a Develop a linear regression equation for air conditioner sales as a function of the average weekly temperature. b Forecast air conditioner sales if the average weekly temperature is 88 degrees Fahrenheit. c Evaluate the "goodness of fit" of the regression equation by computing the values of R2, r, and Sxy and interpret the results.
The manager of Mayo Department Store want to evaluate
the relationship between the sales of air conditioners and
the average weekly temperature. The following weekly
sales data along with the average daytime temperatures
for 10 one-week periods are shown in the following table:
Week Air-conditioner Sales(in units) Average Temperature (in degrees Fahrenheit)
1 100 78
2 85 70
3 103 85
4 110 90
5 70 75
6 115 94
7 150 101
8 120 98
9 97 86
10 85 80
a Develop a linear regression equation for air conditioner
sales as a function of the average weekly temperature.
b
temperature is 88 degrees Fahrenheit.
c Evaluate the "goodness of fit" of the regression
equation by computing the values of R2, r, and Sxy and
interpret the results.
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