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 1,300 85
2 1,500 225
3 2,000 177
4 2,000 205
5 1,750 289
6 1,500 79
7 1,000 136
8 1,250 162
9 2,000 120
10 1,250 242
11 2,000 292
12 1,000 221
13 1,250 270
14 1,250 73
15 2,000 286
16 2,000 70
17 2,000 111
18 1,250 290
19 1,000 138
20 1,500 137
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 0.025 significance level. t=
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?
