Question

After watching the Superbowl, Steve is convinced that the referees are often blind, blowing calls that...

After watching the Superbowl, Steve is convinced that the referees are often blind, blowing calls that greatly influence teams’ chances of winning. To test his idea, Steve chooses ten NFL teams at random and watches every single game in a season for those ten teams. He records the number of blown calls going against each team (regardless of whether he is a fan of the team!). He also records the winning percentages of each of those ten teams at the end of the season. He is most interested in knowing whether the number of blown calls going against each team predicts those teams’ winning percentages. Using Steve’s dataset below, provide your hand calculations to answer the questions that follow.

Blown Calls (X)

Winning Percentage (Y)

X2

Y2

XY

50

78

61

83

66

55

69

73

73

49

74

59

79

39

80

45

85

47

110

32

Total

What is the regression intercept (a)? Show your work.

Homework Answers

Answer #1

Blown Calls (X)

Winning Percentage (Y)

X2

Y2

XY

1.

50

78

2500

6084

3900

2.

61

83

3721

6889

5063

3.

66

55

4356

3025

3630

4.

69

73

4761

5329

5037

5.

73

49

5329

2401

3577

6.

74

59

5476

3481

4366

79

39

6241

1521

3081

80

45

6400

2025

3600

85

47

7225

2209

3995

110

32

12100

1024

3520

Total

747

560

58109

33988

39769

a= ( 2833597) / 23081

a= 122.767

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