Use the SAT data and create a multiple regression table but this time as input use ONLY two variables: High School GPA and SAT (do not include variable letters). Answer questions 1 to 4. Choose the best fitting answer.

1.If an incoming student has High School GPA = 2 SAT = 1500 What should be his predicted College GPA

a. 2.43

b. 2.55

c. 2.63

d. 2.59

2. What is the approximation error?

a. 0.39

b. 0.63

c. 0.38

d. 0.58

3. If this student increases his High School GPA by 1 point how much higher would his predicted College GPA?

a. 0.58

b. 0.38

c. 0.40

d. 0.37

4. If two students have the identical High School GPAs but one has an SAT score 100 points higher than the other, how much higher will his College GPA be?

a. It will be the same

b. 0.0012

c. 0.12

d. 0.02

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