**Correlation and Regression Questions** Please answer the three questions in the document and show work.

SAT Score

1110

1350

1300

1140

960

1400

1440

1450

1260

1370

1410

1550

1520

1110

1230

1360

1380

1060

1320

1290

1080

960

1160

1240

1400

1460

1500

1520

1550

1300

1140

1230

1330

1280

1300

1200

1080

1260

GPA

3.1

3.7

3.8

2.8

2.9

3.8

4.1

4.3

3.5

3.8

4.0

4.4

4.3

2.9

3.0

3.6

3.9

3.0

3.6

3.6

3.2

2.7

2.8

3.0

4.2

4.2

4.3

4.3

4.4

3.8

3.2

2.9

3.4

3.6

3.6

3.5

2.7

3.4

A survey was conducted that asked participants to report their SAT scores and high school C +A. The following are the results: SAT Score 1110 GPA 3.1 1350 1300 3.7 1140 3.8 2.8 960 1400 2.9 1440 3.8 4.1 1450 1260 4.3 1370 3.5 3.8 1410 4.0 1550 1520 4.4 110 4.3 1230 2.9 1360 3.0 3.6 1380 3.9 1060 3.0 1320 1290 3.6 3.6 1080 960 3.2 1160 2.7 1240 2.8 3.0 1400 1460 4.2 1500 4.2 4.3 1520 1550 4.3 1300 4.4 3.8 1 140 1230 3.2 133 2.9 3.4 1280 1300 3.6 1200 3.6 1080 3.5 2.7 1260 1. 3.4 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