Setting some global options
knitr::opts_chunk$set(
comment = "",
message=F,
warning = F
)
Loading required packages
packages <- c("ggplot2", "dplyr")
if("pacman" %in% rownames(installed.packages()) == F){
install.packages("pacman")
pacman::p_load(packages)
} else {
pacman::p_load(packages, character.only = T)
}
Loading and preprocessing the data
Question:
Show any code that is needed to -
- Load the data
- Process/transform the data (if necessary) into a format suitable for your analysis
Solution:
Loading the data:
init.activity <- read.csv(unz("activity.zip", "activity.csv"),
colClasses=c("numeric", "Date", "numeric"))
summary(init.activity)
steps date interval
Min. : 0.00 Min. :2012-10-01 Min. : 0.0
1st Qu.: 0.00 1st Qu.:2012-10-16 1st Qu.: 588.8
Median : 0.00 Median :2012-10-31 Median :1177.5
Mean : 37.38 Mean :2012-10-31 Mean :1177.5
3rd Qu.: 12.00 3rd Qu.:2012-11-15 3rd Qu.:1766.2
Max. :806.00 Max. :2012-11-30 Max. :2355.0
NA's :2304
activity <- subset(init.activity, !is.na(init.activity$steps))
summary(activity)
steps date interval
Min. : 0.00 Min. :2012-10-02 Min. : 0.0
1st Qu.: 0.00 1st Qu.:2012-10-16 1st Qu.: 588.8
Median : 0.00 Median :2012-10-29 Median :1177.5
Mean : 37.38 Mean :2012-10-30 Mean :1177.5
3rd Qu.: 12.00 3rd Qu.:2012-11-16 3rd Qu.:1766.2
Max. :806.00 Max. :2012-11-29 Max. :2355.0
What is mean total number of steps taken per day?
Questions:
For this part of the assignment, you can ignore the missing values in the dataset.
- Calculate the total number of steps taken per day
- If you do not understand the difference between a histogram and a barplot, research the difference between them. Make a histogram of the total number of steps taken each day
- Calculate and report the mean and median of the total number of steps taken per day
Solutions:
Answer 1
Calculating total number of steps taken per day -
perday.steps <- aggregate(steps ~ date, data = activity, FUN = sum)
head(perday.steps)
date steps
1 2012-10-02 126
2 2012-10-03 11352
3 2012-10-04 12116
4 2012-10-05 13294
5 2012-10-06 15420
6 2012-10-07 11015
summary(perday.steps)
date steps
Min. :2012-10-02 Min. : 41
1st Qu.:2012-10-16 1st Qu.: 8841
Median :2012-10-29 Median :10765
Mean :2012-10-30 Mean :10766
3rd Qu.:2012-11-16 3rd Qu.:13294
Max. :2012-11-29 Max. :21194
Answer 2
Making a histogram of the total number of steps taken per day -
perday.steps %>% ggplot() +
geom_histogram(aes(x = steps), boundary = 0,
binwidth = 3000, col = "white", fill = "royalblue4") +
scale_x_continuous(breaks = seq(0, 24000, 3000)) +
scale_y_continuous(breaks = seq(0, 20, 3)) +
theme_bw() +
labs(title = "Histogram of steps taken per day",
x = "Steps per day", y = "No. of days") +
theme(plot.title = element_text(face = "bold", size = 15, hjust = 0.5))

Answer 3
Calculating mean -
mean(perday.steps$steps)
[1] 10766.19
Calculating median -
median(perday.steps$steps)
[1] 10765
What is the average daily activity pattern?
Questions:
- Make 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)
- Which 5-minute interval, on average across all the days in the dataset, contains the maximum number of steps?
Solutions:
Answer 1
activity %>%
group_by(interval) %>%
summarise(average = mean(steps)) %>%
ggplot() +
geom_line(aes(x = interval, y = average), col = "royalblue4") +
scale_x_continuous(breaks = seq(0, 2400, 200)) +
labs(title = "Average Steps Taken", subtitle = "Per time interval",
x = "Time Interval", y = "Average steps") +
theme(plot.title = element_text(face = "bold", size = 15, hjust = 0))

