A Statistics Professor Gave Three Quizzes Leading Up to the First

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. $\begin{array}{ccccc}\hline \text { Student }&\text {Test Grade }&\text {Quiz } 1 &\text { Quiz } 2& \text { Quiz } 3\\ \hline 1 & 75 & 8 & 9 & 5 \\2 & 89 & 10 & 7 & 6 \\3 & 73 & 9 & 8 & 7 \\4 & 91 & 8 & 7 & 10 \\5 & 64 & 9 & 6 & 6 \\6 & 78 & 8 & 7 & 6 \\7 & 83 & 10 & 8 & 7 \\8 & 71 & 9 & 4 & 6\\\hline \end{array}$
The professor would like to use the data to find a first-order model that he might use to predict a student's grade on the first test using that student's grades on the first three quizzes. a. Identify the dependent and independent variables for the model. b. What is the least squares prediction equation? c. Find the SSE and the estimator of σ2 for the model. 2 Find and Interpret Sample Estimates for β Parameters