyjXOrA%2FHktmUgFJVE%2BZBELueNyeVmQk8mZW7dJ2nI5VIljwaZP0Z5uFZzU34kdYiubY2cdygpwbRylLoeb7MwKkSB7ZjVaSEzvToYT25bFkK1IXPKh0LkcD7dowNIVNkx8ugLO%2FY4TddqbsqPpA6R06TvvORxEnDeCzFo8l6IPLnVPLnVPLnV3Gqe3Gqe3Gqe3Gqe3Gpu1dzf%2B5Zx1ShxcPUHT2uqktR9uN%2F4ST9UWThIq65taI95S7gaAsyddTWPzc%2FCB85JnHT3ZdVuUULel2C1UsTCYK8at0XAUMsNrdqm9pi9uQd4%2B5kPq569Prk%2BgOISkaEPeXS%2BDns%2FfJzXJ2oplMnGAoC1fVlV28%2FkGVX529x750BW5YcvgEox7EYrAYAQrL835ICJW09Xq09b5vkNGPi5kYl5jbPHVVmrjQMfqpWI9SE%2FQvTIRB0lnQdEgZlXarw%2BLRVBaTZ4o3opu9XOVQALCVK9%2BaqxkjcTDGT12RqKQBG1Z4eIDgMAEevvlVyGc2%2FYKRScYc8033pmHIxbq1crgZWxPrm4qwyc%2F1CN9D7kCnwfldtxTOPRRxc4j3biuOLqyKOEmGy0apCptTJa7RYRxnTc3yvlFYxWpdRBrDZnPIQvjuYQUQ0QgkgIredTchnOo5PRGufWZH3Y%2BVmPceDUZ12Ac1ld5zt%2FBF1G60MOqkA1CLxZjdPVlo01zkOpM%2BU4b9kpa5oxGyf7%2FGQ2qz5UCyrLyoaSp1V6KKVtKfvirkNEDWCH1khlL74u8Trnl3oTTqXIOXBnbw0mTgSdQ6bXg4zeh7wePrZX0%2FjVsF%2BS8UhqoPEppFhlNkaEAKA3cJJtvi3oYCfWY4a73BUu1Q%2Bri8JBWj0UjbP%2BXsllOPfCRtc7PJ3L%2B8RKMXsd8%2BOKKzgngMmqJ4TWh1xBtSq%2FHtL4j1uyC4vxUiRV449ZKVa5DfNBecmDjHcpjh9FYyM81VSHg5S7XHZXPJBVMe9J2JgXQ0Rvi8ZZf2%2FIARO3Xd93bc5hd4rmOkIYuSASOienWisBf7J2F%2Bl9yMF8oTAfHNHrHHGGq8MOMY5Qqs6D4SqApHUDlY1Uq803IPNGM46xOb3S60F9JIHd5Wa7K%2B5vjcj8B%2Bdbxei9SbE1FPb3yrD%2B3r14ESgmzR%2BUE93xaQC1u8q8D1neA4%2FxOmO%2FUHAqBo67AmKcnMK4B0qIspFqlVY3AGysanRzTgJrppx2l8vvige7W7pmeTPAjGddG%2Br394L19751nJzCFeDpsrEPucjmZ%2BdK%2BIxFhjAbKVZpxYK1osO56MGDlLtcdlc8sFVn%2BHQABKdl735Cf%2B9bwtUQwOBB1g%2BGiYfZSLVKFxuXyBwn5S6X3RUPbpWcJgkx1JS9%2Bwn9vW8lZ82xB1%2BfiU4ZEOYNCqablDXqLlfXGuz1M3kvRJ7vZKt5cqu51Ty51Ty51Ty51Ty51Ty51dxqntyqe5W%2BrZP3A3dhd4g6NrpkSqc7BibV%2FgjtM4twDXRsjIyxYXMI9dUcn7Lk1VdfVd%2FexFSAA18nOXs%2F8GGrhoUF1KzDxOyVbAAvMKv34RNkSGdxbGyxY%2Bb%2F%2Bs84xFKCefnoFoCUngEebT3LoppfjM265ZZb1Lc3Ma94IgbcItsUxlPWSWZWk%2Fty8fyMBXgzzzN5lSkAaH%2BNDdTwx2jM1aC7iDCLrpE%2F0XLZ86kBNZd4mvuwiv5f%2FAwt2sb5yGrV9d3kA8b3GfUN9Yus0YdvTzrn6ySbrZYAWEJYAEqs6tGjkDG8iBrjj8Mj1oh1N71g8xZ6dTLg%2FHvvk1w75Ot13JexOUCoMNvFViQVFzJYnZubU9%2F44svmAyb6ptNCFWHM%2FVvvT9p%2BkdFqtE4y36DIqi%2BtHo6a%2FGp6X64AgNtuAwBBsawB3tnpf6e%2F6Ih%2BE8DCC9p1%2BAjaaABAFUdM%2FE%2F9Zcm1C8%2FHPw5UiMUF4GY8VoWY96zXZfuIQLWQwSoA9S198WX3BqRAH8AN7TBadAv8L36%2Fhp28lO1YbTDbKuaO1cgq%2FKFIJ1yXrwGrrLLzrHX661PsRbfUbQKsTBfWu%2FHRNoAfs9Dl%2FI87KxZ7HWwCm8o1270Zr6vB6T8ddRkqqZmtmhdf5qsJTmktOoVJQCw7hl3%2F09jJV7JZ%2FWAJKsUUq%2FrfgG4AwFNP8fV%2Bj27nttvkV%2F1Qsi4egcwXY%2FzyjxKssFqLVB7Edae%2B9gBQb17Hgzfz49v8d%2FAXiUKuUkLjV4FfbaBkasYDipUYhdj9h7T8QhHe2%2F820TrtzyqX2kjSyhYX7QHmXf%2Bz6KfRzGS1UT4FlXtSra6ryevJ%2Fbp0224ols96zxchU9c3bwrX7wSA10llro7umXcA9TNd1Odi3Jf8E%2BTHOLk1fMZpt53PoObqUtsA2kpryrFakVJPFivqHjijVSa1Ol2VWolpZVKJkqwGHqI8SZmsfrADFXzRZJWvnyyDaoH166afgXuHEMY7wzfvhVUA6N2Mz1i4f0KIiadgndH4kY9b6HU1fh%2FaPXr8ceq1tcWwi965ZQDL57xilmM1%2BszJb9b023sPO9Hu9uqA36n4QDum7gLkbipUgQvEtTKpBCTcqI6KMN4ns1ktPwqVapNb5Vqj62q1