Answer 2
activity %>%
group_by(interval) %>%
summarise(average = mean(steps)) %>%
filter(average == max(average))
# A tibble: 1 x 2
interval average
<dbl> <dbl>
1 835 206.
Imputing missing values
Questions:
Note that there are a number of days/intervals where there are missing values (coded as NA). The presence of missing days may introduce bias into some calculations or summaries of the data.
- Calculate and report the total number of missing values in the dataset (i.e. the total number of rows with NAs)
- Devise a strategy for filling in all of the missing values in the dataset. The strategy does not need to be sophisticated. For example, you could use the mean/median for that day, or the mean for that 5-minute interval, etc.
- Create a new dataset that is equal to the original dataset but with the missing data filled in.
- 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?
Solutions:
Answer 1
summary(init.activity)
steps date interval
Min. : 0.00 Min. :2012-10-01 Min. : 0.0
1st Qu.: 0.00 1st Qu.:2012-10-16 1st Qu.: 588.8
Median : 0.00 Median :2012-10-31 Median :1177.5
Mean : 37.38 Mean :2012-10-31 Mean :1177.5
3rd Qu.: 12.00 3rd Qu.:2012-11-15 3rd Qu.:1766.2
Max. :806.00 Max. :2012-11-30 Max. :2355.0
NA's :2304
(!complete.cases(init.activity)) %>% sum()
[1] 2304
There is in total 2304 rows with missing values (NAs).
Answer 2
We will use average steps by time interval to replace the missing values.
noNA.activity <- init.activity
med.steps <- aggregate(steps ~ interval, data = noNA.activity,
FUN = mean)
head(med.steps)
interval steps
1 0 1.7169811
2 5 0.3396226
3 10 0.1320755
4 15 0.1509434
5 20 0.0754717
6 25 2.0943396
Answer 3
Replacing missing values with the median values found by grouping of intervals -
noNA.activity$steps <- ifelse(is.na(noNA.activity$steps),
med.steps$steps[match(x = init.activity$interval,
table = med.steps$interval)],
noNA.activity$steps)
summary(noNA.activity)
steps date interval
Min. : 0.00 Min. :2012-10-01 Min. : 0.0
1st Qu.: 0.00 1st Qu.:2012-10-16 1st Qu.: 588.8
Median : 0.00 Median :2012-10-31 Median :1177.5
Mean : 37.38 Mean :2012-10-31 Mean :1177.5
3rd Qu.: 27.00 3rd Qu.:2012-11-15 3rd Qu.:1766.2
Max. :806.00 Max. :2012-11-30 Max. :2355.0
str(noNA.activity)
'data.frame': 17568 obs. of 3 variables:
$ steps : num 1.717 0.3396 0.1321 0.1509 0.0755 ...
$ date : Date, format: "2012-10-01" "2012-10-01" ...
$ interval: num 0 5 10 15 20 25 30 35 40 45 ...
Answer 4
noNA.activity %>%
group_by(date) %>%
summarise(steps = sum(steps)) %>%
ggplot() +
geom_histogram(aes(x = steps), boundary = 0,
binwidth = 2700, col = "darkgreen", fill = "lightgreen") +
scale_x_continuous(breaks = seq(0, 22000, 2700)) +
scale_y_continuous(breaks = seq(0, 20, 3)) +
theme_bw() +
labs(title = "Histogram of steps taken per day",
subtitle = "With new data set with replaced missing values",
x = "Steps per day", y = "No. of days") +
theme(plot.title = element_text(face = "bold", size = 15, hjust = 0.5),
plot.subtitle = element_text(hjust = 0.5))

