Please use the data file $$A$1\_$College.csv$$ to answer the following questions. This data set contains a number of features for different universities and colleges in the US$.$ The

variables are

$$ Private : Public$/$private indicator

$$ Apps : Number of applications received

$$ Accept : Number of applicants accepted

$$ Enroll : Number of new students enrolled

$$ Top$10$perc : New students from top $10\%$ of high school class

$$ Top$25$perc : New students from top $25\%$ of high school class

$$ F$.$Undergrad : Number of full$-$time undergraduates

$$ P$.$Undergrad : Number of part$-$time undergraduates

$$ Outstate : Out$-$of$-$state tuition

$$ Room.Board : Room and board costs

$$ Books : Estimated book costs

$$ Personal : Estimated personal spending

$$ PhD : Percent of faculty with Ph$.$D$.$s

$$ Terminal : Percent of faculty with terminal degree

$$ S$.$F$.$Ratio : Student$/$faculty ratio

$$ perc.alumni : Percent of alumni who donate

$$ Expend : Instructional expenditure per student

$$ Grad.Rate : Graduation rate

$($a$)$ Read the data into R using the read.csv$()$ function. Call the loaded data college. How many observations $($i$.$e$,$ number of rows$)$ in the data set? What do the rows and columns represent?

$($b$)$ Find the mean and standard deviation for the variables $$Apps$$ and $$Enroll$.$

$($c$)$ Find the number and percentage of schools in the data set that are public.

$($d$)$ Create a boxplot for the variable $$Outstate$.$

$($e$)$ Create a side$-$by$-$side boxplots of $$Outstate$$ versus $$Private$.$ What do you observe from the side$-$by$-$side boxplots?

$($f$)$ Use the hist$()$ function to create a histogram for the variable $$Outstate$.$

$($g$)$ Create a scatterplot of the variable $$Apps$$ versus the variable $$Accept$.$ Comment on your findings.