wPqB0626dv%2Fm52mHLeiOBypyRHvqbUwtLEyhPezEeRXAn22hGuMdeB%2BLtvpjHjqx%2BqdXZfXK6ul20rHK%2B2%2FDjxTFhIwKwLoiZEbJ2Nb%2BOFvnVH3TtUYbzy35ScveVvCJbFZbUMGXs7yzKURWC0OsHzjdqn18a1rMzwvWDP2xBsZ7D7GVyclZnnzyHe94cnLZ0Xhh8vfwR1%2FU1s4%2BiSj880rLTYrelzeXsxyr0lpAFIyyNd1hXuS6XEeYepmvc6q%2B6c%2BBVYLSKqVyTc9ls3ofVKxeyjrJrBeC9c2mWD0%2B3CQKAmJpPrNVJlisDlFveWJiuUfE%2BGv4B804ryCWCsXSmBfzjf3%2Fbiku1Y2k8pzZ8ABv4wwNFBGlwF4HTYFtDuFks1qDyvNp6yRzq6pvlm%2Fe6ip7uzTs7NFlTGKkTNmzIgKNBCIWbXg6oGA6bclrngJbG9gYZ2VUiNEVh96sCCmdwYQnMCpUmJtC4YB7IRz67kneC5Ent5ont5ont5ont5pbzZNbzZNbzZNbzZNbXZhaiIPcagtRii5ljQsYJy%2B4rnn3dlGkNzH4KFomHIbz0liR9T8fKF%2BcmlqUnMcdA7qUKXt0xNqAbZgeWu3%2FwFfRz4%2BQKa2rLUOTAYoV0%2FK0tg1qceFu7SzMi58i4Ul2i6a9VUzYIWiimdnqm7%2Fu8amv3XPna5LzHEFjck6C9P7kvZrRhICBhVZFNPYw%2BnmYWNzSGH7lGjR6yrhW47OwJbfxLOm53%2FspZhX4w8AFcXTDcJh1pn7jDRAL3viNqY7RK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<div id="header">
<h1 class="title">Reproducible Research: Peer Assessment 1</h1>
</div>

<div id="TOC">
<ul>
<li><a href="#loading-and-preprocessing-the-data">Loading and preprocessing the data</a></li>
<li><a href="#what-is-mean-total-number-of-steps-taken-per-day">What is mean total number of steps taken per day?</a></li>
<li><a href="#what-is-the-average-daily-activity-pattern">What is the average daily activity pattern?</a></li>
<li><a href="#imputing-missing-values">Imputing missing values</a></li>
<li><a href="#are-there-differences-in-activity-patterns-between-weekdays-and-weekends">Are there differences in activity patterns between weekdays and weekends?</a></li>
<li><a href="#session-info">Session Info</a></li>
</ul>
</div>

<div id="loading-and-preprocessing-the-data" class="section level2">
<h2>Loading and preprocessing the data</h2>
<p><em>Show any code that is needed to:</em></p>
<ol style="list-style-type: decimal">
<li><em>Load the data (i.e. <code>read.csv()</code>).</em></li>
<li><em>Process/transform the data (if necessary) into a format suitable for your analysis.</em></li>
</ol>
<pre class="r"><code>library(xts)
library(lubridate)
library(dplyr)
library(tidyr)
library(ggplot2)
library(scales)
# library(devtools)
# install_github(&quot;jrnold/ggthemes&quot;)
library(ggthemes)
library(pander)

options(scipen = 1, digits = 2)</code></pre>
<p>The data is provided as a CSV file <code>activity.csv</code>. First, it is loaded as a <code>tbl_df</code> object, suitable for further processing with <code>dplyr</code>. Next, dates and intervals are transformed into a POSIX compliant form:</p>
<ol style="list-style-type: lower-alpha">
<li><code>hour</code> is a POSIX time variable, coupled with a dummy date (1900-01-01),</li>
<li><code>time</code> is a POSIX date-time variable, indicating 5-minute intervals (eg. 2012-10-01 00:05).</li>
