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 1,460 225

2 650 94

3 1,430 175

4 1,230 134

5 1,310 151

6 1,280 224

7 1,060 119

8 1,980 311

9 1,030 114

10 1,600 234

11 1,270 90

12 460 76

13 540 72

14 1,550 180

15 2,100 258

16 1,410 233

17 740 87

18 1,530 228

19 1,240 146

20 500 29

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.)

The correlation of the wattage area is _____. The link of the relationship is direct.

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: 0;H₁: > 0 RejectH₀ift> 1.7341

t=________

Reject Ho. It is quite possible to say the population correlation is positive.

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.)

The regression equation is: Area = ______+_____ Wattage

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.)

The sixth heater is the best buy. It heats an area that is _______ square feet larger than estimated by the regression equation.