1. The university wanted to see if the amount of time students spend in the university library correlates with GPA. They collect the following data:

Person	Time Spent in Library, Hours/Week (X)	GPA (Y)
1	5	2.8
2	6	2.2
3	8	3.2
4	12	3.0
5	18	3.2
6	30	3.8
7	32	3.8

a. What are the degrees of freedom for a Pearson's Correlation?

b. What is the critical value for r?

c. What is the average for Time Spent in Library (X)

d. What is the average for GPA (Y)

e. Complete the following table for data above

Person	Deviation of X from Mx	Deviation of Y from My	Squared Deviation for X variable	Squared Deviation for Y variable	Sum of Products of Deviation (X - Mx)(Y - My)
1
2
3
4
5
6
7

f. What is the Pearson's correlation coefficient?

g. Do we reject or fail to reject the hypothesis?

h. What is the r²

I. What is the regression equation (not the formula, the actual equation used to predict new X's) for the data in #5?

J. Complete the following table using the regression equation

Person	Time Spent in Library, Hours/Week (X)	GPA (Y)		Errors	Squared Errors
1	5	2.8
2	6	2.2
3	8	3.2
4	12	3.0
5	18	3.2
6	30	3.8
7	32	3.8

(k) What is the Sum of Squared Errors for the regression (SS_errors)?

(L) What is the degrees of freedom for the regression?

(M) What is the S_error for the regression?

(N) What is t?

(o) What is the critical value for the t?

(p) Do you reject or fail to reject the null hypothesis for the regression?