Do students with higher college grade point averages (GPAs) earn more than those graduates with lower GPAs'H Consider the following hypothetical college GPA and salary data (10 years after graduation). m- 133,000 130,000 157,000 162,000 (a) Develop a scatter diagram for these data with college GPA as the independent variable. 130000 180000 100000 160000 140000 140000 g 120000 g 120000 E' 100000 3' 100000 a 30000 a 30000 3 00000 :2 00000 40000 40000 20000 20000 0 o 2.0 2.2 2.4 2.0 2.8 3.0 3.2 3.4 3.0 3.3 4.0 2.0 2.2 2.4 2.0 2.0 3.0 3.2 3.4 3.0 3.0 4.0 O GPA G) O GPA (2) 130000 180000 160000 ' 100000 140000 - -' 140000 E 120000 '_ 5 120000 F: 100000 E? 100000 a 00000 . - a 80000 3 00000 ' 0 00000 40000 40000 20000 20000 2.0 2.2 2.4 2.0 2.3 3.0 3.2 3.4 3.0 3.3 4.0 (2,0 2.2 2.4 2.0 2.0 3.0 3.2 3.4 3.0 3.0 4.0 O GPA (D O GPA (D What does the scatter diagram indicate about the relationship between the two variables? 0 The scatter diagram indicates a negative linear relationship between GPA and salary. O The scatter diagram indicates no apparent relationship between GPA and salary. O The scatter diagram indicates a positive linear relationship between GPA and salary. O The scatter diagram indicates a nonlinear 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 s). Round your numerical values to the nearest integer.) ,. (c) At the 0.05 level of significance, does there appear to be a signicant statistical relationship between the two variables? (Use the F test.) State the null and alternative hypotheses. OHD:BD=0 Ha:,60*0