RepData_PeerAssessment1/PA1_template.html at master · christopherdparker/RepData_PeerAssessment1 · GitHub

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<h2>Loading and preprocessing the data</h2>

<p>I begin by loading the necessary packages and importing the data.</p>

<pre><code class="r">library(dplyr)
library(ggplot2)
data = read.csv(unz(&quot;activity.zip&quot;, &quot;activity.csv&quot;), colClasses = c(&quot;integer&quot;, &quot;Date&quot;, &quot;integer&quot;))
</code></pre>

<h2>What is mean total number of steps taken per day?</h2>

<p>Here is the distribution of the total number of steps taken in a day.</p>

<pre><code class="r">dailysteps = summarize(group_by(data,date), numsteps = sum(steps,na.rm = TRUE))
qplot(dailysteps$numsteps)
</code></pre>

<pre><code>## stat_bin: binwidth defaulted to range/30. Use &#39;binwidth = x&#39; to adjust this.
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-2"/> </p>

<p>The mean number of steps taken in a day is:</p>

<pre><code class="r">mean(dailysteps$numsteps)
</code></pre>

<pre><code>## [1] 9354.23
</code></pre>

<p>and the median number of steps is:</p>

<pre><code class="r">median(dailysteps$numsteps)
</code></pre>

<pre><code>## [1] 10395
</code></pre>

<h2>What is the average daily activity pattern?</h2>

<p>Below is a plot of the average steps taken in each five minute interval across all days. </p>

<pre><code class="r">intervalsteps = summarize(group_by(data,interval), avesteps = mean(steps,na.rm = TRUE))
qplot(interval,avesteps, data = intervalsteps, geom = &quot;path&quot;)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>

<p>The maximum average number of steps occurs during this five minute interval:</p>

<pre><code class="r">intervalsteps$interval[max(intervalsteps$avesteps)==intervalsteps$avesteps]
</code></pre>

<pre><code>## [1] 835
</code></pre>

<h2>Imputing missing values</h2>

<p>There are:</p>

<pre><code class="r">sum(is.na(data$steps))
</code></pre>

<pre><code>## [1] 2304
</code></pre>

<p>intervals with missing values.</p>

<p>To impute these missing values I use the average number of steps taken in the five minute interval across all days when that interval is not missing.</p>

<pre><code class="r">data_imp = data %&gt;%
    group_by(interval) %&gt;%
    mutate(imputesteps = mean(steps ,na.rm = TRUE))

data_imp$steps[is.na(data_imp$steps)] = data_imp$imputesteps[is.na(data_imp$steps)]
data_imp = select(data_imp,-imputesteps)
</code></pre>

<p>Now that the data is imputed we can view the histogram for the total steps taken in a day.</p>

<pre><code class="r">dailysteps_imp = summarize(group_by(data_imp,date), numsteps = sum(steps,na.rm = TRUE))
qplot(dailysteps_imp$numsteps)
</code></pre>

<pre><code>## stat_bin: binwidth defaulted to range/30. Use &#39;binwidth = x&#39; to adjust this.
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>

<p>Note that the imputation has increased the estimates of the average and median number of steps taken on each day:</p>

<pre><code class="r">mean(dailysteps_imp$numsteps)
</code></pre>

<pre><code>## [1] 10766.19
</code></pre>

<pre><code class="r">median(dailysteps_imp$numsteps)
</code></pre>

<pre><code>## [1] 10766.19
</code></pre>

<h2>Are there differences in activity patterns between weekdays and weekends?</h2>

<p>Unsurprisingly, there are differences between weekday and weekends in terms of steps taken in any five minute interval.</p>

<pre><code class="r">data_imp$weekday = weekdays(data_imp$date)
data_imp$weekend = &quot;Weekday&quot;
data_imp$weekend[data_imp$weekday == &quot;Saturday&quot; | data_imp$weekday == &quot;Sunday&quot;] = &quot;Weekend&quot;
data_imp$weekend = as.factor(data_imp$weekend)

intervalsteps = summarize(group_by(data_imp,interval,weekend), avesteps = mean(steps,na.rm = TRUE))
qplot(interval,avesteps, data = intervalsteps, facets = weekend ~ ., geom = &quot;path&quot;)
</code></pre>

<p><img 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" alt="plot of chunk unnamed-chunk-11"/> </p>

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