A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results.   Wattage Area 1 750 291 2 1750 83 3 1250 215 4 1750 209 5 1500 295 6 750 153 7 1000 40 8 750 166 9 1250 115 10 1250 146 11 750 113 12 1000 56 13 1750 284 14 1000 45 15 750 82 16 1250 175 17 750 150 18 1500 231 19 1000 87 20 750 52   A. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 3 decimal places.) B. Conduct a test of hypothesis to determine if it is reasonable that thecoefficient is greater than zero. Use the .05 significance level. (Round youranswer to 3 decimal places.) C. Develop the regression equation for effective heating based on wattage. (Roundyour answer to 3 decimal places.) 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.

 

Wattage

Area

1

750

291

2

1750

83

3

1250

215

4

1750

209

5

1500

295

6

750

153

7

1000

40

8

750

166

9

1250

115

10

1250

146

11

750

113

12

1000

56

13

1750

284

14

1000

45

15

750

82

16

1250

175

17

750

150

18

1500

231

19

1000

87

20

750

52

 

A. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 3 decimal places.)

B. Conduct a test of hypothesis to determine if it is reasonable that the
coefficient is greater than zero. Use the .05 significance level. (Round your
answer to 3 decimal places.)

C. Develop the regression equation for effective heating based on wattage. (Round
your answer to 3 decimal places.)

D. Which heater looks like the “best buy” based on the size of the residual?

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