</ol>
<pre class="r"><code>activity &lt;- &quot;data/activity.csv&quot; %&gt;%
    read.csv(stringsAsFactors = FALSE) %&gt;%
    tbl_df %&gt;%
    mutate(
        hour.string = sprintf(&quot;%04d&quot;, interval),
        hour = ymd_hm(paste(&quot;1900-01-01&quot;, hour.string)),
        time = ymd_hm(paste(date, hour.string))
    )</code></pre>
<p>Radom 10 rows are presented below.</p>
<pre class="r"><code>activity %&gt;% sample_n(10) %&gt;% arrange(time) %&gt;% pander(split.table = Inf)</code></pre>
<table>
<colgroup>
<col width="9%"></col>
<col width="13%"></col>
<col width="13%"></col>
<col width="16%"></col>
<col width="23%"></col>
<col width="23%"></col>
</colgroup>
<thead>
<tr class="header">
<th align="center">steps</th>
<th align="center">date</th>
<th align="center">interval</th>
<th align="center">hour.string</th>
<th align="center">hour</th>
<th align="center">time</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="center">NA</td>
<td align="center">2012-10-01</td>
<td align="center">430</td>
<td align="center">0430</td>
<td align="center">1900-01-01 04:30:00</td>
<td align="center">2012-10-01 04:30:00</td>
</tr>
<tr class="even">
<td align="center">126</td>
<td align="center">2012-10-03</td>
<td align="center">750</td>
<td align="center">0750</td>
<td align="center">1900-01-01 07:50:00</td>
<td align="center">2012-10-03 07:50:00</td>
</tr>
<tr class="odd">
<td align="center">100</td>
<td align="center">2012-10-03</td>
<td align="center">1350</td>
<td align="center">1350</td>
<td align="center">1900-01-01 13:50:00</td>
<td align="center">2012-10-03 13:50:00</td>
</tr>
<tr class="even">
<td align="center">NA</td>
<td align="center">2012-10-08</td>
<td align="center">2125</td>
<td align="center">2125</td>
<td align="center">1900-01-01 21:25:00</td>
<td align="center">2012-10-08 21:25:00</td>
</tr>
<tr class="odd">
<td align="center">0</td>
<td align="center">2012-10-16</td>
<td align="center">1115</td>
<td align="center">1115</td>
<td align="center">1900-01-01 11:15:00</td>
<td align="center">2012-10-16 11:15:00</td>
</tr>
<tr class="even">
<td align="center">0</td>
<td align="center">2012-10-23</td>
<td align="center">2050</td>
<td align="center">2050</td>
<td align="center">1900-01-01 20:50:00</td>
<td align="center">2012-10-23 20:50:00</td>
</tr>
<tr class="odd">
<td align="center">0</td>
<td align="center">2012-10-24</td>
<td align="center">215</td>
<td align="center">0215</td>
<td align="center">1900-01-01 02:15:00</td>
<td align="center">2012-10-24 02:15:00</td>
</tr>
<tr class="even">
<td align="center">0</td>
<td align="center">2012-10-27</td>
<td align="center">430</td>
<td align="center">0430</td>
<td align="center">1900-01-01 04:30:00</td>
<td align="center">2012-10-27 04:30:00</td>
</tr>
