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<h2>Loading and preprocessing the data</h2>
<pre><code class="r">library(plyr)
library(reshape2)
data <- read.csv("activity.csv",stringsAsFactors=FALSE)
</code></pre>
<h2>What is mean total number of steps taken per day?</h2>
<p>Make a histogram of the total number of steps taken each day, ignoring missing values in the dataset.</p>
<pre><code class="r">melted <- melt(data,c("date"),na.rm=TRUE)
stepsByDay <- dcast(melted,date~variable,sum)
</code></pre>
<pre><code class="r">hist(stepsByDay[,2], xlab="sum of steps taken per day",main="")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-3"/> </p>
<p>Calculate the mean and median total number of steps taken per day.</p>
<pre><code class="r">mean(stepsByDay[,2])
</code></pre>
<pre><code>## [1] 9354
</code></pre>
<pre><code class="r">median(stepsByDay[,2])
</code></pre>
<pre><code>## [1] 10395
</code></pre>
<h2>What is the average daily activity pattern?</h2>
<p>Making a time series plot (i.e. type = “l”) of the 5-minute interval (x-axis) and the average number of steps taken, averaged across all days (y-axis).</p>
<pre><code class="r">melted <- melt(data,c("interval"), measure=c("steps"),na.rm=TRUE)
stepsByInterval <- dcast(melted,interval~variable,mean)
plot(stepsByInterval,type="l",xlab="5-minute interval",ylab="average number of steps")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>
<p>Which 5-minute interval, on average across all the days in the dataset, contains the maximum number of steps?</p>
<pre><code class="r">stepsByInterval[stepsByInterval$steps == max(stepsByInterval$steps),]
</code></pre>
<pre><code>## interval steps
## 104 835 206.2
</code></pre>
<h2>Inputing missing values</h2>
<p>Calculating and reporting the total number of missing values in the dataset (i.e. the total number of rows with NAs)</p>
<pre><code class="r">sum(!complete.cases(data))
</code></pre>
<pre><code>## [1] 2304
</code></pre>
<p>To fill in missing values, replace NA values for given intervals with their corresponding daily steps average. For example, if time interval 1 is an NA value, replace with the calculated daily average for time interval 1.</p>
<pre><code class="r">data_na <- data[!complete.cases(data),]
data_na_filled <- merge(data_na[,c("date","interval")],stepsByInterval,by="interval")
data_na_filled <- data_na_filled[,c("steps","date","interval")]
data_filled <- rbind(data_na_filled, data[complete.cases(data),])
</code></pre>
<p>###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?</p>
<pre><code class="r">melted <- melt(data_filled,c("date"),na.rm=TRUE)
stepsByDay <- dcast(melted,date~variable,sum)
hist(stepsByDay[,2],xlab="sum of steps taken per day",main="")
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-9"/> </p>
<pre><code class="r">mean(stepsByDay[,2])
</code></pre>
<pre><code>## [1] 10766
</code></pre>
<pre><code class="r">median(stepsByDay[,2])
</code></pre>
<pre><code>## [1] 10766
</code></pre>
<p>The values from the estimates from the first part of the assignment vary slightly. The impact of inputing missing data makes the total steps distribution appear more normal.</p>
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<pre><code class="r">data_filled$date <- as.Date(data_filled$date,"%Y-%m-%d")
</code></pre>
<p>Assign weekday and weekend values in new day column.</p>
<pre><code class="r">for (i in 1:length(data_filled$date)) {
noDayofWeek <- as.POSIXlt(data_filled$date[i])$wday
if (noDayofWeek > 0 & noDayofWeek < 6) {
data_filled$day[i] <- c("weekday")
}
else {
data_filled$day[i] <- c("weekend")
}
}
</code></pre>
<p>Plot using lattice:</p>
<pre><code class="r">melted <- melt(data_filled,c("interval","day"), measure=c("steps"),na.rm=TRUE)
stepsByInterval <- dcast(melted,interval + day~variable,mean)
library(lattice)
xyplot(steps~interval | day, data=stepsByInterval, layout=c(1,2), type="l", xlab="Interval", ylab="Number of steps")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-13"/> </p>
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