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	1500	131
2	1500	142
3	750	111
4	1500	264
5	1250	237
6	1750	267
7	1500	61
8	2000	135
9	2000	263
10	2000	263
11	750	125
12	1500	76
13	2000	77
14	750	170
15	1000	165
16	1000	152
17	1000	238
18	1750	209
19	1250	167
20	1750	75

a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) The correlation of Wattage and Area is ___. The link (relationship) is ____.

b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.010 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H₀: 0; H₁: > 0 Reject H₀ if t > 2.552

t = ____

c. 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

d. What heating area corresponds with a 1,500-watt heater? (Round your answers to 4 decimal places.) Heating area ____

e. What is the 95% confidence interval of heating the area if the wattage is 1,500? (Round your answers to 4 decimal places.) [ ____ , ____ ]