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 1,560 175

2 720 85

3 1,450 216

4 1,290 173

5 1,180 188

6 1,340 236

7 920 85

8 1,920 301

9 1,020 164

10 1,490 240

11 1,170 131

12 410 48

13 530 56

14 1,570 231

15 1,940 260

16 1,440 238

17 650 72

18 1,420 196

19 1,190 147

20 460 31

Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.05 significance level. (Negative value should be indicated by a minus sign. Round intermediate calculations and final answer to 3 decimal places.)

H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.7341

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? (Negative value should be indicated by a minus sign. Round residual value to 2 decimal places.)

Answer 1