A consumer buying cooperative tested the effective heating areaof 20 different electric space heaters with different wattages.Here are the results.
Heater | Wattage | Area |
1 | 1,000 | | 290 | |
2 | 750 | | 292 | |
3 | 1,500 | | 148 | |
4 | 1,250 | | 246 | |
5 | 1,250 | | 203 | |
6 | 750 | | 85 | |
7 | 1,250 | | 237 | |
8 | 1,000 | | 139 | |
9 | 1,500 | | 64 | |
10 | 1,000 | | 171 | |
11 | 1,750 | | 163 | |
12 | 1,250 | | 175 | |
13 | 750 | | 264 | |
14 | 1,500 | | 50 | |
15 | 1,750 | | 163 | |
16 | 1,500 | | 177 | |
17 | 1,250 | | 118 | |
18 | 1,750 | | 122 | |
19 | 1,000 | | 144 | |
20 | 1,500 | | 103 | |
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(a) Compute the correlation between the wattage and heatingarea. Is there a direct or an indirect relationship? (Negativevalues should be indicated by a minus sign. Round your answer to 3decimal places.) The correlation of Wattage and Area is?
(b) Conduct a test of hypothesis to determine if it isreasonable that the coefficient is greater than zero. Use the 0.02significance level. (Negative values should be indicated by a minussign. Round your answer to 3 decimal places.)
(c) Develop the regression equation for effective heating basedon wattage. (Negative values should be indicated by a minus sign.Round your answers to 3 decimal places.) The regression equationis?
(d) Which heater looks like the “best buy” based on the size ofthe residual? (Round residual value to 2 decimal places.) The______heater is the "best buy." It heats an area that is________square feet larger than estimated by the regression equation.
