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A supermarket chain wants to determine the effect of promotion on relative competitiveness. Data were obtained from 15 cities on the promotional expenses relative to

A supermarket chain wants to determine the effect of promotion on relative competitiveness. Data were obtained from 15 cities on the promotional expenses relative to a major competitor (competitor expenses = 100) and on sales relative to this competitor (competitor sales = 100).

City number

Relative promotional expense

Relative sales

1

95

98

2

92

94

3

103

110

4

115

125

5

77

82

6

79

84

7

105

112

8

94

99

9

85

93

10

101

107

11

106

114

12

120

132

13

118

129

14

75

79

15

99

105

You are assigned the task of telling the manager whether there is any relationship between relative promotional expense and relative sales.

A.Plot the relative sales (Y axis) against the relative promotional expense(X axis), and interpret the diagram.

B.\Which measure would you use to determine whether there is a relationship between the two variables? Why?

C.Run a bivariate regression analysis of relative sales on relative promotional expense.

D.Interpret the regression coefficients.

E.Is the regression relationship significant?

F.If the company matched the competitor in terms of promotional expense (if the relative expense was 100), what would the company's relative sales be?

G.Interpret the resulting r2.

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