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 1 750 73 2 750 62 3 1,000 133 4 1,250 51 5 1,750 203 6 1,250 250 7 1,500 154 8 1,000 243 9 1,250 117 10 1,250 112 11 750 130 12 2,000 291 13 1,500 298 14 1,500 225 15 2,000 225 16 1,250 141 17 750 275 18 750 41 19 2,000 76 20 1,000 59 Click here for the Excel Data File a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.100 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H0: 0; H1: > 0 Reject H0 if t > 1.330 H0. It is quite reasonable to say the population correlation is . c. 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.) d. What heating area corresponds with a 1,500-watt heater? (Round your answers to 4 decimal places. e. What is the 95% confidence interval of heating the area if the wattage is 1,500? (Round your answers to 4 decimal places.)