A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results.

a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship?

b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the .05 significance level.

c. Develop the regression equation for effective heating based on wattage.

d. What heating area corresponds with a 1,500-watt heater?

e. What is the 95% confidence interval of heating the area if the wattage is 1,500?

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Heater Wattage Area Heater Wattage Area 1 1,500 205 11 1,250 116 750 70 12 500 72 1,500 199 13 500 82 1,250 151 14 1,500 206 1,250 181 15 2,000 245 1,250 217 16 1,500 219 1,000 94 17 750 63 8. 2,000 298 18 1,500 200 9. 1,000 135 19 1,250 151 10 1,500 211 20 500 44 234 5