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2. (5 points) A researcher wishes to find whether there is a relationship between a college stu- dent's grade point average (GPA) and their salary
2. (5 points) A researcher wishes to find whether there is a relationship between a college stu- dent's grade point average (GPA) and their salary ($). He selected a random sample of 10 college students and recorded their GPAs and their salaries (10 years after graduation) in the data set GPASalary. a) [1] Write down the fitted least squares regression equation to predict the salary from the GPA in the context of the problem. Student's name: Question 2 continues on the next page. . . Statistics STAT 106 Page 3 of 3 b) [1] Interpret the value of the coefficient of determination in the context of the problem. c) [3] Conduct a test to to determine whether there is a significant linear relationship between the two variables of the study? Explain your reason at a 5% significance level. (State the hypotheses, Decision, and Conclusion)A B GPA Salary 2 2.21 71000 3 2.28 49000 4 2.56 71000 5 2.58 63000 6 2.76 87000 2.85 97000 8 3.11 134000 9 3.35 130000 10 3.67 156000 1 3.69 161000 2 13
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