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Statistics · Studypool

Correlation and Regression

Overview

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

1020

2.8

960

2.4

1400

3.8

1440

4.1

1460

4.3

1260

3.5

1370

3.8

1410

4

1550

4.1

1520

4.3

1110

2.9

1130

3

1360

3.6

1380

3.9

1420

3

1320

3.6

1470

3.6

1080

3.2

920

1.9

1160

2.8

1240

3

1390

4.5

1460

4.2

1525

4.3

1520

4.3

1330

4.4

1300

3.8

1140

3.8

1230

3.1

1330

3.4

1280

3.6

1300

3.6

1200

2.5

880

2.7

1260

3.4

  • Calculate the Correlation Coefficient and write one paragraph that describes the relationship between SAT scores and GPA for this sample.
  • Calculate the expected SAT scores for the following GPAs: 2.3, 3.7, 4.5
  • Calculate the expected GPA for the following SAT scores: 1060, 1310, 1520