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Columns A and B of the Data Set contains n=120 students selected at random from a new freshmen class at a small college. The context

  1. Columns A and B of the Data Set contains n=120 students selected at random from a new freshmen class at a small college. The context of this study is to determine whether or not a student's grade point average at the end of the freshman year (Y is GPA) can be predicted from the ACT Score (X=ACTScore):
    • Using Minitab, state the equation of this regression function.
    • Interpret the slope (b1) in this problem.
    • Interpret the intercept. Does the intercept provide any useful information? If so, what does it mean?
  2. Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seems to increase with the temperature. Columns D and E of the Week 1 Homework Data Set list the temperature (in degrees Fahrenheit) and the number of chirps per second for the striped ground cricket.This data set describes the relationship between Temperature in degrees Fahrenheit (independent variable) and number of cricket chirps per seconds (dependent variable)
  • Create a scatter diagram using temperature as the independent variable and chirps per seconds as the dependent variable. Compute the correlation coefficient between temperature and "chirps".
  • Change temperature to degrees Celsius [C = 5/9 (F -32)]. Recalculate the correlation coefficient between temp (degrees C) and "chirps".
  • Create a linear regression model using temp C as the independent variable and chirps per seconds as the dependent variable. State the equation of the regression line.
  • Interpret the slope.
  • Examine the residual vs. fit plot and decide if this relationship is linear.
  • What percent of the variation in chirps is explained by Temp C?
  • Predict chirps for a 30 degrees C.

GPA

ACTScore

tempF

chirps

3.897

21

88.6

20

3.885

14

93.3

19.8

3.778

28

80.6

17.1

2.54

22

69.7

14.7

3.028

21

69.4

15.4

3.865

31

79.6

15

2.962

32

80.6

16

3.961

27

76.3

14.4

0.5

29

71.6

16

3.178

26

84.3

18.4

3.31

24

75.2

15.5

3.538

30

82

17.1

3.083

24

83.3

16.2

3.013

24

82.6

17.2

3.245

33

83.5

17

2.963

27

3.522

25

3.013

31

2.947

25

2.118

20

2.563

24

3.357

21

3.731

28

3.925

27

3.556

28

3.101

26

2.42

28

2.579

22

3.871

26

3.06

21

3.927

25

2.375

16

2.929

28

3.375

26

2.857

22

3.072

24

3.381

21

3.29

30

3.549

27

3.646

26

2.978

26

2.654

30

2.54

24

2.25

26

2.069

29

2.617

24

2.183

31

2

15

2.952

19

3.806

18

2.871

27

3.352

16

3.305

27

2.952

26

3.547

24

3.691

30

3.16

21

2.194

20

3.323

30

3.936

29

2.922

25

2.716

23

3.37

25

3.606

23

2.642

30

2.452

21

2.655

24

3.714

32

1.806

18

3.516

23

3.039

20

2.966

23

2.482

18

2.7

18

3.92

29

2.834

20

3.222

23

3.084

26

4

28

3.511

34

3.323

20

3.072

20

2.079

26

3.875

32

3.208

25

2.92

27

3.345

27

3.956

29

3.808

19

2.506

21

3.886

24

2.183

27

3.429

25

3.024

18

3.75

29

3.833

24

3.113

27

2.875

21

2.747

19

2.311

18

1.841

25

1.583

18

2.879

20

3.591

32

2.914

24

3.716

35

2.8

25

3.621

28

3.792

28

2.867

25

3.419

22

3.6

30

2.394

20

2.286

20

1.486

31

3.885

20

3.8

29

3.914

28

1.86

16

2.948

28

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