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