Use theSATdata 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 = 3.2, SAT = 1100, and Letters = 9?

• a. 2.76
• b. 2.40
• c. 2.64
• d. 2.55

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

• a. 0.587; [2.07, 3.45]
• b. 0.587; [1.81, 2.99]
• c. 0.587; [2.05, 3.23]
• d. 0.587; [1.97, 3.14]

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

• a. 0.000619: It is a good P-value of SAT.
• b. 0.000301: The predicted error of SAT score.
• c. 0.001217: For an additional 50 points scored on the SAT a student's college GPA increases by 0.0608.
• d. 0.001227: For an additional 100 points scored on the SAT, a student's college GPA increases by 0.1227.

8. If student A's High School GPA is 0.35 point lower than student B's, and on the other hand, student B's SAT score is lower than student A by 150 points, which of the two students will have higher predicted College GPA and by how much?

• a. Student B by 0.02 points
• b. Student B by 0.04 points
• c. Student A by 0.04 points
• d. Student A by 0.12 points

SAT.txt document content, please copy and paste into a text document

C ollege GPA HighSchl GPA SAT Letters 2.04 2.01 1070 5 2.56 3.4 1254 6 3.75 3.68 1466 6 1.1 1.54 706 4 3 3.32 1160 5 0.05 0.33 756 3 1.38 0.36 1058 2 1.5 1.97 1008 7 1.38 2.03 1104 4 4.01 2.05 1200 7 1.5 2.13 896 7 1.29 1.34 848 3 1.9 1.51 958 5 3.11 3.12 1246 6 1.92 2.14 1106 4 0.81 2.6 790 5 1.01 1.9 954 4 3.66 3.06 1500 6 2 1.6 1046 5 2.05 1.96 1054 4 2.6 1.96 1198 6 2.55 1.56 940 3 0.38 1.6 456 6 2.48 1.92 1150 7 2.74 3.09 636 6 1.77 0.78 744 5 1.61 2.12 644 5 0.99 1.85 842 3 1.62 1.78 852 5 2.03 1.03 1170 3 3.5 3.44 1034 10 3.18 2.42 1202 5 2.39 1.74 1018 5 1.48 1.89 1180 5 1.54 1.43 952 3 1.57 1.64 1038 4 2.46 2.69 1090 6 2.42 1.79 694 5 2.11 2.72 1096 6 2.04 2.15 1114 5 1.68 2.22 1256 6 1.64 1.55 1208 5 2.41 2.34 820 6 2.1 2.92 1222 4 1.4 2.1 1120 5 2.03 1.64 886 4 1.99 2.83 1126 7 2.24 1.76 1158 4 0.45 1.81 676 6 2.31 2.68 1214 7 2.41 2.55 1136 6 2.56 2.7 1264 6 2.5 1.66 1116 3 2.92 2.23 1292 4 2.35 2.01 604 5 2.82 1.24 854 6 1.8 1.95 814 6 1.29 1.73 778 3 1.68 1.08 800 2 3.44 3.46 1424 7 1.9 3.01 950 6 2.06 0.54 1056 3 3.3 3.2 956 8 1.8 1.5 1352 5 2 1.71 852 5 1.68 1.99 1168 5 1.94 2.76 970 6 0.97 1.56 776 4 1.12 1.78 854 6 1.31 1.32 1232 5 1.68 0.87 1140 6 3.09 1.75 1084 4 1.87 1.41 954 2 2 2.77 1000 4 2.39 1.78 1084 4 1.5 1.34 1058 4 1.82 1.52 816 5 1.8 2.97 1146 7 2.01 1.75 1000 6 1.88 1.64 856 4 1.64 1.8 798 4 2.42 3.37 1324 6 0.22 1.15 704 6 2.31 1.72 1222 5 0.95 2.27 948 6 1.99 2.85 1182 8 1.86 2.21 1000 6 1.79 1.94 910 6 3.02 4.25 1374 9 1.85 1.83 1014 6 1.98 2.75 1420 7 2.15 1.71 400 6 1.46 2.2 998 7 2.29 2.13 776 6 2.39 2.38 1134 7 1.8 1.64 772 4 2.64 1.87 1304 6 2.08 2.53 1212 4 0.7 1.78 818 6 0.89 1.2 864 2