Question: A college is trying to use data from a student's high school experience to predict their success in college. The college collected the GPA's of

A college is trying to use data from a student's high school experience to predict their success in college. The college collected the GPA's of 20 college students after their first year of college. Then they went back and collected the students high school GPA and high school Math SAT score. The college would like to decide which is a better predictor of a student's success in college -High School GPA orHigh School SAT Math score. The data for each student is below.

College GPA

High School GPA

High School Math SAT

Score

2.98

3.59

2.26

2.43

2.14

3.77

3.26

3.18

2.8

3.2

3.02

2.84

2.66

3.46

2.52

2.01

2.79

3.01

3.31

3.17

2.9

3.58

2.18

2.44

2.69

3.61

3.4

3.05

3.37

3.41

2.95

3.3

3.47

2.47

1.89

2.41

2.62

3.54

3.1

497

521

498

474

398

625

481

490

626

594

508

466

425

523

453

388

294

319

549

542

1.Copy and Paste your data into stat crunch. Label each column.

2.Run a regression test for theHigh School GPA (x) andCollege GPA (y). Go to statregressionsimple linear. Select x and y and "compute".

3.Record the r-value (correlation coefficient).

4.Click the arrow at the bottom of your test to see the scatter plot. Copy a paste a screen shot of your scatter plot.

5.Repeat Steps 2-4 but usingHigh School Math SAT score(x) andCollege GPA(y).

6.Compare the r-value forHigh School GPA (x) andCollege GPA (y) to the r-value forHigh School Math SAT score(x) andCollege GPA. Which appears to be more strongly correlated theHigh School GPA (x) andCollege GPA or High School Math SAT score(x) andCollege GPA? Explain how you can tell using the r-values.

7.Based on your observation in number 6, which would be a better predictor of College Success? Should the college use High School GPA or High School Math SAT score?

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