<tr class="odd">
<td align="center">591</td>
<td align="center">2012-10-29</td>
<td align="center">2050</td>
<td align="center">2050</td>
<td align="center">1900-01-01 20:50:00</td>
<td align="center">2012-10-29 20:50:00</td>
</tr>
<tr class="even">
<td align="center">0</td>
<td align="center">2012-11-17</td>
<td align="center">925</td>
<td align="center">0925</td>
<td align="center">1900-01-01 09:25:00</td>
<td align="center">2012-11-17 09:25:00</td>
</tr>
</tbody>
</table>
</div>
<div id="what-is-mean-total-number-of-steps-taken-per-day" class="section level2">
<h2>What is mean total number of steps taken per day?</h2>
<p><em>For this part of the assignment, you can ignore the missing values in the dataset.</em></p>
<ol style="list-style-type: decimal">
<li><em>Make a histogram of the total number of steps taken each day.</em></li>
<li><em>Calculate and report the mean and median total number of steps taken per day.</em></li>
</ol>
<p>In this step, data is aggregated in daily intervals.</p>
<pre class="r"><code>activity.daily &lt;- activity %&gt;%
    group_by(date) %&gt;%
    summarise(steps = sum(steps))

activity.daily %&gt;% sample_n(10) %&gt;% arrange(date) %&gt;% pander(split.table = Inf)</code></pre>
<table>
<colgroup>
<col width="15%"></col>
<col width="9%"></col>
</colgroup>
<thead>
<tr class="header">
<th align="center">date</th>
<th align="center">steps</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="center">2012-10-16</td>
<td align="center">15084</td>
</tr>
<tr class="even">
<td align="center">2012-10-17</td>
<td align="center">13452</td>
</tr>
<tr class="odd">
<td align="center">2012-10-30</td>
<td align="center">9819</td>
</tr>
<tr class="even">
<td align="center">2012-11-01</td>
<td align="center">NA</td>
</tr>
<tr class="odd">
<td align="center">2012-11-04</td>
<td align="center">NA</td>
</tr>
<tr class="even">
<td align="center">2012-11-05</td>
<td align="center">10439</td>
</tr>
<tr class="odd">
<td align="center">2012-11-20</td>
<td align="center">4472</td>
</tr>
<tr class="even">
<td align="center">2012-11-24</td>
<td align="center">14478</td>
</tr>
<tr class="odd">
<td align="center">2012-11-25</td>
<td align="center">11834</td>
</tr>
<tr class="even">
<td align="center">2012-11-27</td>
<td align="center">13646</td>
</tr>
</tbody>
</table>
<p>Histogram of daily aggregated number of steps.</p>
<pre class="r"><code>activity.daily %&gt;%
    ggplot +
    geom_histogram(aes(steps), binwidth = 500) +
    theme_pander() +
    scale_colour_pander()</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>Summary of <code>steps</code> variable.</p>
<pre class="r"><code>activity.stats &lt;- activity.daily$steps %&gt;%
    summary(digits = 5) %&gt;%
    data_frame(stat = names(.), steps = .)

