Question 1: Using the SATGPA data set (Stat2Data package in R): Test by using = .05.

1) Create the following three variables and then print out all the six variables.

a. Create a new variable SAT, which is the sum of MathSAT and VerbalSAT.

b. Create second new variable SATLevel, and assign the value of SATLevel as 1 when SAT<=1100, 2 when 11001300

c. Create third new variable GPALevel and assign the value of GPALevel as 1 when GPA<=2.8, 2 when 2.83.5

d. Print out all the data in the descending order of their GPALevel and the descending order of their SAT when GPALevel is the same.

2) Use the Chi-Square test to conclude if the SATLevel and GPALevel are independent.

3) Compute the mean and variance of GPA for each level of GPALevel, and compute the correlation matrices for the four variables: MathSAT, VerbalSAT, GPA and SAT

4) Do the data provide sufficient evidence to indicate that the mean of MathSAT is significantly greater than the mean of VerbalSAT.

5) Test if the proportion of MathSAT greater than VerbalSAT is 0.65

6) Regress the MathSAT on the VerbalSAT. Report the estimated coefficients.

7) Compute the correlation of MathSAT and VerbalSAT, and test if their correlation is zero.

PLEASE SUBMIT THE R CODE SCRIPT FOR THE WHOLE QUESTION

SATGPA data set is in Stat2Data package in R