The director of admissions of a small college selected 120 students at random from the new freshman

Question:

The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student's grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test scores(X). The results of the study are provided on pastebin.com/dXgT8Cnd
Assume a simple linear regression model is appropriate.
a. Obtain the least squares estimates of β0, and β1, and state the estimated regression equation.
b. Obtain a point estimate of the mean freshman GPA for students with ACT test scores X = 30.
c. What is the point estimate of the change in the mean response when the entrance test score increases by one point?
d. Obtain the residuals Do they sum to zero?
e. Estimate σ2.
f. Obtain a 99% confidence interval for β1 and interpreted the interval.
g. Test whether or not a linear association exists between student's ACT score and GPA at the end of the freshman year by stating the hypotheses, test statistic, rejection region(s), and conclusion Use a level of significance of α = 0.01.