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:

DATA: https://www.limes.one/Content/DataFiles/SAT.txt

5. What is the predicted College GPA for the student with High School GPA = 2.79, SAT = 900, and Letters = 8?

a. 1.96

b. 2.32

c. 2.14

d. 2.23

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

a. 0.587; [1.64, 2.82]

b. 0.587; [1.56, 2.73]

c. 0.587; [1.74, 2.91]

d. 0.587; [1.37, 2.55]

7. What is the number, -0.08813, and what is its interpretation?

a. X-intercept: It shows how much college GPA decreases when high school GPA and SAT are equal zero.

b. Y-intercept: The number in this case offers no statistical interpretation.

c. X-intercept: For every 10 points dropped on the SAT a student's college GPA decreases by 0.8813.

d. None of the above.

8. If student A's High School GPA is 0.65 point higher than student B's, and on the other hand, student B's SAT score is higher than student A by 200 points, which of the two students will have higher predicted College GPA and by how much?

a. Student B by 0.05 points

b. Student B by 0.01 points

c. Student A by 0.02 points

d. Student A by 0.03 points