Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used. What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold?

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  1. Patty’s Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between the inches of rainfall and umbrella sales can be modeled using a linear function.

Month

Jan.

Feb.

Mar.

Apr.

May

Jun.

Jul.

Aug.

Sept.

Oct.

Nov.

Dec.

Rainfall (in.)

2.5

3.1

4.0

4.3

3.6

2.4

1.2

0.6

1.5

1.4

1.1

2.6

Umbrella sales

132

140

162

170

156

103

98

87

84

78

110

125

 

  • Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain the steps you used.
  • What does the correlation coefficient for the data indicate about the direction and strength of the linear association between the monthly rainfall and the number of umbrellas sold?
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