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In: Statistics and Probability

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

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 74
2 1,000 237
3 1,500 50
4 1,500 133
5 1,500 89
6 2,000 285
7 1,500 251
8 1,250 291
9 1,000 121
10 1,750 148
11 1,750 111
12 1,000 254
13 1,750 103
14 1,000 299
15 1,250 115
16 1,000 200
17 1,750 106
18 1,250 74
19 1,500 64
20 1,250 64

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 0.100 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.330 3. Develop the regression equation for effective heating based on wattage. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) 4.  Which heater looks like the “best buy” based on the size of the residual? (Round residual value to 3 decimal places.)

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