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Develop a regression for predicting college GPA of students using the dataset in t a. Interpret the significance of the model. b. Identify the significant
Develop a regression for predicting college GPA of students using the dataset in t a. Interpret the significance of the model. b. Identify the significant variables in predicting college GPA. c. "Math & Science" college students have higher GPA compared to "Business & Economics" students. Test this hypothesis with 95% confidence level. d. Calculate the adjusted R2 , is it different from the R2 ?
| Edu_Parent1 | Edu_Parent2 | Gender | HSGPA | SAT/ACT | College | College_GPA |
| 6 | 6 | F | 4.26 | 1430 | Math & Science | 3.956 |
| 7 | 6 | M | 3.95 | 1340 | Math & Science | 3.361 |
| 3 | 6 | M | 4.33 | 1200 | Business & Economics | 3.433 |
| 7 | 7 | F | 4.27 | 1530 | Business & Economics | 3.890 |
| 6 | 7 | F | 4.04 | 1270 | Math & Science | 3.025 |
| 7 | 7 | F | 3.56 | 1280 | Business & Economics | 2.564 |
| 7 | 6 | M | 4.15 | 1390 | Math & Science | 3.825 |
| 4 | 4 | M | 4.00 | 1330 | Business & Economics | 3.525 |
| 7 | 6 | F | 4.09 | 1150 | Math & Science | 3.595 |
| 7 | 7 | F | 3.36 | 1130 | Arts & Letters | 3.058 |
| 7 | 6 | M | 3.75 | 1240 | Business & Economics | 3.344 |
| 6 | 7 | F | 3.82 | 1270 | Math & Science | 3.106 |
| 6 | 6 | M | 4.32 | 1500 | Math & Science | 3.426 |
| 7 | 7 | F | 4.20 | 1230 | Arts & Letters | 3.116 |
| 7 | 6 | F | 3.92 | 1320 | Math & Science | 3.396 |
| 6 | 6 | F | 3.83 | 1240 | Arts & Letters | 3.926 |
| 7 | 7 | M | 3.95 | 1300 | Arts & Letters | 3.277 |
| 7 | 4 | F | 3.89 | 1250 | Math & Science | 3.357 |
| 6 | 7 | F | 3.87 | 1170 | Arts & Letters | 2.733 |
| 7 | 6 | M | 3.82 | 1440 | Math & Science | 1.847 |
| 7 | 7 | M | 3.96 | 1120 | Math & Science | 3.471 |
| 7 | 7 | F | 4.21 | 1360 | Math & Science | 3.123 |
| 7 | 7 | F | 3.59 | 950 | Arts & Letters | 2.255 |
| 6 | 7 | M | 4.00 | 1340 | Math & Science | 3.372 |
| 6 | 6 | F | 3.40 | 1000 | Business & Economics | 2.919 |
| 7 | 6 | F | 4.27 | 1140 | Arts & Letters | 3.386 |
| 7 | 7 | F | 4.00 | 1210 | Business & Economics | 3.079 |
| 6 | 6 | M | 4.00 | 1250 | Business & Economics | 3.296 |
| 3 | 3 | F | 3.61 | 1050 | Business & Economics | 2.880 |
| 4 | 3 | M | 4.33 | 1320 | Math & Science | 3.935 |
| 6 | 6 | M | 3.74 | 1260 | Business & Economics | 2.810 |
| 5 | 3 | M | 4.25 | 1310 | Math & Science | 2.498 |
| 7 | 7 | M | 4.04 | 1140 | Business & Economics | 2.932 |
| 7 | 6 | F | 3.80 | 1210 | Arts & Letters | 3.128 |
| 4 | 6 | F | 4.20 | 1140 | Business & Economics | 3.641 |
| 4 | 4 | F | 3.95 | 1340 | Arts & Letters | 3.580 |
| 6 | 6 | F | 3.72 | 1210 | Math & Science | 2.287 |
| 7 | 4 | F | 3.58 | 1200 | Arts & Letters | 3.080 |
| 6 | 6 | M | 3.45 | 1320 | Math & Science | 2.270 |
| 7 | 6 | F | 4.17 | 1360 | Business & Economics | 2.986 |
| 6 | 7 | F | 3.70 | 1150 | Business & Economics | 2.947 |
| 6 | 6 | F | 4.05 | 1230 | Math & Science | 3.602 |
| 6 | 6 | F | 4.00 | 1210 | Business & Economics | 3.176 |
| 7 | 6 | F | 4.33 | 1430 | Business & Economics | 3.472 |
| 6 | 6 | F | 3.04 | 1170 | Math & Science | 2.880 |
