Exercise 13-58 (LO13-2, LO13-3)
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 | 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 | |
|
Compute the correlation between the wattage and heating area. Isthere a direct or an indirect relationship? (Round youranswer to 4 decimal places.)
Conduct a test of hypothesis to determine if it is reasonablethat the coefficient is greater than zero. Use the 0.050significance level. (Round intermediate calculations andfinal answer to 3 decimal places.)
Develop the regression equation for effective heating based onwattage.
