In: Statistics and Probability
Exercise 13-58 (LO13-2, LO13-3)
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 | 168 | ||
2 | 750 | 58 | ||
3 | 1,500 | 56 | ||
4 | 750 | 51 | ||
5 | 1,000 | 237 | ||
6 | 1,250 | 105 | ||
7 | 1,000 | 139 | ||
8 | 2,000 | 197 | ||
9 | 1,250 | 80 | ||
10 | 1,500 | 166 | ||
11 | 750 | 75 | ||
12 | 1,750 | 292 | ||
13 | 2,000 | 49 | ||
14 | 1,250 | 78 | ||
15 | 1,750 | 269 | ||
16 | 750 | 162 | ||
17 | 1,250 | 171 | ||
18 | 1,500 | 147 | ||
19 | 2,000 | 244 | ||
20 | 1,000 | 73 | ||
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 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.)
Develop the regression equation for effective heating based on wattage.