Developing a simple linear regression analysis


Assignment:

Finley Heaters Inc. is a mid sized manufacturer of residential water heaters. Sales have grown during the last several years, and the company's production capacity needs to be increased. The company's management wonders if national housing starts might be a good indicator of the company's sales.

Year

National Housing Starts (millions)

Finley Heaters' Annual Sales (millions of dollars)

1

6.2

57

2

5.1

59

3

6.5

65

4

7.9

78

5

6.3

72

6

7.4

80

7

7.0

86

Q1. Develop a simple linear regression analysis between Finley Heaters' sales and national housing starts. Forecast Finley Heaters' sales for the next two years. The National Home Builders Association estimates that national housing starts will be 7.1 million and 8.0 million for the next two years.

Q2. What percentage of variation in Finley Heaters' sales is explained by national housing starts?

Q3. Would you recommend that Finley Heaters management use forecast from Part a to plan facility expansion? Why or why not? What could be done to improve the forecast?

Provide complete and step by step solution for the question and show calculations and use formulas.

 

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