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 | | 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 youranswer to 4 decimal places.) 2. Conduct a test ofhypothesis to determine if it is reasonable that the coefficient isgreater than zero. Use the 0.100 significance level. (Roundintermediate calculations and final answer to 3 decimalplaces.) H0: Ï â‰¤ 0;H1: Ï > 0 RejectH0 if t > 1.330 3. Develop theregression equation for effective heating based on wattage.(Negative value should be indicated by a minus sign. Roundyour answers to 3 decimal places.) 4.  Whichheater looks like the “best buy†based on the size of the residual?(Round residual value to 3 decimal places.)