| 7 | 6 | F | 3.86 | 1330 | Business & Economics | 3.599 |
| 3 | 5 | M | 3.77 | 1170 | Business & Economics | 2.671 |
| 6 | 6 | F | 3.88 | 1310 | Business & Economics | 3.468 |
| 7 | 7 | F | 3.96 | 1240 | Business & Economics | 2.988 |
| 6 | 6 | M | 3.55 | 1230 | Business & Economics | 2.859 |
| 7 | 7 | M | 3.32 | 1230 | Business & Economics | 2.580 |
| 3 | 6 | F | 3.75 | 1370 | Business & Economics | 3.467 |
| 7 | 7 | F | 4.25 | 1300 | Business & Economics | 3.710 |
| 6 | 6 | F | 4.18 | 1290 | Business & Economics | 3.039 |
| 5 | 6 | M | 4.25 | 1350 | Math & Science | 3.159 |
| 1 | 1 | M | 3.73 | 1160 | Math & Science | 3.133 |
| 6 | 6 | M | 3.86 | 1250 | Arts & Letters | 3.503 |
| 2 | 2 | F | 3.68 | 1030 | Math & Science | 2.479 |
| 6 | 6 | F | 3.92 | 1160 | Arts & Letters | 2.997 |
| 3 | 3 | F | 3.54 | 1020 | Arts & Letters | 3.395 |
| 7 | 6 | M | 3.94 | 1260 | Business & Economics | 3.100 |
| 5 | 4 | F | 3.85 | 1170 | Arts & Letters | 3.397 |
| 6 | 6 | F | 3.90 | 1300 | Math & Science | 3.205 |
| 6 | 3 | M | 3.80 | 1320 | Math & Science | 3.090 |
| 4 | 5 | F | 3.84 | 1390 | Arts & Letters | 3.338 |
| 3 | 5 | F | 3.91 | 1230 | Math & Science | 2.918 |
| 7 | 7 | F | 4.25 | 1400 | Math & Science | 3.639 |
| 3 | 3 | F | 3.64 | 1290 | Math & Science | 3.431 |
| 7 | 6 | F | 3.95 | 1230 | Business & Economics | 3.465 |
| 6 | 6 | F | 3.95 | 1170 | Business & Economics | 2.496 |
| 3 | 3 | F | 4.11 | 1280 | Business & Economics | 3.500 |
| 6 | 4 | M | 4.23 | 1260 | Arts & Letters | 3.351 |
| 7 | 6 | F | 4.05 | 1320 | Arts & Letters | 3.131 |
| 4 | 6 | F | 4.09 | 1130 | Arts & Letters | 3.699 |
| 6 | 7 | M | 4.20 | 1430 | Math & Science | 3.631 |
| 7 | 7 | F | 4.27 | 1260 | Arts & Letters | 4.000 |
| 7 | 6 | M | 3.25 | 1120 | Math & Science | 2.830 |
| 7 | 6 | F | 3.90 | 1290 | Math & Science | 2.953 |
| 6 | 4 | F | 3.78 | 1260 | Math & Science | 3.678 |
| 7 | 7 | F | 4.05 | 1310 | Arts & Letters | 3.878 |
| 3 | 6 | F | 3.88 | 1140 | Arts & Letters | 3.374 |
| 7 | 7 | M | 3.32 | 1220 | Math & Science | 2.992 |
| 4 | 7 | M | 3.67 | 1190 | Arts & Letters | 3.288 |
| 3 | 6 | F | 3.59 | 1180 | Arts & Letters | 2.854 |
| 3 | 7 | F | 3.86 | 1110 | Math & Science | 0.757 |
| 4 | 6 | F | 4.33 | 1540 | Math & Science | 3.245 |
| 4 | 6 | M | 4.30 | 1280 | Math & Science | 3.182 |
| 4 | 4 | M | 4.00 | 1260 | Math & Science | 2.926 |
| 6 | 6 | F | 3.75 | 1190 | Business & Economics | 2.691 |
| 6 | 1 | M | 3.71 | 930 | Business & Economics | 3.024 |
| 7 | 6 | M | 3.79 | 1370 | Business & Economics | 3.376 |
| 4 | 5 | F | 4.14 | 1250 | Business & Economics | 3.474 |
| 6 | 4 | F | 3.73 | 1420 | Math & Science | 3.813 |
| 6 | 6 | F | 3.95 | 1370 | Arts & Letters | 3.680 |
| 7 | 6 | F | 3.85 | 1280 | Business & Economics | 2.094 |
| 7 | 5 | F | 4.17 | 1190 | Arts & Letters | 3.788 |
| 6 | 4 | F | 3.62 | 1180 | Math & Science | 3.230 |
| 4 | 7 | F | 3.91 | 1190 | Arts & Letters | 2.686 |
| 6 | 4 | F | 4.35 | 1210 | Math & Science | 3.830 |
| 5 | 6 | F | 3.95 | 1110 | Arts & Letters | 3.036 |
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College Algebra Concepts Through Functions
Authors: Michael Sullivan, Michael Sullivan III
3rd Edition
0321925890, 9780321925893
