Q1. Use the below R command to randomly sample 15 data points from beaver1$temp and assign them to a vector, temp.(60 points - 6 points for each sub-question)

temp <- sample(beaver1$temp, 15)

A.Display the vector, temp. Since values in tempis randomly sampled, it is necessary that you report the data values in tempso that we can evaluate your answers for the downstream questions.

B.Compute the mean and median of temp. Convert the data in tempinto integers and save them into a vector, temp_int. Compute the mode of temp_int.

C.Compute the variance and the standard deviation of temp.

D.Compute the five number summary, the interquartile range, and outliers, if any in temp.

E.Compute the standardized version (z-scores) of temp.

F.Identify values that are less than the first quartile of the data.

G.Using indexing, show the expression for accessing the first item and the last one of temp. The code should work for a vector of any size (in another word, no hard coding).

H.Create a matrix of size 3 x 5 using the data in temp. The first five values belong to the first row of the matrix. Assign the result to the variable, temp.matrix, and display the result.

I.Show the code for displaying the first and the last columns of the matrix. The code should work for matrices of any size (in another word, no hard coding).

J.Assign row names for the temp.matrixas Row1, Row2, and Row3. Assign column names as Day1, Day2, .... The code should work for matrices of any size.

Q2. Using function data() to load R data set airquality. (40 points - 8 points for each sub-question)

A.How many variables are there? How many observations are there?

B.Are there missing values in the data set? If so, clean up the data by removing those observations with missing values and save the cleaned data set. Report the number of observations in the cleaned data set.

C.Show the mean, median, mode, 1st and 3rd quantiles of variables Tempand Wind in the cleaned data set.

D.In the cleaned data set, how many days the Tempis greater than 80 and how many days the Windis less than 6?

E.The numbers in column Temp represent temperature in Fahrenheit. Modify the cleaned data set by adding a new column, TempC, showing temperature in Celsius. Display the new resulting data frame. The equation to convert Fahrenheit to Celsius: T(C) = (T(F) - 32) 5/9