Question: Efficiency experts with a manufacturing firm wish to study the relationship between the time required for an employee to complete a certain task and the light intensity and noise level at the workstation. Their data on 20 employees are presented in the following table.

Time Required Light Noise

To complete task intensity level

(Y) (X ₁ ) (X ₂ )

58 5 58

90 8 70

60 7 65

45 4 54

125 11 83

100 9 72

115 10 76

52 6 59

85 8 68

135 10 60

125 11 81

40 5 59

95 9 71

70 6 62

120 10 75

86 7 64

80 7 66

65 6 61

95 8 66

25 5 57

1. Find the multiple regression equation describing the relationship among these variables.

b. Compute R ² .

c. Let X ₁ = 10 and X ₂ = 60 and find the predicted value of Y.

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