Heater Wattage Area

1 1,460 229

2 790 55

3 1,430 176

4 1,260 124

5 1,280 161

6 1,290 230

7 1,010 103

8 1,900 281

9 1,100 136

10 1,530 240

11 1,150 87

12 420 76

13 400 56

14 1,440 181

15 1,940 255

16 1,420 223

17 680 75

18 1,580 198

19 1,320 126

20 550 21

a. What is 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 wattage and area is ________?

b. Use 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 RejectH₀ift> 2.5524

t= _________?

c. Use 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)?

d. 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 _________? heater is the "best buy" it heats and area that is _________? square feet larger than estimated by the regression equation.