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<title>Reproducible Research: Peer Assessment 1</title>
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<h1>Reproducible Research: Peer Assessment 1</h1>
<h2>Loading and preprocessing the data</h2>
<pre><code class="r">data<-read.csv(unz("activity.zip", "activity.csv"))
library(lubridate)
data<-transform(data, date=ymd(date))
</code></pre>
<h2>What is mean total number of steps taken per day?</h2>
<pre><code class="r">library(plyr)
dataPerDay<-ddply(data, .(date), summarize, stepsSum = sum(steps, na.rm=TRUE))
hist(dataPerDay$stepsSum)
</code></pre>
<p><img 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alt="plot of chunk unnamed-chunk-2"/> </p>
<pre><code class="r">mean(dataPerDay$stepsSum)
</code></pre>
<pre><code>## [1] 9354
</code></pre>
<pre><code class="r">median(dataPerDay$stepsSum)
</code></pre>
<pre><code>## [1] 10395
</code></pre>
<h2>What is the average daily activity pattern?</h2>
<p>###Plot</p>
<pre><code class="r">dataPerInterval<-ddply(data, .(interval), summarize, stepsMean = mean(steps, na.rm=TRUE))
plot(x=dataPerInterval$interval, y=dataPerInterval$stepsMean, type = "l")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-3"/> </p>
<p>###Interval with maximum steps</p>
<pre><code class="r">dataPerInterval[which(dataPerInterval$stepsMean == max(dataPerInterval$stepsMean)),1]
</code></pre>
<pre><code>## [1] 835
</code></pre>
<h2>Imputing missing values</h2>
<p>How many NAs are there?</p>
<pre><code class="r">sum(is.na(data$steps))
</code></pre>
<pre><code>## [1] 2304
</code></pre>
<p>We will use the mean of the interval to impute the missing value.</p>
<pre><code class="r">imputedData<-merge(data, dataPerInterval, by="interval")
ind <- which(is.na(imputedData$steps), arr.ind=TRUE)
#substitute NAs with means for the respective interval
imputedData[ind,"steps"]<-imputedData[ind,"stepsMean"]
#remove stepsMean
imputedData<-imputedData[,-c(4)]
imputedDataPerDay<-ddply(imputedData, .(date), summarize, stepsSum = sum(steps, na.rm=TRUE))
