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In: Statistics and Probability

Exercise 13-58 (LO13-2, LO13-3) A consumer buying cooperative tested the effective heating area of 20 different...

Exercise 13-58 (LO13-2, LO13-3)

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
1 750 168
2 750 58
3 1,500 56
4 750 51
5 1,000 237
6 1,250 105
7 1,000 139
8 2,000 197
9 1,250 80
10 1,500 166
11 750 75
12 1,750 292
13 2,000 49
14 1,250 78
15 1,750 269
16 750 162
17 1,250 171
18 1,500 147
19 2,000 244
20 1,000 73
  1. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.)

  2. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.)

  3. Develop the regression equation for effective heating based on wattage.

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