Function of the number of gallons

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Reference no: EM13960911

Ohio Swiss Milk Products manufactures and distributes ice cream in Ohio, Kentucky, and West Virginia. The com­pany wants to expand operations by locating another plant in northernOhio. The size of the new plant will be a function of the expected demand for ice cream within the area served by the plant. A market survey is currently under way to determine that demand. Ohio Swiss wants to estimate the relationship between the manufacturing cost per gallon and the number of gallons sold in a year to determine the demand for ice cream and, thus, the size of the new plant. The following data have been collected:

a. Develop a regression equation to forecast the cost per gallon as a function of the number of gallons produced.

Plant

Cost per Thousand Gallons (Y)

Thousands of Gallons Sold (X)

1

$1,015

416.9

2

973

4725

3

1,046

250.0

4

1,006

372.1


1,058

238.1

6

1,068

258.6

7

967

597.0

a

997

414.0

9

1,044

263.2

10

1,008

372.0

Total

$10.182

3.654.4

b. What are the correlation coefficient and the coefficient of determination? Comment on your regression equa­tion in light of these measures.

c. Suppose that the market survey indicates a demand of 325,000 gallons in the Bucyrus. Ohio. area. Estimate the manufacturing cost per gallon for a plant produc­ing 325.000 gallons per year.

Reference no: EM13960911

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