Are there differences in activity patterns between weekdays and weekends?
Questions: For this part the weekdays() function may be of some help here. Use the dataset with the filled-in missing values for this part.
- Create a new factor variable in the dataset with two levels – “weekday” and “weekend” indicating whether a given date is a weekday or weekend day.
- Make a panel plot containing 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 weekday days or weekend days (y-axis). See the README file in the GitHub repository to see an example of what this plot should look like using simulated data.
Solutions:
Answer 1
noNA.activity$days <- as.factor(weekdays(noNA.activity$date))
condition <- noNA.activity$days %in% c("Saturday", "Sunday")
noNA.activity$weekday <- as.factor(
ifelse(condition , "weekend", "weekday")
)
summary(noNA.activity)
steps date interval days
Min. : 0.00 Min. :2012-10-01 Min. : 0.0 Friday :2592
1st Qu.: 0.00 1st Qu.:2012-10-16 1st Qu.: 588.8 Monday :2592
Median : 0.00 Median :2012-10-31 Median :1177.5 Saturday :2304
Mean : 37.38 Mean :2012-10-31 Mean :1177.5 Sunday :2304
3rd Qu.: 27.00 3rd Qu.:2012-11-15 3rd Qu.:1766.2 Thursday :2592
Max. :806.00 Max. :2012-11-30 Max. :2355.0 Tuesday :2592
Wednesday:2592
weekday
weekday:12960
weekend: 4608
Answer 2
activity.by.date <- aggregate(steps~interval + weekday,
data = noNA.activity,
FUN = function(x) round(mean(x),2))
head(activity.by.date)
interval weekday steps
1 0 weekday 2.25
2 5 weekday 0.45
3 10 weekday 0.17
4 15 weekday 0.20
5 20 weekday 0.10
6 25 weekday 1.59
activity.by.date %>% ggplot(aes(interval, steps)) +
geom_line(col = "darkblue") +
facet_wrap(~weekday,ncol = 1) +
labs(x = "Interval", y = "Number of Steps",
title = "Patterns of steps in weekday and weekends")

---
title: "Reproducible Research: Peer Assessment 1"
author: Md Ahsanul Islam
output: 
  html_document:
    keep_md: true
    toc_float: true
    toc: true
    code_download: true
---

---

**Setting some global options**

```{r}
knitr::opts_chunk$set(
  comment = "", 
  message=F, 
  warning = F
)
```

**Loading required packages**   

```{r}
packages <- c("ggplot2", "dplyr")

if("pacman" %in% rownames(installed.packages()) == F){
  install.packages("pacman")
  pacman::p_load(packages)
} else {
  pacman::p_load(packages, character.only = T)
}
```


## Loading and preprocessing the data

**Question:**  
Show any code that is needed to -

1. Load the data   
2. Process/transform the data (if necessary) into a format suitable for your analysis   

**Solution:**  

Loading the data:
```{r}
init.activity <- read.csv(unz("activity.zip", "activity.csv"), 
                     colClasses=c("numeric", "Date", "numeric"))
```

```{r}
summary(init.activity)
```

```{r}
activity <- subset(init.activity, !is.na(init.activity$steps))
summary(activity)
```



## What is mean total number of steps taken per day? {.tabset .tabset-fade .tabset-pills}

**Questions:**  
For this part of the assignment, you can ignore the missing values in the dataset.

1. Calculate the total number of steps taken per day
2. If you do not understand the difference between a histogram and a barplot, research the difference between them. Make a histogram of the total number of steps taken each day
3. Calculate and report the mean and median of the total number of steps taken per day

**Solutions:**   

### Answer 1

Calculating total number of steps taken per day - 
```{r}
perday.steps <- aggregate(steps ~ date, data = activity, FUN = sum)
head(perday.steps)
summary(perday.steps)
```

### Answer 2

Making a histogram of the total number of steps taken per day -
```{r}
perday.steps %>% ggplot() +
  geom_histogram(aes(x = steps), boundary = 0, 
                 binwidth = 3000, col = "white", fill = "royalblue4") +
  scale_x_continuous(breaks = seq(0, 24000, 3000)) +
  scale_y_continuous(breaks = seq(0, 20, 3)) +
  theme_bw() +
  labs(title = "Histogram of steps taken per day",
       x = "Steps per day", y = "No. of days") +
  theme(plot.title = element_text(face = "bold", size = 15, hjust = 0.5))
```

### Answer 3

Calculating mean - 
```{r}
mean(perday.steps$steps)
```
Calculating median - 
```{r}
median(perday.steps$steps)
```

## What is the average daily activity pattern? {.tabset .tabset-fade .tabset-pills}

**Questions:**   

1. Make 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)
2. Which 5-minute interval, on average across all the days in the dataset, contains the maximum number of steps?

