12.30. The manager of Sarah's Ice-Cream store needs an accurate forecast of the demand for ice-cream. The store orders ice-cream from a distributor a week ahead, and if too little is ordered the store loses business. If it orders too much, it must be thrown away. The manager believes that a major determinant of ice-cream sales is temperature; that is, the hotter it is, the more ice-cream people buy. Using an almanac, the manager has determined the average daytime temperature for 10 weeks selected at random and then, from store records, has determined the ice-cream consumption for the same 10 weeks. The data are summarized as follows: Week Temperature (Gallons Sold) 1 75 95 67 90 3 83 125 89 150 77 85 80 115 7 84 110 8 92 145 9. 89 130 65 100 10 a. Develop a linear regression model for this data and forecast the ice-cream consumption if the average weekly daytime tem- perature is expected to be 80. 4- 6

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.3: Simple Regression Models
Problem 10P: Sometimes curvature in a scatterplot can be fit adequately (especially to the naked eye) by several...
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12.30. The manager of Sarah's Ice-Cream store needs an accurate
forecast of the demand for ice-cream. The store orders ice-cream
from a distributor a week ahead, and if too little is ordered the store
loses business. If it orders too much, it must be thrown away. The
manager believes that a major determinant of ice-cream sales is
temperature; that is, the hotter it is, the more ice-cream people buy.
Using an almanac, the manager has determined the average daytime
temperature for 10 weeks selected at random and then, from store
records, has determined the ice-cream consumption for the same 10
weeks. The data are summarized as follows:
Week
Temperature
(Gallons Sold)
1
75
95
67
90
3
83
125
89
150
77
85
80
115
84
110
8
92
145
9.
89
130
10
65
100
a. Develop a linear regression model for this data and forecast
the ice-cream consumption if the average weekly daytime tem-
perature is expected to be 80.
4-
67
Transcribed Image Text:12.30. The manager of Sarah's Ice-Cream store needs an accurate forecast of the demand for ice-cream. The store orders ice-cream from a distributor a week ahead, and if too little is ordered the store loses business. If it orders too much, it must be thrown away. The manager believes that a major determinant of ice-cream sales is temperature; that is, the hotter it is, the more ice-cream people buy. Using an almanac, the manager has determined the average daytime temperature for 10 weeks selected at random and then, from store records, has determined the ice-cream consumption for the same 10 weeks. The data are summarized as follows: Week Temperature (Gallons Sold) 1 75 95 67 90 3 83 125 89 150 77 85 80 115 84 110 8 92 145 9. 89 130 10 65 100 a. Develop a linear regression model for this data and forecast the ice-cream consumption if the average weekly daytime tem- perature is expected to be 80. 4- 67
544
CHAPTER 12 Forecasting
b. Determine the strength of the linear relationship between
temperature and ice-cream consumption using correlation.
c. Compute the coefficient of determination and explain its
meaning.
Transcribed Image Text:544 CHAPTER 12 Forecasting b. Determine the strength of the linear relationship between temperature and ice-cream consumption using correlation. c. Compute the coefficient of determination and explain its meaning.
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