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A local golf ball manufacturer collects the following data relating sales to ave

ID: 3222644 • Letter: A

Question

A local golf ball manufacturer collects the following data relating sales to average temperature. You developed a regression model that expresses monthly sales (Y) as a function of average temperature during the month (X). Your calculation resulted in the following formula:

Monthly Sales = - 767.7 + 98.5*(Avg temp)

Month

Sales (Y)

Temp (X)

Mar-16

4670

52

Apr-16

5310

58

May-16

6320

69

Jun-16

7080

75

Jul-16

7210

83

Aug-16

7040

82

Sep-16

6590

78

Oct-16

5520

65

Nov-16

4640

54

Dec-16

4000

48

Jan-17

2840

41

Feb-17

3170

42

Using the regression forecasting model you developed, forecast the monthly golf ball sales in June and July 2017. Average temperature in June are expected to be 76 degrees, and average temperatures in July are expected to be 82 degrees.

Month

Sales (Y)

Temp (X)

Mar-16

4670

52

Apr-16

5310

58

May-16

6320

69

Jun-16

7080

75

Jul-16

7210

83

Aug-16

7040

82

Sep-16

6590

78

Oct-16

5520

65

Nov-16

4640

54

Dec-16

4000

48

Jan-17

2840

41

Feb-17

3170

42

Explanation / Answer

Regression equation is
Monthly sales = -767.7 + 98.5*(Avg Temp)

For June,
avg. temp = 76
Monthly sales = -767.7 + 98.5*76
Monthly Sales of June is expected to be 6718.3

For July,
avg. temp = 82
Monthly sales = -767.7 + 98.5*82
Monthly Sales of July is expected to be 7309.3

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