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<title>Loading and preprocessing the data</title>
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<p>The following R code initially loads the required packages and sets some global options.</p>
<pre><code class="r">library(knitr)
library(ggplot2)
library(plyr)
opts_chunk$set(echo=TRUE, warning=FALSE, message=FALSE)
</code></pre>
<h2>Loading and preprocessing the data</h2>
<p>The following R code is used to unzip (if necessary) the zipped data
file, load the data, and add another column containing the date in the
class <code>Date</code>.</p>
<pre><code class="r">stopifnot(file.exists("activity.zip"))
if (!file.exists("activity.csv")){
unzip("activity.zip")
}
data <- read.csv(file="activity.csv")
data$date2 <- as.Date(data$date)
</code></pre>
<h2>What is mean total number of steps taken per day?</h2>
<p>The following R code summarizes the data for each day, produces a
histogram of it, and calculates the mean and median of the total
number of steps taken per day.</p>
<pre><code class="r">steps <- ddply(data, .(date), summarise, total=sum(steps, na.rm=TRUE))
steps.mean <- format(round(mean(steps$total, na.rm=TRUE), digits=2), scientific=FALSE)
steps.median <-format(median(steps$total, na.rm=TRUE), scientific=FALSE)
ggplot(steps, aes(x=total)) + geom_histogram(binwidth=1000) +
xlab("Frequency") + ylab("Total number of steps taken per day")
</code></pre>
<p><img 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" alt="plot of chunk total_number_of_steps"/> </p>
<p>The mean and median total number of steps taken per day are 9354.23 and 10395, respectively.</p>
<h2>What is the average daily activity pattern?</h2>
<p>The following R code summarizes the data by each 5-minute interval,
produces a time series plot, and calculates the 5-minute interval that
contains the maximum number of steps.</p>
<pre><code class="r">interval <- ddply(data, .(interval), summarise, mean.steps=mean(steps, na.rm=TRUE))
interval.max <- interval$interval[which.max(interval$mean.steps)]
ggplot(interval, aes(x=interval, y=mean.steps)) + geom_line() +
xlab("Mean number of steps taken") + ylab("5-minute interval")
</code></pre>
<p><img 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" alt="plot of chunk average_daily_activity"/> </p>
<p>The maximum number of steps are contained in the 5-minute interval 835.</p>
<h2>Imputing missing values</h2>
<pre><code class="r">NA.total <- sum(is.na(data))
data.noNA <- data
data.noNA <- ddply(data.noNA, .(interval), transform, mean.steps=mean(steps, na.rm=TRUE))
NA.idx <- which(is.na(data.noNA$steps))
data.noNA$steps[NA.idx] <- data.noNA$mean.steps[NA.idx]
data.noNA$mean.steps <- NULL
steps.noNA <- ddply(data.noNA, .(date), summarise, total=sum(steps, na.rm=TRUE))
steps.noNA.mean <- format(round(mean(steps.noNA$total, na.rm=TRUE), digits=2), scientific=FALSE)
steps.noNA.median <- format(median(steps.noNA$total, na.rm=TRUE), scientific=FALSE)
ggplot(steps.noNA, aes(x=total)) + geom_histogram(binwidth=1000) +
xlab("Frequency") + ylab("Total number of steps (including imputed values) taken per day")
</code></pre>
<p><img 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" alt="plot of chunk imputing_missing_values"/> </p>
<p>The original dataset contains 2304 number of missing
values. In order to fill these values, the mean for the associated 5-minute
interval is taken as suggested in the task description. The dataset
<code>data.noNA</code> is created that replaces missing values by imputed
ones. The histogram of the total number of steps taken each day and
the calculation of the mean and median of this distribution is done as
before. The mean and median total number of steps taken per day are 10766.19 and 10766.19, respectively. Due to the
simplicity of the strategy of imputing values and the large number of
them, the impact of these values on the estimates is considerable, in
particular on the mean as one would expect.</p>
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<pre><code class="r">data.noNA$weekday <- ifelse(weekdays(data.noNA$date2) %in% c("Saturday", "Sunday"), "weekend", "weekday")
data.noNA$weekday <- factor(data.noNA$weekday, levels=c("weekend", "weekday"))
interval <- ddply(data.noNA, .(interval,weekday), summarise, mean.steps=mean(steps, na.rm=TRUE))
ggplot(interval, aes(x=interval, y=mean.steps)) + geom_line() + facet_grid(weekday ~ .) +
xlab("Mean number of steps taken") + ylab("5-minute interval")
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk activity_patterns_weekdays_weekends"/> </p>
<p>The R code above creates the factor variable <code>weekday</code> with two levels
– “weekday” and “weekend”. The average number of steps taken is then
averaged across all weekday days or weekend days and illustrated as
time series plot. It is very obvious that both curves differ quite a
lot. In particular the middle part shows a lower number of steps
during weekdays compared to the weekend which is logical considering
that most people work in offices during weekdays.</p>
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