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Correlation and Regression Computation

A consumer buying cooperative tested the effective heating area of 20 different electric
space heaters with different wattages. Here are the results.

Heater Wattage Area
1 1,500 205
2 750 70
3 1,500 199
4 1,250 151
5 1,250 181
6 1,250 217
7 1,000 94
8 2,000 298
9 1,000 135
10 1,500 211
11 1,250 116
12 500 72
13 500 82
14 1,500 206
15 2,000 245
16 1,500 219
17 750 63
18 1,500 200
19 1,250 151
20 500 44

a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship?
b. Develop a scatter diagram for these two variables.
c. Develop the regression equation for effective heating based on wattage.

Solution Summary

This solution shows step-by-step calculations to determine the correlation between wattage and heating area as well as the regression equation for the relationship. A scatter diagram of the correlation is also included.

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