CORRELATION AND REGRESSION
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RSCH 665 - Assignment 3.2
Correlation and Regression
A survey was conducted that asked participants to report their SAT scores and high school GPA. The following are the results:
|
SAT Score |
GPA |
|
1110 |
3.1 |
|
1350 |
3.7 |
|
1300 |
3.8 |
|
1140 |
2.8 |
|
960 |
2.9 |
|
1400 |
3.8 |
|
1440 |
4.1 |
|
1450 |
4.3 |
|
1260 |
3.5 |
|
1370 |
3.8 |
|
1410 |
4.0 |
|
1550 |
4.4 |
|
1520 |
4.3 |
|
1110 |
2.9 |
|
1230 |
3.0 |
|
1360 |
3.6 |
|
1380 |
3.9 |
|
1060 |
3.0 |
|
1320 |
3.6 |
|
1290 |
3.6 |
|
1080 |
3.2 |
|
960 |
2.7 |
|
1160 |
2.8 |
|
1240 |
3.0 |
|
1400 |
4.2 |
|
1460 |
4.2 |
|
1500 |
4.3 |
|
1520 |
4.3 |
|
1550 |
4.4 |
|
1300 |
3.8 |
|
1140 |
3.2 |
|
1230 |
2.9 |
|
1330 |
3.4 |
|
1280 |
3.6 |
|
1300 |
3.6 |
|
1200 |
3.5 |
|
1080 |
2.7 |
|
1260 |
3.4 |
1. Calculate the Correlation Coefficient and write one paragraph that describes the relationship between SAT scores and GPA for this sample.
2. Calculate the expected SAT scores for the following GPAs: 2.6, 3.4, 4.2
3. Calculate the expected GPA for the following SAT scores: 1160, 1290, 1440