The coefficient of determination is (Enter your response rounded to two decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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 northern
Ohio. 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:
Plant
ITT
Thousands of Gallons Sold (X)
434.7
Cost per Thousand Gallons (Y)
1
$1,024
2
962
466.4
3
1,065
1,006
1,045
1,068
251.3
372.1
5
245.0
6.
258.6
7
988
614.9
414.0
8
997
9
1,063
1,000
$10,218
267.5
380,4
3,704.9
10
Total
a. Develop a regression equation to forecast the cost per thousand gallons as a function of the number of thousands of gallons produced.
The forecasting model is given by the equation Y= 1116.20 - 25 X. (Enter your responses rounded to two decimal places.)
b. What are the correlation coefficient and the coefficient of determination?
The sample correlation coefficient is - 82. (Enter your response rounded to two decimal places.)
The coefficient of determination is
(Enter your response rounded to two decimal places.)
Transcribed Image Text: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 northern Ohio. 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: Plant ITT Thousands of Gallons Sold (X) 434.7 Cost per Thousand Gallons (Y) 1 $1,024 2 962 466.4 3 1,065 1,006 1,045 1,068 251.3 372.1 5 245.0 6. 258.6 7 988 614.9 414.0 8 997 9 1,063 1,000 $10,218 267.5 380,4 3,704.9 10 Total a. Develop a regression equation to forecast the cost per thousand gallons as a function of the number of thousands of gallons produced. The forecasting model is given by the equation Y= 1116.20 - 25 X. (Enter your responses rounded to two decimal places.) b. What are the correlation coefficient and the coefficient of determination? The sample correlation coefficient is - 82. (Enter your response rounded to two decimal places.) The coefficient of determination is (Enter your response rounded to two decimal places.)
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