Can someone help on this?

A statistics professor gave three quizzes leading up to the first test in his
class. The quiz grades and test grade for each of eight students are given
in the table.

Student Test_Grade Quiz1 Quiz2 Quiz3
1 75 8 9 5
2 89 10 7 6
3 73 9 8 7
4 91 8 7 10
5 64 9 6 6
6 78 8 7 6
7 83 10 8 7
8 71 9 4 6

The professor fit a first-order model to the data that he intends to use to predict
a studentís grade on the first test using that studentís grades on the first three
quizzes.

a. Identify the dependent and independent variables for the model.
Dependent Variable = Test_Grade
Independent Variable = Quiz1, Quiz2, Quiz3

b. What is the least squares prediction equation?

c. Find the SSE and the estimator of σ2 for the model.
SSE = 38
σ2 = s2 = SSE/(n - (k = 1)) = 38/(24 - (3 + 1) = 1.9

d. Test the null hypothesis H0: β1 = β2 = β3 = 0 against the alternative
hypothesis Ha: at least one βi ≠ 0. Use α = .05. Interpret the result.