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<h2>Loading and preprocessing the data</h2>
<pre><code class="r">data <- read.csv("activity.csv")
</code></pre>
<h2>What is mean total number of steps taken per day?</h2>
<pre><code class="r">steps_per_day <- tapply(data$steps, data$date, sum)
hist(steps_per_day)
</code></pre>
<p><img 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alt="plot of chunk unnamed-chunk-2"/> </p>
<pre><code class="r">mean(steps_per_day, na.rm = TRUE)
</code></pre>
<pre><code>## [1] 10766
</code></pre>
<pre><code class="r">median(steps_per_day, na.rm = TRUE)
</code></pre>
<pre><code>## [1] 10765
</code></pre>
<h2>What is the average daily activity pattern?</h2>
<pre><code class="r">steps_per_int <- tapply(data$steps, data$interval, mean, na.rm = TRUE)
plot(steps_per_int, type = "l", col = "blue", main = "daily activity pattern",
xlab = "5-min interval", ylab = "average number of steps")
</code></pre>
<p><img 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alt="plot of chunk unnamed-chunk-3"/> </p>
<p>Which 5-minute interval, on average across all days in the dataset, contains the maximum number of steps? Minute of day of the interval start will be reported above the interval number:</p>
<pre><code class="r">which(steps_per_int == max(steps_per_int))
</code></pre>
<pre><code>## 835
## 104
</code></pre>
<h2>Imputing missing values</h2>
<p>Total number of missing values in the dataset:</p>
<pre><code class="r">sum(is.na(data$steps))
</code></pre>
<pre><code>## [1] 2304
</code></pre>
<p>Impute missing values by filing in the daily average of the interval:</p>
<pre><code class="r">data$steps_imputed <- data$steps
data[is.na(data$steps), "steps_imputed"] <- steps_per_int
</code></pre>
<p>Histogram, mean and median of imputed steps per interval:</p>
<pre><code class="r">steps_per_day_imp <- tapply(data$steps_imputed, data$date, sum)
hist(steps_per_day_imp)
</code></pre>
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alt="plot of chunk unnamed-chunk-7"/> </p>
<pre><code class="r">mean(steps_per_day_imp)
</code></pre>
<pre><code>## [1] 10766
</code></pre>
<pre><code class="r">median(steps_per_day_imp)
</code></pre>
<pre><code>## [1] 10766
</code></pre>
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<pre><code class="r"># this is independent of any languange environment; values 0..6, starting on
# Sunday, c.f. help
dayOfWeek <- as.POSIXlt(data$date)$wday
data_augm <- data.frame(date = data$date, interval = data$interval, steps = data$steps_imputed,
weekend = (dayOfWeek %in% c(6, 0)))
steps_per_int_wd <- tapply(data_augm$steps, list(data_augm$weekend, data_augm$interval),
mean, na.rm = TRUE)
par(mfrow = c(2, 1))
plot(steps_per_int_wd["TRUE", ], type = "l", col = "blue", main = "daily activity pattern: weekend",
xlab = "5-min interval", ylab = "average number of steps")
plot(steps_per_int_wd["FALSE", ], type = "l", col = "blue", main = "daily activity pattern: workday",
xlab = "5-min interval", ylab = "average number of steps")
</code></pre>
<p><img 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" 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