Do students with higher college grade point averages (GPAs) earn more than those graduates with lower GPAs? Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary ($) 2.22 72,000 2.29 48,000 2.57 72,000 2.59 62,000 2.77 86,000 2.85 98,000 3.12 133,000 1.35 130,000 3.66 157,000 3.68 162,000 (a) Develop a scatter diagram for these data with college GPA as the independent variable. 180 000 180 000 180 000 160 000 160 000 160 000 140 000 140 000 140 000 120 000 120 000 120 000 100 000 100 000 100 000 Salary ($) Salary ($) 80 000 Salary ( 80 000 80 000 60 000 60 000 60 000 40 000 40 000 40 000 20 000 20 000 20 000 OL OL OL 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 O GPA GPA GPA 180 000 160 000 140 000 120 000 100 000 Salary ($) 80 000 60 000 40 000 20 000 2.0 2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0What does the scatter diagram indicate about the relationship between the two variables? The scatter diagram indicates a nonlinear relationship between GPA and salary. The scatter diagram indicates no apparent relationship between GPA and salary. The scatter diagram indicates a positive linear relationship between GPA and salary. O The scatter diagram indicates a negative linear relationship between GPA and salary. (b) Use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college GPA. (Let x = GPA, and let y = salary (in $). Round your numerical values to the nearest integer.) y = (c) At the 0.05 level of significance, does there appear to be a significant statistical relationship between the two variables? (Use the F test.) State the null and alternative hypotheses. Ho H - Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. ---Select-- |Ho. There ---Select--- | a significant statistical relationship between GPA and salary