Question: Consider the accompanying data file to estimate the logistic model for predicting college admission (Admit equals 1 if admitted, 0 otherwise). Predictor variables include the
Consider the accompanying data file to estimate the logistic model for predicting college admission (Admit equals 1 if admitted, 0 otherwise). Predictor variables include the applicant's grade point average (GPA) and scores on the SAT test. Use the holdout method, using the first 90 observations for training and the remaining 30 observations for validation, to calculate and interpret the accuracy, sensitivity, and specificity measures.
1. What percentage of the total cases in the validation set are correctly classified?
Note: Do not round intermediate calculations and round final answer to 2 decimal places.
2. What percentage of the target class cases (y = 1) in the validation set are correctly classified?
Note: Do not round intermediate calculations and round final answer to 2 decimal places.
3. What percentage of the nontarget class cases (y = 0) in the validation set are correctly classified?
Note: Do not round intermediate calculations and round final answer to 2 decimal places.
DATA:
| Admit | GPA | SAT |
| 0 | 3.1 | 1550 |
| 0 | 2.7 | 1360 |
| 0 | 2.6 | 1470 |
| 0 | 3.7 | 1450 |
| 0 | 3.1 | 1500 |
| 1 | 4 | 1440 |
| 1 | 3.4 | 1510 |
| 0 | 2.8 | 1120 |
| 1 | 4.2 | 1090 |
| 0 | 2.6 | 1300 |
| 0 | 3.2 | 1420 |
| 1 | 3.4 | 1270 |
| 0 | 4.3 | 1370 |
| 0 | 3.6 | 1400 |
| 0 | 3.1 | 1290 |
| 0 | 4.5 | 1330 |
| 0 | 4.2 | 1480 |
| 1 | 2.5 | 1520 |
| 1 | 2.6 | 1530 |
| 1 | 2.6 | 1510 |
| 0 | 3.4 | 1250 |
| 0 | 3.7 | 1120 |
| 0 | 3.3 | 1530 |
| 1 | 3.2 | 1590 |
| 0 | 3.5 | 1400 |
| 0 | 3.9 | 1280 |
| 1 | 4.3 | 1240 |
| 0 | 3.2 | 1220 |
| 0 | 2.5 | 1210 |
| 0 | 3.6 | 1580 |
| 0 | 4.4 | 1220 |
| 1 | 4.5 | 1460 |
| 1 | 2.6 | 1300 |
| 0 | 2.6 | 1180 |
| 0 | 2.6 | 1450 |
| 1 | 4.2 | 1460 |
| 1 | 3.5 | 1460 |
| 0 | 4.2 | 1060 |
| 0 | 3.2 | 1040 |
| 0 | 3.3 | 1500 |
| 0 | 2.8 | 1530 |
| 0 | 3.9 | 1310 |
| 0 | 3 | 1360 |
| 0 | 3 | 1270 |
| 0 | 3 | 1550 |
| 0 | 3.5 | 1080 |
| 1 | 3.4 | 1360 |
| 1 | 4.3 | 1330 |
| 1 | 3.2 | 1060 |
| 1 | 2.6 | 1430 |
| 0 | 3.1 | 1510 |
| 1 | 3 | 1070 |
| 0 | 4.2 | 1320 |
| 0 | 3.4 | 1280 |
| 0 | 3.2 | 1240 |
| 1 | 2.8 | 1480 |
| 1 | 3.3 | 1010 |
| 1 | 2.9 | 1150 |
| 0 | 4.3 | 1330 |
| 1 | 2.6 | 1470 |
| 0 | 4.3 | 1380 |
| 1 | 3.5 | 1440 |
| 1 | 4 | 1220 |
| 1 | 3.8 | 1220 |
| 1 | 2.8 | 1100 |
| 1 | 2.9 | 1130 |
| 1 | 2.7 | 1050 |
| 1 | 4.4 | 1010 |
| 0 | 4.2 | 1140 |
| 0 | 3.8 | 1010 |
| 1 | 4.5 | 1200 |
| 1 | 4.3 | 1380 |
| 1 | 4.2 | 1450 |
| 0 | 2.8 | 1180 |
| 0 | 4.4 | 1100 |
| 1 | 2.7 | 1340 |
| 1 | 4.2 | 1130 |
| 1 | 3.6 | 1520 |
| 0 | 3.2 | 1590 |
| 0 | 3.8 | 1330 |
| 0 | 2.6 | 1480 |
| 1 | 2.7 | 1240 |
| 1 | 3.5 | 1150 |
| 1 | 4.1 | 1200 |
| 0 | 4.1 | 1160 |
| 1 | 3.4 | 1000 |
| 1 | 2.9 | 1170 |
| 1 | 3.7 | 1030 |
| 1 | 2.8 | 1210 |
| 0 | 2.8 | 1070 |
| 1 | 3.3 | 1340 |
| 0 | 2.8 | 1290 |
| 0 | 3.2 | 1500 |
| 0 | 3.3 | 1040 |
| 0 | 3.8 | 1330 |
| 0 | 3 | 1350 |
| 1 | 3.6 | 1420 |
| 1 | 3.6 | 1010 |
| 1 | 4.2 | 1410 |
| 1 | 4.1 | 1050 |
| 0 | 4.4 | 1050 |
| 0 | 3.7 | 1570 |
| 1 | 3.8 | 1080 |
| 1 | 3 | 1070 |
| 1 | 2.8 | 1420 |
| 0 | 3.6 | 1460 |
| 1 | 4 | 1400 |
| 1 | 2.6 | 1560 |
| 0 | 2.9 | 1090 |
| 1 | 3.5 | 1050 |
| 1 | 4 | 1280 |
| 1 | 4.2 | 1240 |
| 1 | 3.6 | 1120 |
| 1 | 2.9 | 1560 |
| 1 | 3.3 | 1470 |
| 1 | 3.5 | 1440 |
| 0 | 3.9 | 1080 |
| 1 | 3.5 | 1310 |
| 1 | 3.3 | 1550 |
| 1 | 4.4 | 1320 |
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