A consumer buying cooperative tested the effective heating areaof 20 different electric space heaters with different wattages.Here are the results.

Heater	Wattage		Area
1	1,000		290
2	750		292
3	1,500		148
4	1,250		246
5	1,250		203
6	750		85
7	1,250		237
8	1,000		139
9	1,500		64
10	1,000		171
11	1,750		163
12	1,250		175
13	750		264
14	1,500		50
15	1,750		163
16	1,500		177
17	1,250		118
18	1,750		122
19	1,000		144
20	1,500		103

(a) Compute the correlation between the wattage and heatingarea. Is there a direct or an indirect relationship? (Negativevalues should be indicated by a minus sign. Round your answer to 3decimal places.) The correlation of Wattage and Area is?

(b) Conduct a test of hypothesis to determine if it isreasonable that the coefficient is greater than zero. Use the 0.02significance level. (Negative values should be indicated by a minussign. Round your answer to 3 decimal places.)

(c) Develop the regression equation for effective heating basedon wattage. (Negative values should be indicated by a minus sign.Round your answers to 3 decimal places.) The regression equationis?

(d) Which heater looks like the “best buy” based on the size ofthe residual? (Round residual value to 2 decimal places.) The______heater is the "best buy." It heats an area that is________square feet larger than estimated by the regression equation.