A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results. a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the .05 significance level. c. Develop the regression equation for effective heating based on wattage. d. Which heater looks like the “best buy” based on the size of the residual?

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

a. Compute the correlation between the wattage and heating area. Is there a direct or
an indirect relationship?
b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is
greater than zero. Use the .05 significance level.
c. Develop the regression equation for effective heating based on wattage.
d. Which heater looks like the “best buy” based on the size of the residual?

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