activity.stats %&gt;% pander</code></pre>
<table>
<colgroup>
<col width="11%"></col>
<col width="11%"></col>
</colgroup>
<thead>
<tr class="header">
<th align="center">stat</th>
<th align="center">steps</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="center">Min.</td>
<td align="center">41</td>
</tr>
<tr class="even">
<td align="center">1st Qu.</td>
<td align="center">8841</td>
</tr>
<tr class="odd">
<td align="center">Median</td>
<td align="center">10765</td>
</tr>
<tr class="even">
<td align="center">Mean</td>
<td align="center">10766</td>
</tr>
<tr class="odd">
<td align="center">3rd Qu.</td>
<td align="center">13294</td>
</tr>
<tr class="even">
<td align="center">Max.</td>
<td align="center">21194</td>
</tr>
<tr class="odd">
<td align="center">NA’s</td>
<td align="center">8</td>
</tr>
</tbody>
</table>
<pre class="r"><code># activity.daily$steps %&gt;% mean(na.rm = TRUE)
# activity.daily$steps %&gt;% median(na.rm = TRUE)</code></pre>
<ol style="list-style-type: decimal">
<li>The <strong>mean</strong> is 10766.19.</li>
<li>The <strong>median</strong> is 10765.</li>
</ol>
</div>
<div id="what-is-the-average-daily-activity-pattern" class="section level2">
<h2>What is the average daily activity pattern?</h2>
<ol style="list-style-type: decimal">
<li><em>Make a time series plot (i.e. <code>type = &quot;l&quot;</code>) of the 5-minute interval (x-axis) and the average number of steps taken, averaged across all days (y-axis).</em></li>
<li><em>Which 5-minute interval, on average across all the days in the dataset, contains the maximum number of steps?</em></li>
</ol>
<p>In this step, data is averaged across all days.</p>
<pre class="r"><code>activity.hourly &lt;- activity %&gt;%
    group_by(interval, hour) %&gt;%
    summarise(steps = mean(steps, na.rm = TRUE)) %&gt;%
    ungroup

activity.hourly %&gt;% sample_n(10) %&gt;% arrange(hour) %&gt;% pander(split.table = Inf)</code></pre>
<table>
<colgroup>
<col width="15%"></col>
<col width="27%"></col>
<col width="9%"></col>
</colgroup>
<thead>
<tr class="header">
<th align="center">interval</th>
<th align="center">hour</th>
<th align="center">steps</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="center">535</td>
<td align="center">1900-01-01 05:35:00</td>
<td align="center">6.057</td>
</tr>
<tr class="even">
<td align="center">705</td>
<td align="center">1900-01-01 07:05:00</td>
<td align="center">44.38</td>
</tr>
<tr class="odd">
<td align="center">930</td>
<td align="center">1900-01-01 09:30:00</td>
<td align="center">66.21</td>
</tr>
<tr class="even">
<td align="center">940</td>
<td align="center">1900-01-01 09:40:00</td>
<td align="center">24.79</td>
</tr>
<tr class="odd">
<td align="center">945</td>
<td align="center">1900-01-01 09:45:00</td>
<td align="center">38.75</td>
</tr>
<tr class="even">
<td align="center">1035</td>
<td align="center">1900-01-01 10:35:00</td>
<td align="center">37.42</td>
</tr>
<tr class="odd">
<td align="center">1235</td>
<td align="center">1900-01-01 12:35:00</td>
<td align="center">32.42</td>
</tr>
<tr class="even">
<td align="center">1510</td>
<td align="center">1900-01-01 15:10:00</td>
<td align="center">35.49</td>
</tr>
<tr class="odd">
<td align="center">1915</td>
<td align="center">1900-01-01 19:15:00</td>
<td align="center">53.36</td>
</tr>
<tr class="even">
<td align="center">2155</td>
<td align="center">1900-01-01 21:55:00</td>
<td align="center">2.623</td>
</tr>
</tbody>
</table>
<p>Time series plot.</p>
<pre class="r"><code>activity.hourly %&gt;%
    ggplot +
    geom_line(aes(hour, steps)) +
    scale_x_datetime(labels = date_format(&quot;%H:%M&quot;)) +
    theme_pander() +
