A researcher was interested in how students’ Graduate RecordExaminations scores (GREQ- Quantitative and GREV-Verbal) predictcollege students’ graduate school Grade Point Average (GGPA). Hecollects data from 30 college students. The GRE Quantitative (X1)and GRE Verbal (X2) scores can range from 400-1600 (Note. This isthe old GRE score scale). GGPA (Y) can range from 0.00 to 4.00.
| GREQ | GREV | GGPA |
| 625 | 540 | 2.16 |
| 575 | 680 | 3.60 |
| 520 | 480 | 2.00 |
| 545 | 520 | 2.48 |
| 520 | 490 | 2.88 |
| 655 | 535 | 3.44 |
| 630 | 720 | 3.68 |
| 500 | 500 | 2.40 |
| 605 | 575 | 3.76 |
| 555 | 690 | 2.72 |
| 505 | 545 | 2.96 |
| 540 | 515 | 2.08 |
| 520 | 520 | 2.48 |
| 585 | 710 | 2.16 |
| 600 | 610 | 4.00 |
| 625 | 540 | 2.16 |
| 575 | 680 | 3.60 |
| 520 | 480 | 2.00 |
| 545 | 520 | 2.48 |
| 520 | 490 | 2.88 |
| 655 | 535 | 3.44 |
| 630 | 720 | 3.68 |
| 500 | 500 | 2.40 |
| 605 | 575 | 3.76 |
| 555 | 690 | 2.72 |
| 505 | 545 | 2.96 |
| 540 | 515 | 2.08 |
| 520 | 520 | 2.48 |
| 585 | 710 | 2.16 |
| 600 | 610 | 4.00 |
If someone were to increase their GRE-Quantitative score by 50points, how much would you expect his or her GPA to change, aftercontrolling for the GRE-Verbal variability? Show how you calculatedyour answer. (8 p)
In your own words explain why you think that the model did notexplain all of the variability in GGPA. In other words, what otherfactors might play a role in increasing the amount of variabilityexplained in GGPA. (8 p)
Which of the two independent variables contributes more weightto the regression equation? In other words, which independentvariable contributes more to the explanation of the dependentvariable variability? Justify why you believe your answer iscorrect. (6 p)
Report and interpret the Pearson Correlation coefficientsbetween GGPA & GREQ, GGPA & GREV, and GREQ & GREV. (12p)
