---
title: "Stat 123 Homework 2"
author: "Your Name Here"
date: "Enter Date"
output: word_document
---


Using the file given in the instructions, read the daily interest in lds.org for 2014-06-09 through 2014-09-06 into an data.frame.
```{r}
data <- read.csv("reportclean.csv")

```

Name the variables in the data.frame "date" and "interest".
```{r}
colnames(data)[1] <- "date"
colnames(data)[2] <- "interest"

```

Replace the "date" character vector in the data.frame into a vector of Date objects of the same name.
```{r}
i_n <- toString(data[1, "date"])
vector1 <- c(as.Date(i_n))

for (row in 2:nrow(data)) {
	
	i_n <- toString(data[row, "date"])
	vector1 <- c(vector1, as.Date(i_n))
	
	
	#vector[row] <- as.Date(i_n)
			
}
data["date"] <- vector1



```

Use the "weekdays" function to define a new variable in the data.frame called "weekday" from the "date" variable.
```{r}
weekday <- c(weekdays(data[1, "date"]))

for (row in 2:nrow(data)) {
	weekday <- c(weekday,weekdays(data[row, "date"]))
			
}
data["weekday"] <- weekday 


```

Find the mean of the interest variable across all Mondays.  
```{r}

weekdays1 <- c('Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday')
print("Monday")
mean(data.matrix(data[data$weekday=='Monday',"interest"]))
```

Find the mean of the interest variable for the weekends.
```{r}
print("Weekends")
mean(data.matrix(data[!is.element(data$weekday,weekdays1),"interest"]))
```

Find the mean of the interest variable for all weekdays.
```{r}

print("Weekdays")
mean(data.matrix(data[is.element(data$weekday,weekdays1),"interest"]))

```

Comment on whether you believe there is a statistically significant
difference between the mean interest on weekdays and weekends?  You don't
have to do a formal test.  We're asking for just your intuition after seeing
the data. Since your response won't be executable code, do not include it in an r chunk, or if you do, prefix your comments with R's comment character, #.

What are the median, minimum, and maximum interest?
```{r}

print("Median")
median(data$interest)
print("Minimum")
min(data$interest)
print("Maximum")
max(data$interest)

```


What is the correlation between interests one day apart?
```{r}

first <- c(data[1,"interest"])
second <- c(data[2,"interest"])
first_ <- TRUE
for (row in 3:nrow(data)) {
	if(first_==TRUE){
		first_ <- FALSE
		first <- c(first,data[row,"interest"])
	}
	else{
		first_ <- TRUE
		second <- c(second ,data[row,"interest"])

	}
		

}



print("Correlation")

print(cor(first,second))

```