    scale_colour_pander()</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<pre class="r"><code>activity.hourly %&gt;%
    filter(steps == max(steps))</code></pre>
<pre><code>## Source: local data frame [1 x 3]
## 
##   interval                hour steps
## 1      835 1900-01-01 08:35:00   206</code></pre>
<p>The maximum number of steps (206.17) happens at the interval of 08:35.</p>
</div>
<div id="imputing-missing-values" class="section level2">
<h2>Imputing missing values</h2>
<p><em>Note that there are a number of days/intervals where there are missing values (coded as <code>NA</code>). The presence of missing days may introduce bias into some calculations or summaries of the data.</em></p>
<ol style="list-style-type: decimal">
<li><em>Calculate and report the total number of missing values in the dataset (i.e. the total number of rows with <code>NA</code>s).</em></li>
<li><em>Devise a strategy for filling in all of the missing values in the dataset. The strategy does not need to be sophisticated. For example, you could use the mean/median for that day, or the mean for that 5-minute interval, etc.</em></li>
<li><em>Create a new dataset that is equal to the original dataset but with the missing data filled in.</em></li>
<li><em>Make a histogram of the total number of steps taken each day and Calculate and report the mean and median total number of steps taken per day. Do these values differ from the estimates from the first part of the assignment? What is the impact of imputing missing data on the estimates of the total daily number of steps?</em></li>
</ol>
<p>Count of complete cases (<em>i.e.</em> with no <code>NA</code>s) in the data set.</p>
<pre class="r"><code>activity %&gt;% complete.cases %&gt;% table</code></pre>
<pre><code>## activity %&gt;% complete.cases
## FALSE  TRUE 
##  2304 15264</code></pre>
<p>The total number of rows with missing values is 2304.</p>
<p>We are going to impute missing values for any interval by substituting it with the average value for that interval, averaged across all days.</p>
<pre class="r"><code>activity &lt;- activity %&gt;%
    left_join(activity.hourly %&gt;% select(interval, steps.imputed = steps), by = &quot;interval&quot;) %&gt;%
    mutate(steps.imputed = ifelse(is.na(steps), round(steps.imputed), steps))</code></pre>
<p>Again, data is aggregated in daily intervals.</p>
<pre class="r"><code>activity.daily &lt;- activity %&gt;%
    group_by(date) %&gt;%
    summarise(steps = sum(steps), steps.imputed = sum(steps.imputed))

activity.daily %&gt;% sample_n(10) %&gt;% arrange(date) %&gt;% pander(split.table = Inf)</code></pre>
<table>
<colgroup>
<col width="15%"></col>
<col width="11%"></col>
<col width="20%"></col>
</colgroup>
<thead>
<tr class="header">
<th align="center">date</th>
<th align="center">steps</th>
<th align="center">steps.imputed</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="center">2012-10-03</td>
<td align="center">11352</td>
<td align="center">11352</td>
</tr>
<tr class="even">
<td align="center">2012-10-04</td>
<td align="center">12116</td>
<td align="center">12116</td>
</tr>
<tr class="odd">
<td align="center">2012-10-07</td>
<td align="center">11015</td>
<td align="center">11015</td>
</tr>
<tr class="even">
<td align="center">2012-10-28</td>
<td align="center">11458</td>
<td align="center">11458</td>
</tr>
<tr class="odd">
<td align="center">2012-11-06</td>
<td align="center">8334</td>
<td align="center">8334</td>
</tr>
<tr class="even">
<td align="center">2012-11-12</td>
<td align="center">10765</td>
<td align="center">10765</td>
</tr>
<tr class="odd">
<td align="center">2012-11-14</td>
<td align="center">NA</td>
