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# Use the SAT data and via Multiple regression select the two variables that predict College GPA the best. Make another table with these two variables and answer the questions based on this table. Numer

Use the __SAT__ data and via Multiple regression select the two variables that predict College GPA the best. Make another table with these two variables and answer the questions based on this table. Numerical answers are rounded so choose the answer that matches the best:

5. What is the predicted College GPA for the student with High School GPA = 4, SAT = 1000, and Letters = 10?

- a. 2.76
- b. 1.96
- c. 2.85
- d. 3.20

6. What is the standard error of this prediction? Give the interval prediction.

- a. 0.587; [2.17, 3.34]
- b. 0.587; [1.38, 2.55]
- c. 0.587; [2.26, 3.43]
- d. 0.587; [2.61, 3.79]

7. What is the coefficient of SAT and what is the interpretation?

- a. 0.000107: It is a good P-value of SAT.
- b. 0.000301: The predicted error of SAT score.
- c. 0.000619: For an additional 100 points scored on the SAT a student’s college GPA increases by 0.0619.
- d. 0.001217: For an additional 100 points scored on the SAT, a student’s college GPA increases by 0.1217.

8. If student A’s High School GPA is 0.75 point higher than student B’s, and on the other hand, student B’s SAT score is higher than student A by 300 points, which of the two students will have higher predicted College GPA and by how much?

- a. Student B by 0.18 points
- b. Student B by 0.06 points
- c. Student A by 0.4 points
- d. Student A by 0.27 points