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 | 1,500 | | 183 | |
| 2 | 1,000 | | 30 | |
| 3 | 1,500 | | 345 | |
| 4 | 1,500 | | 235 | |
| 5 | 1,500 | | 465 | |
| 6 | 2,000 | | 565 | |
| 7 | 1,500 | | 455 | |
| 8 | 1,250 | | 455 | |
| 9 | 1,000 | | 255 | |
| 10 | 1,750 | | 545 | |
| 11 | 1,750 | | 480 | |
| 12 | 450 | | 20 | |
| 13 | 2,200 | | 725 | |
| 14 | 350 | | 15 | |
| 15 | 200 | | 15 | |
| 16 | 300 | | 15 | |
| 17 | 1,750 | | 475 | |
| 18 | 1,300 | | 445 | |
| 19 | 800 | | 20 | |
| 20 | 300 | | 35 | |
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Click here for the Excel Data File
Compute the correlation between the wattage and heating area. Isthere a direct or an indirect relationship? (Negative valueshould be indicated by a minus sign. Round your answer to 3 decimalplaces.)
Conduct a test of hypothesis to determine if it is reasonablethat the coefficient is greater than zero. Use the 0.10significance level. (Negative value should be indicated bya minus sign. Round intermediate calculations and final answer to 3decimal places.)
H0: Ï â‰¤ 0; H1: Ï > 0Reject H0 if t > 1.3304
Develop the regression equation for effective heating based onwattage. (Negative value should be indicated by a minussign. Round your answers to 3 decimal places.)
Which heater looks like the “best buy†based on the size of theresidual? (Negative value should be indicated by a minussign. Round residual value to 2 decimal places.)