<td align="center">10762</td>
</tr>
<tr class="even">
<td align="center">2012-11-22</td>
<td align="center">20427</td>
<td align="center">20427</td>
</tr>
<tr class="odd">
<td align="center">2012-11-24</td>
<td align="center">14478</td>
<td align="center">14478</td>
</tr>
<tr class="even">
<td align="center">2012-11-29</td>
<td align="center">7047</td>
<td align="center">7047</td>
</tr>
</tbody>
</table>
<p>Histogram of daily aggregated number of steps.</p>
<pre class="r"><code>activity.daily %&gt;%
    ggplot +
    geom_histogram(aes(steps.imputed), binwidth = 500) +
    theme_pander() +
    scale_colour_pander()</code></pre>
<p><img src="data:image/png;base64,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" /></p>
<p>Summary of <code>steps.imputed</code> variable, compared to <code>steps</code>.</p>
<pre class="r"><code>activity.stats &lt;- activity.stats %&gt;%
    left_join(
        activity.daily$steps.imputed %&gt;%
            summary(digits = 5) %&gt;%
            data_frame(stat = names(.), steps.imputed = .),
        by = &quot;stat&quot;
    )

activity.stats %&gt;% pander</code></pre>
<table>
<colgroup>
<col width="11%"></col>
<col width="11%"></col>
<col width="20%"></col>
</colgroup>
<thead>
<tr class="header">
<th align="center">stat</th>
<th align="center">steps</th>
<th align="center">steps.imputed</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="center">Min.</td>
<td align="center">41</td>
<td align="center">41</td>
</tr>
<tr class="even">
<td align="center">1st Qu.</td>
<td align="center">8841</td>
<td align="center">9819</td>
</tr>
<tr class="odd">
<td align="center">Median</td>
<td align="center">10765</td>
<td align="center">10762</td>
</tr>
<tr class="even">
<td align="center">Mean</td>
<td align="center">10766</td>
<td align="center">10766</td>
</tr>
<tr class="odd">
<td align="center">3rd Qu.</td>
<td align="center">13294</td>
<td align="center">12811</td>
</tr>
<tr class="even">
<td align="center">Max.</td>
<td align="center">21194</td>
<td align="center">21194</td>
</tr>
<tr class="odd">
<td align="center">NA’s</td>
<td align="center">8</td>
<td align="center">NA</td>
</tr>
</tbody>
</table>
<pre class="r"><code># activity.daily$steps.imputed %&gt;% mean(na.rm = TRUE)
# activity.daily$steps.imputed %&gt;% median(na.rm = TRUE)</code></pre>
<ol style="list-style-type: decimal">
<li>The <strong>mean</strong> is 10765.64, which is almost the same as the mean of the original data (10766.19).</li>
<li>The <strong>median</strong> is 10762, which is slightly less than the median of the original data (10765).</li>
</ol>
</div>
<div id="are-there-differences-in-activity-patterns-between-weekdays-and-weekends" class="section level2">
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<p><em>For this part the <code>weekdays()</code> function may be of some help here. Use the dataset with the filled-in missing values for this part.</em></p>
<ol style="list-style-type: decimal">
<li><em>Create a new factor variable in the dataset with two levels – “weekday” and “weekend” indicating whether a given date is a weekday or weekend day.</em></li>
<li><em>Make a panel plot containing a time series plot (i.e. <code>type = &quot;l&quot;</code>) of the 5-minute interval (x-axis) and the average number of steps taken, averaged across all weekday days or weekend days (y-axis).</em></li>
</ol>
<p>Adding a factor variable <code>day.type</code>.</p>
<pre class="r"><code>activity &lt;- activity %&gt;%
    mutate(
        day.type = factor(
            wday(time) %in% c(1, 7),
            labels = c(&quot;weekday&quot;, &quot;weekend&quot;)
        )
    )</code></pre>
