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 3.61 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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