#prepare data for visual comparison
imputedDataPerDayComparison<-imputedDataPerDay
imputedDataPerDayComparison$kind<-"imputed"
dataPerDayComparison<-dataPerDay
dataPerDayComparison$kind <-'original'
comparison<-rbind(imputedDataPerDayComparison, dataPerDayComparison)
library(ggplot2)
ggplot(comparison, aes(x=stepsSum, fill = kind)) +
geom_histogram(alpha = 0.2, binwidth = diff(range(comparison$stepsSum))/10)
</code></pre>
<p><img 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tvffPPNCy64wI7Dsrver0cf0eP/XTMyMsaOHdvjbVnOCtejt0S/uoY416PnWIousdejD9TVnu0TlJyc7Dgvv9eHPfroo+PGjevPL2Wf3Rl9MBg8fvx4ZmYmV7wBgIEi1hdGjh8/Pn/+fLfb/e1vfzs5OXn+/PmnPQUDgMHmwQcf7M+n8yr20N99990pKSkNDQ1tbW0NDQ1ut/uee+6xdWUAAEucxfXov/zyy6FDhyqlRowYsWLFisLCQjsXBgBW0ike51n+V7B2CHmNOtZtjBw5cvv27VdffXXkw88//zw7O9u2VQGAxaqd7rP9sSit9XdtWs25FWvof/e73910002lpaWjRo2qra1966237P4JfwCwUDgcjuOnbmxazDkW62v0N954Y3V19SWXXNLR0XHJJZdUV1fPmzfP1pUBACwRa+h9Pt8HH3xw6aWXPvHEE5mZmWvXro384i8AoJ+LNfT33nvvc889l56erpQaPXr0K6+8ErlKAwCgn4s19K+//vprr7128cUXK6UmT568Zs2aN954w86FAUB/V15e/vTTT8dyZw9r1qxZvny5bevqKdb/jB06dOjx48e7fqTy6NGjmZmZtq0KAAaA074hSV/epcQmsYb+sccemz179q233pqfn19fX79q1aonn3zS1pUBQD/R0tKyaNGilpaWYDC4cuXKnTt3btiwYfPmzUuXLg0GgwsXLly0aFFnZ+eYMWPq6upuuummyLuUVFZW+v3+gwcPLlu2bPr06fPnz+/s7DQM47HHHjvH64/1pZv58+dv2bIlKytr37596enpGzduvP32221dGQD0EytXrrzooovee++9Bx98cNmyZUqpQ4cO7d69O/I7pCtWrCguLq6srDz//PO7f9WhQ4f++te/rlixYvXq1Q0NDffcc8+GDRsWLlz41ltvneP1n8XvfY0dO/bBBx+0bykA0D/t3bv3tttuU0pNnTo1coX2q666yuFwRD7773//++abb1ZKTZkyZcOGDV1fdeWVVxqGkZWVFQqFhgwZUllZ+cEHHxw5cuTcX1bAxqu9A4AM559//ubNm5VS//rXv0aPHq2USkpK6v7ZLVu2KKWqqqq6f1X3q/w+88wzU6ZMefLJJ2fOnGnr+xacFqEHgF4sWbKkpqamuLj4kUce+f3vf9/jsw888MA777wze/bsnTt3ut3u044wa9as8vLyefPm7d+/v7KysrGx0f5V/59Y33jEcrzxiCX61ZtF8MYjHEvRJfaNRz5tbonjEgiXpaX2+rCKioq0tLQrrrjilVde2bVr1+OPP35Ws5wDQq7NBgCJcuGFFy5atGjYsGE+n+/5559P9HJOg9ADQJ/k5+dv3Lgx0auIhtfoAUA4Qg8AwvHSDYBBYWJ6mkpPS/QqEoMzegAQjtADgHCEHgCEI/QAIBz/GQvLxPeLrFrr4aZx3KJfggVwKs7oAUA4Qg8AwhF6ABCO0AOAcIQeAIQj9AAgHKEHAOEIPQAIR+gBQDhCDwDCEXoAEI7QA4BwhB4AhBvsV6/c2d7h8/ksHHC822XhaADQd5zRA4BwhB4AhCP0ACAcoQcA4Qg9AAhH6AFAOEIPAMIRegAQjtADgHCEHgCEI/QAIByhBwDhCD0ACEfoAUA4Qg8AwhF6ABCO0AOAcIQeAIQj9AAgHKEHAOEIPQAIR+gBQDjTwrE2bdqUmZlZVFQUDocrKioaGxtN0ywtLfV4PBbOAgA4K9ac0YdCoRdffPHDDz+MfFhbW+v1esvKyoqKiqqqqiyZAgAQH2tCbxhGWVnZ1KlTIx/W1dXl5uYqpXJzcw8fPmzJFACA+Fjz0o3xvyIfer3erKwspVR6errX6+162JYtW5qamiK3CwoKCgsLow+rtQ6FQpas8LRM03S73U6n08IxMzwp3T/UWicnJ1s4fg+maTocjoyMDPumOIsteNviGD9y2KSmpsbxtbHrOpbsmCjDk2Kapsfjcbvdlg/e5RwcS1rr/nIswVJWvkbfxe12nzhxQinV3Nzc/XlNTU0Nh8OR2y6XKxAIRBnEMIxwOBwMBu1YYYTT6bR8ih6bMk0z+jb7SGttGEYcU+zwtsf4SIfDEeO3aEJc38lI6G19oiPHUiT0dkz0WUur2+33+/1WDX5Jymlq2G+PpdjZvQWciS2hz8/Pr66uVko1NDTk5eV13T9+/Piu262tra2trVEG0Vo7HA6/32/HCiNcLpfP5/P5fBaO2Rb6rz/qkSksHL8Hj8fjdDrb2s76VNrbEeuqnE5nZ2dnTGN2+9db7LTWKSkp8X1t7FNorSOJ8SbZctKdlJTU2dlp1XPd4yiK6LfHUuzs2EJaWpq1A4pky49XFhQUeDye8vLy3bt3T5kyxY4pAAAxsvKMfsaMGZEbhmHMmjXLwpEBAHHjF6YAQDhCDwDCEXoAEI7QA4BwhB4AhCP0ACAcoQcA4Qg9AAhH6AFAOEIPAMLZclEzoN+a0Nxk+Zifpw+zfEzAQpzRA4BwhB4AhCP0ACAcoQcA4Qg9AAhH6AFAOEIPAMIRegAQjtADgHCEHgCEI/QAIByhBwDhCD0ACEfoAUA4Qg8AwhF6ABCO0AOAcIQeAIQj9AAgHKEHAOEIPQAIR+gBQDhCDwDCEXoAEI7QA4BwhB4AhCP0ACAcoQcA4Qg9AAhH6AFAOEIPAMIRegAQjtADgHCEHgCEI/QAIByhBwDhCD0ACEfoAUA4Qg8AwhF6ABDOTPQC0LuaDt+ZPpVs6CR/oOXMDwAAzugBQDhCDwDCEXoAEI7QA4BwhB4AhCP0ACAcoQcA4Qg9AAhH6AFAOEIPAMIRegAQjtADgHCJvKiZy+WK8lnDMLTWWtv4V5HW2jTNcDhs4Zg9NuVwOKJvMxbO0BlX6HA4DMNwOp1nO+aE5qYYH6l9OhQKxfTQs1+GUsowDKVUHFs42ynsO5a+197m0eHOzk6/32/JgKH0tFPvtORYisI0Ta21rVPYvQWcSSJD7/NFu+ai1trhcFj1J+e0QqFQIBDo7Oy0cEyfNrp/6HK5om8zFlFW6HA4tNZxbCH2L3E6ndZ+i3qI9NfuKbTWgUDAvimSk5MtPJaCpztmLDmWooiE3tYp7N4CzoSXbgBAOEIPAMIRegAQjtADgHCEHgCEI/QAIByhBwDhCD0ACEfoAUA4Qg8AwhF6ABCO0AOAcIm8qJlINR3/dc0mZyhs6+W6AKBXnNEDgHCEHgCEI/QAIByhBwDhCD0ACEfoAUA4Qg8AwhF6ABCO0AOAcIQeAIQj9AAgHKEHAOEIPQAIx9UrB4AJzU1n+lRyZ3JSUlJLS8u5XA+AgYUzegAQjtADgHCEHgCEI/QAIByhBwDhCD0ACEfoAUA4Qg8AwhF6ABCO0AOAcIQeAIQj9AAgHKEHAOEG+9UrJzQ3+Xw++8Z3Op2dnZ32jQ+RajpOc0w6Q2Fbj6VkQyf5Ay2nm9oqvW5hvNtl3+yDGWf0ACAcoQcA4Qg9AAhH6AFAOEIPAMIRegAQjtADgHCEHgCEI/QAIByhBwDhCD0ACEfoAUC4wX5RM6AfmtDcdOqddl8gL7kzOSkpqaWlxb4pet1C0J1t3+yDGWf0ACAcoQcA4Qg9AAhH6AFAOEIPAMIRegAQjtADgHCEHgCEI/QAIJwtvxkbDocrKioaGxtN