<p>In this step, data is averaged across all days, but in two groups: weekdays and weekends.</p>
<pre class="r"><code>activity.hourly.weekend &lt;- activity %&gt;%
    group_by(day.type, hour) %&gt;%
    summarise(steps.imputed = mean(steps.imputed, na.rm = TRUE)) %&gt;%
    ungroup

activity.hourly.weekend %&gt;% sample_n(10) %&gt;% arrange(day.type, hour) %&gt;% pander(split.table = Inf)</code></pre>
<table>
<colgroup>
<col width="15%"></col>
<col width="27%"></col>
<col width="20%"></col>
</colgroup>
<thead>
<tr class="header">
<th align="center">day.type</th>
<th align="center">hour</th>
<th align="center">steps.imputed</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="center">weekday</td>
<td align="center">1900-01-01 12:35:00</td>
<td align="center">30.69</td>
</tr>
<tr class="even">
<td align="center">weekday</td>
<td align="center">1900-01-01 14:30:00</td>
<td align="center">31.51</td>
</tr>
<tr class="odd">
<td align="center">weekday</td>
<td align="center">1900-01-01 18:40:00</td>
<td align="center">91.67</td>
</tr>
<tr class="even">
<td align="center">weekday</td>
<td align="center">1900-01-01 20:50:00</td>
<td align="center">25.93</td>
</tr>
<tr class="odd">
<td align="center">weekend</td>
<td align="center">1900-01-01 03:10:00</td>
<td align="center">0</td>
</tr>
<tr class="even">
<td align="center">weekend</td>
<td align="center">1900-01-01 07:45:00</td>
<td align="center">30.69</td>
</tr>
<tr class="odd">
<td align="center">weekend</td>
<td align="center">1900-01-01 09:10:00</td>
<td align="center">151.8</td>
</tr>
<tr class="even">
<td align="center">weekend</td>
<td align="center">1900-01-01 21:35:00</td>
<td align="center">15.69</td>
</tr>
<tr class="odd">
<td align="center">weekend</td>
<td align="center">1900-01-01 21:40:00</td>
<td align="center">13.06</td>
</tr>
<tr class="even">
<td align="center">weekend</td>
<td align="center">1900-01-01 22:40:00</td>
<td align="center">1.062</td>
</tr>
</tbody>
</table>
<p>Time series plot.</p>
<pre class="r"><code>activity.hourly.weekend %&gt;%
    ggplot +
    geom_line(aes(hour, steps.imputed)) +
    facet_grid(day.type ~ .) +
    scale_x_datetime(labels = date_format(&quot;%H:%M&quot;)) +
    theme_pander() +
    scale_colour_pander()</code></pre>
<p><img 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" /></p>
</div>
<div id="session-info" class="section level2">
<h2>Session Info</h2>
<pre class="r"><code>sessionInfo()</code></pre>
<pre><code>## R version 3.1.2 Patched (2014-11-14 r66984)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## 
## locale:
## [1] LC_COLLATE=Polish_Poland.1250  LC_CTYPE=Polish_Poland.1250   
## [3] LC_MONETARY=Polish_Poland.1250 LC_NUMERIC=C                  
## [5] LC_TIME=Polish_Poland.1250    
## 
## attached base packages:
## [1] stats     graphics  grDevices utils     datasets  methods   base     
## 
## other attached packages:
## [1] pander_0.5.2     ggthemes_1.9.0   scales_0.2.4     ggplot2_1.0.0   
## [5] tidyr_0.1.0.9000 dplyr_0.3.0.9000 lubridate_1.3.3  xts_0.9-7       
## [9] zoo_1.7-11      
## 
## loaded via a namespace (and not attached):
##  [1] assertthat_0.1   colorspace_1.2-4 DBI_0.3.1        digest_0.6.4    
##  [5] evaluate_0.5.5   formatR_1.0      grid_3.1.2       gtable_0.1.2    
##  [9] htmltools_0.2.6  knitr_1.8        labeling_0.3     lattice_0.20-29 
## [13] lazyeval_0.1.9   magrittr_1.1.0   MASS_7.3-35      memoise_0.2.1   
## [17] munsell_0.4.2    parallel_3.1.2   plyr_1.8.1       proto_0.3-10    
## [21] Rcpp_0.11.3      reshape2_1.4     rmarkdown_0.3.12 stringr_0.6.2   
## [25] tools_3.1.2      yaml_2.1.13</code></pre>
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