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

1,750

455

2

1,500

35

3

2,200

565

4

2,100

455

5

1,750

255

6

1,300

55

7

1,400

335

8

1,000

35

9

2,300

555

10

1,250

35

11

2,000

545

12

1,400

125

13

1,200

45

14

1,250

135

15

2,300

555

16

2,300

565

17

2,800

655

18

1,000

35

19

800

45

20

300

20

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 0.01 significance level. (Negative value should be indicated by a minus sign. Round intermediate calculations and final answer to 3 decimal places.)

H0: 0; H1: > 0 Reject H0 if t > 2.5524 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.)