For questions 1 thru 18 using the following information. The director of graduate admissions at a university is analyzing the relationship between math scores on the GRE (an entrance exam to graduate school) and subsequent performance in graduate school as measured by GPA. She uses a sample of 4 students who graduated last year. She will perform regression analysis on her sample. Student # Math GRE GPA 1 700 3.0 2 650 3.2 3 750 3.7 4 780 3.5 What is her dependent variable in the regression analysis? 0 Student # Q Math GRE @ Graduate School GPA Question 2 (1 point) Saved What is her independent variable in the regression analysis? 0 Student # (9 Math GRE 0 Graduate School GPA Question 3 (1 point) Saved Compute the value for b1. (Round to 3 decimals in this case) Your Answer: 0.004 Answer Question 4 (1 point) Saved Compute the value for b0. Your Answer: 0.632 Answer What is the predicted GPA for a student with a Math GRE score of 720? Your Answer: 3.35 Answer Question 6 (1 point) Saved What is the predicted GPA for a student with a Math GRE score of 0? Your Answer: 0.63 Answer Question 7 (1 point) Saved How would you interpret b1? .004 increase in GPA lead to a 1 point increase in Math GRE score 1 point increase in Math GRE score leads to a .004 increase in GPA 1 point increase in GPA score leads to a .004 increase in Math GRE Sco O.004 increase in Math GRE SCore lead to a 1 point increase in GPAWhat is the value for the coefficient of determination? Your Answer: Answer Question 9 (1 point) What is the value of the correlation coefficient? Your Answer: Answer Question 10 (1 point) Saved While she has all these estimates, not much matters unless we can make some conclusions about the statistical strength of the relationship between Math GRE and GPA. Use a 5% level of significance for the hypothesis test. What is the null hypothesis for the test? 5150 Question 11 (1 point) Saved What is the p-value for the hypothesis test on the regression coefficient for Math GRE? Your Answer: 0.3060 Answer Question 12 (1 point) Saved Do you reject or not reject the null hypothesis? 0 reject null @ do not reject null Question 13 (1 point) Saved What is the conclusion from the test? 0 Math GRE and GPA have a statistically significant relationship at the 5% level. @ Math GRE and GPA do not have a statistically significant relationship at the 5% level