Question

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 1,750 124 2 1,750 259 3 1,500 66 4 750 267 5 1,250 91 6 1,000 87 7 1,000 123 8 2,000 284 9 1,250 88 10 1,000 236 11 1,250 80 12 1,750 240 13 1,750 272 14 2,000 293 15 1,500 105 16 2,000 200 17 1,500 69 18 750 219 19 750 219 20 1,750 82 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.)

Answer 1