**Solutions:**   

### Answer 1

```{r}
activity %>% 
  group_by(interval) %>% 
  summarise(average = mean(steps)) %>% 
  ggplot() + 
  geom_line(aes(x = interval, y = average), col = "royalblue4") +
  scale_x_continuous(breaks = seq(0, 2400, 200)) +
  labs(title = "Average Steps Taken", subtitle = "Per time interval",
       x = "Time Interval", y = "Average steps") +
  theme(plot.title = element_text(face = "bold", size = 15, hjust = 0))
```

### Answer 2

```{r}
activity %>% 
  group_by(interval) %>% 
  summarise(average = mean(steps)) %>% 
  filter(average == max(average))
```

## Imputing missing values {.tabset .tabset-fade .tabset-pills}

**Questions:**   
Note that there are a number of days/intervals where there are missing values (coded as \color{red}{\verb|NA|}NA). The presence of missing days may introduce bias into some calculations or summaries of the data.

1. Calculate and report the total number of missing values in the dataset (i.e. the total number of rows with \color{red}{\verb|NA|}NAs)
2. Devise a strategy for filling in all of the missing values in the dataset. The strategy does not need to be sophisticated. For example, you could use the mean/median for that day, or the mean for that 5-minute interval, etc.
3. Create a new dataset that is equal to the original dataset but with the missing data filled in.
4. 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?

**Solutions:** 

### Answer 1

```{r}
summary(init.activity)
(!complete.cases(init.activity)) %>% sum()
```
There is in total 2304 rows with missing values (NAs).

### Answer 2

We will use average steps by time interval to replace the missing values.

```{r}
noNA.activity <- init.activity
med.steps <- aggregate(steps ~ interval, data = noNA.activity, 
                       FUN = mean)
head(med.steps)
```

### Answer 3

Replacing missing values with the median values found by grouping of intervals -
```{r}
noNA.activity$steps <- ifelse(is.na(noNA.activity$steps),
                        med.steps$steps[match(x = init.activity$interval, 
                                              table = med.steps$interval)],
                        noNA.activity$steps)
```

```{r}
summary(noNA.activity)
```
```{r}
str(noNA.activity)
```

### Answer 4

```{r}
noNA.activity %>%
  group_by(date) %>%
  summarise(steps = sum(steps)) %>% 
  ggplot() +
  geom_histogram(aes(x = steps), boundary = 0, 
                 binwidth = 2700, col = "darkgreen", fill = "lightgreen") +
  scale_x_continuous(breaks = seq(0, 22000, 2700)) +
  scale_y_continuous(breaks = seq(0, 20, 3)) +
  theme_bw() +
  labs(title = "Histogram of steps taken per day",
       subtitle = "With new data set with replaced missing values",
       x = "Steps per day", y = "No. of days") +
  theme(plot.title = element_text(face = "bold", size = 15, hjust = 0.5),
        plot.subtitle = element_text(hjust = 0.5))
```


## Are there differences in activity patterns between weekdays and weekends? {.tabset .tabset-fade .tabset-pills}

**Questions:**
For this part the \color{red}{\verb|weekdays()|}weekdays() function may be of some help here. Use the dataset with the filled-in missing values for this part.

1. Create a new factor variable in the dataset with two levels – “weekday” and “weekend” indicating whether a given date is a weekday or weekend day.
2. Make a panel plot containing a time series plot (i.e. \color{red}{\verb|type = "l"|}type = "l") of the 5-minute interval (x-axis) and the average number of steps taken, averaged across all weekday days or weekend days (y-axis). See the README file in the GitHub repository to see an example of what this plot should look like using simulated data.

**Solutions:**

### Answer 1

```{r}
noNA.activity$days <- as.factor(weekdays(noNA.activity$date))
condition <- noNA.activity$days %in% c("Saturday", "Sunday")
noNA.activity$weekday <- as.factor(
  ifelse(condition , "weekend", "weekday")
  )
summary(noNA.activity)
```

### Answer 2

```{r}
activity.by.date <- aggregate(steps~interval + weekday, 
                              data = noNA.activity,
                              FUN = function(x) round(mean(x),2))
head(activity.by.date)
```

```{r}
activity.by.date %>% ggplot(aes(interval, steps)) +
  geom_line(col = "darkblue") +
  facet_wrap(~weekday,ncol = 1) +
  labs(x = "Interval", y = "Number of Steps",
       title = "Patterns of steps in weekday and weekends")
```

