A consumer buying cooperative tested the effective heating area of 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 Click here for the Excel Data File Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.025 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 2.101 Develop the regression equation for effective heating based on wattage. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) Which heater 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 area of 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 | ||
Click here for the Excel Data File
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Compute the
correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.)
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Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.025 significance level. (Round intermediate calculations and final answer to 3 decimal places.)
H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 2.101
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Develop the regression equation for effective heating based on wattage. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
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Which heater looks like the “best buy” based on the size of the residual? (Round residual value to 3 decimal places.)
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