0ywtLfV4PHbMAgCIhS1n9LW1tV6vt6ysrKioqKqqyo4pAAAxsiX0dXV1ubm5Sqnc3NzDhw/bMQUAIEa2vHTj9XqzsrKUUunp6V6vt+v+LVu2NDX9/6s1FRQUFBYWRh9Hax0KhexYYYRpmm632+l02jeF1trlctk3vsPhcDgcqamp9k1h9xYMw1BK2boFxbEUA4fDobVO8LGUkWHf7IOZLaF3u90nTpxQSjU3NycnJ3fdn5qaGg6HI7ddLlcgEIgyiGEY4XA4GAzascIIp9MZzv6fgN9v3xSmaUbfZh9ppzPscATa2+2bwu4tGIaRnJoasPOiiYZhhLW291hKSQl1dtr6jToHx5JK+LFk5wYHM1tCn5+fX11drZRqaGjIy8vrun/8+PFdt1tbW1tbW6MMorV2OBx+Oyvscrna29s7OjpsncLn89k3vsfjcTqdbW1t9k1h9xYiZ5G2buHcHEsdHR0cS9HZsYW0tDRrBxTJltfoCwoKPB5PeXn57t27p0yZYscUAIAY2XJGbxjGrFmz7BgZAHC2+IUpABCO0AOAcIQeAIQj9AAgHKEHAOEIPQAIR+gBQDhCDwDCEXoAEI7QA4BwhB4AhCP0ACAcoQcA4Qg9AAhH6AFAOEIPAML139CHw2Fb381ZKfXpp58eO3bM1ilsfZNPpdThw4d37Nhh6xSBQCDy/t026ezsrKiosG98dU6OpW3btg30Y6murm7nzp22TmH3sYQzseUdpmKRmppq6/vNx2LDhg3Dhg3LyclJ7DL64siRIw0NDZMnT070QuLn9Xo/++yz6667LtEL6ZP169ePGDFiQB9L9fX1DQ0NkyZNSvRCYL3+e0YPALAEoQcA4QZ16LOzsz0eT6JX0SdpaWlZWVmJXkWfaK0LCwsTvYq+ysnJ4VhCv2WEw+FErwEAYKNBfUYPAIMBoQcA4RL245WJFQ6HKyoqGhsbTdMsLS3t56+uBgKB5cuXZ2RkKKUuuuiiKVOmdF98SkpKlA/7ydY2bdqUmZlZVFTU4zsfffH9ai9dWxigT0cgEFi3bl1zc3NHR8ecOXNycnIG6BOBODh+85vfJHoNCVBbW/vll1/eeuutwWBw7969/fw/A7/++muv13v77bdfdtlleXl5PRavtY7yYcK3FgqFXnrppZqamqKiohEjRpzV4vvJXnpsYYA+Hfv27Wtpabn55ptzcnIqKyuHDRs24J4IxG2QntHX1dXl5uYqpXJzc+3+zdK+a2pqamxsXLNmjcPhKC4u7rH4pKSkKB8meOlKGYZRVlb2wQcfRD48q8X3k7302MIAfTrS0tIuv/xypVRKSophGAPxiUDcBulr9F6vN/JP7/T0dK/Xm+jl9CIlJWXKlCm33HLLBRdcUFFR0WPx0T9M8NKVMgxDa931i+9ntfh+spceWxigT0d2dnZmZuaRI0deffXVK6+8ciA+EYjbIA292+0+ceKEUqq5uTk5OTnRy+nFeeedd+GFFyqlxo4de+zYsR6Lj/5hYld+qrNafP/cywB9OsLh8Pvvv79+/fqSkpIxY8YIeCIQu0Ea+vz8/CNHjiilGhoa8vLyEr2cXnz88ceffvqpUqq+vj4rK6vH4qN/mNiVn+qsFt8/9zJAn47du3d/8803ZWVlI0eOVCKeCMRukP7CVDgc/uc//9nU1KS1LikpSUlJSfSKomlvb3/77bfb29tN05w9e/bQoUO7Lz45OTnKh/1kaxs3bhw5cmTkp25iX3y/2kvXFgbo07F27dqDBw+63W6lVFpa2oIFCwboE4E4DNLQA8DgMUhfugGAwYPQA4BwhB72Mk2z72+NVFNTU1xcnJ6ePnz48Llz5+7bt8+StQGDBKFHfxcMBmfPnn355Zd//vnnu3btGjt27A033MD/LQGxI/SwTCAQWLx48dChQzMzMx955BGlVHFxcTAYHD169MmTJzdv3jxhwgSPx3PttddGflZv9erVd91118KFCzMyMqZOnbpnz57TDnLkyJH6+vpf/vKXhYWF2dnZTzzxREFBQXNz89atW7ve967r9hdffDF16tQHHnggMzPziiuuqKqqmjhxYmpq6n333Zew7wuQcGHAIq+99trYsWMPHTpUXV3tcrn2798fDocdDoff729sbBw+fPjatWubmpqWLFly1VVXhcPhVatWmab57LPPHjt2bNmyZRdffHEoFDp1EL/f/53vfOeaa66prKz0er1d01VVVX3ve9/rcfs///mP1rq8vPzrr7/+7ne/m5WVVVtbW1VVpZQ6duxYIr4rQOJxRg8r+f3+Y8eOXXLJJfX19eedd17X/evWrbvqqquuv/76oUOHLl++fNu2bcFgUClVVFS0ePHiESNGPProo4cPH96/f/+pg5im+dlnn5WUlDz99NPnndIA820AAAJFSURBVHfetddeG/l9pTPJzs6+9dZbhw0bdvXVV99www35+fmTJk3Kz89vbm62e/tA/zRIL2oGO8ybN6+lpeXuu+8+evTokiVLfvGLX3R96vDhw+vXrx81alTkQ6fTeezYMaVUQUFB5J6kpKRRo0YdOXLk1EE6OzvD4fDixYsXL17s8/n+9re/TZs2bfPmzd2nDnd7yX7IkCGRG6ZpRn4LNHLbrm0D/R5n9LDMwYMHZ8yYsWPHjk8++eSdd97585//3PWp7OzsmTNn1tbW1tbWHjhw4L333osk+NChQ5EHBAKBurq67OzsUwd5/fXXZ8+eHXmYy+W64447Jk+e/Pnnn0e+KnJ/fX39Od0qMKAQelhm7dq1CxYsOHr0aDAY9Pl8XVe/amtrmz179ubNmyNvXvGrX/3qvvvui1wMsqam5vnnn29sbHzooYdycnLGjBlz6iAzZ86srq5++OGH9+3bt2fPnueee2779u3Tp09PT0/fuXPnjh07vv7665UrVyZ060C/RuhhmZ/+9KfZ2dmjR4++7LLLJk+evHDhQqXUjTfemJeXl5qaunr16mXLluXn52/fvv3ll1+OfMl11123YcOGwsLCDz/8cM2aNVrrUwfJysratm3b9u3bp02bNnHixFWrVr322mtjxowZN27c4sWLp02bNn369KVLlyZ060C/xrVukDCrV69et27dmjVrEr0QQDjO6AFAOEIPAMLx0g0ACMcZPQAIR+gBQDhCDwDCEXoAEI7QA4BwhB4AhCP0ACDc/wNtUKogK5NLQwAAAABJRU5ErkJggg==" alt="plot of chunk unnamed-chunk-6"/> </p>
<pre><code class="r">c(mean(imputedDataPerDay$stepsSum),mean(dataPerDay$stepsSum))
</code></pre>
<pre><code>## [1] 10766 9354
</code></pre>
<pre><code class="r">c(median(imputedDataPerDay$stepsSum),median(dataPerDay$stepsSum))
</code></pre>
<pre><code>## [1] 10766 10395
</code></pre>
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<pre><code class="r">indWeekend<-which(weekdays(imputedData$date) %in% c('Saturday','Sunday'), arr.ind = TRUE)
imputedData$day<-"Weekday"
imputedData[indWeekend,]$day<-"Weekend"
imputedData$day<-as.factor(imputedData$day)
imputedDataPerInterval<-ddply(imputedData, .(interval, day), summarize, steps = mean(steps))
ggplot(imputedDataPerInterval, aes(x=interval, y=steps, color = day)) +
geom_line()
</code></pre>
<p><img 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" 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