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<h2>Loading and preprocessing the data</h2>
<pre><code class="r">library(stringi)
library(lubridate)
library(ggplot2)
if (!file.exists("activity.csv")) unzip("activity.zip")
activity <- read.csv("activity.csv", colClasses = c("integer", "Date", "character"))
activity$time <- parse_date_time(stri_pad_left(activity$interval, 4, 0), "hm")
str(activity)
</code></pre>
<pre><code>## 'data.frame': 17568 obs. of 4 variables:
## $ steps : int NA NA NA NA NA NA NA NA NA NA ...
## $ date : Date, format: "2012-10-01" "2012-10-01" ...
## $ interval: chr "0" "5" "10" "15" ...
## $ time : POSIXct, format: "0000-01-01 00:00:00" "0000-01-01 00:05:00" ...
</code></pre>
<h2>What is mean total number of steps taken per day?</h2>
<pre><code class="r">total_steps_per_day <- aggregate(steps ~ date, activity, sum)
hist(total_steps_per_day$steps)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-2"/> </p>
<h3>Calculating the mean and median</h3>
<pre><code class="r">mean(total_steps_per_day$steps)
</code></pre>
<pre><code>## [1] 10766.19
</code></pre>
<pre><code class="r">median(total_steps_per_day$steps)
</code></pre>
<pre><code>## [1] 10765
</code></pre>
<h2>What is the average daily activity pattern?</h2>
<pre><code class="r">mean_steps_per_interval <- aggregate(steps ~ time, activity, mean)
</code></pre>
<h3>Calculating which 5-minute interval has the maximum of the mean steps</h3>
<pre><code class="r">max_steps <- mean_steps_per_interval[which.max(mean_steps_per_interval$steps),]
max_label <- paste(round(max_steps$steps, 1),
"steps maximum at", format(max_steps$time, "%H:%M"))
max_label
</code></pre>
<pre><code>## [1] "206.2 steps maximum at 08:35"
</code></pre>
<h3>Plotting the mean steps for each 5-minute interval</h3>
<pre><code class="r">with(mean_steps_per_interval, {
plot(time, steps, type = "l")
text(max_steps, max_label, pos = 4)
})
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-6"/> </p>
<h2>Imputing missing values</h2>
<h3>Calculating the total number of rows with missing values</h3>
<pre><code class="r">steps <- activity$steps
sum(is.na(steps))
</code></pre>
<pre><code>## [1] 2304
</code></pre>
<h3>Filling in missing values with the mean for the 5-minute interval</h3>
<pre><code class="r">for (i in which(is.na(steps))) {
steps[i] <- subset(mean_steps_per_interval, time == activity$time[i])$steps
}
filled_in_total_steps_per_day <- aggregate(steps ~ date,
cbind(steps, subset(activity, select = 'date')), sum)
hist(filled_in_total_steps_per_day$steps)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-8"/> </p>
<h3>Mean and median with the missing values filled in</h3>
<pre><code class="r">mean(filled_in_total_steps_per_day$steps)
</code></pre>
<pre><code>## [1] 10766.19
</code></pre>
<pre><code class="r">median(filled_in_total_steps_per_day$steps)
</code></pre>
<pre><code>## [1] 10766.19
</code></pre>
<p>Using the means of the 5-minute intervals to fill in missing values did not affect the mean total steps per day, but it increased the median so that it became equal to the mean.</p>
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<h3>Assigning a factor to each observation identifying weekdays and weekends</h3>
<pre><code class="r">weekpart <- rep("weekday", length(activity$date))
weekpart[which(weekdays(activity$date) %in% c("Saturday", "Sunday"))] <- "weekend"
activity$weekpart <- as.factor(weekpart)
</code></pre>
<h3>Plotting the average daily activity for weekdays and weekends</h3>
<pre><code class="r">qplot(time, steps, geom = "line", facets = weekpart ~ .,
data = aggregate(steps ~ time + weekpart, activity, mean))
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-11"/> </p>
<p>The weekday and weekend activity patterns appear similar, but more steps were taken in the morning on weekdays, whereas more steps were taken later in the day on weekends.</p>
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