Question

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	86
2	2000	129
3	1250	161
4	2000	224
5	2000	82
6	2000	99
7	750	80
8	1250	228
9	2000	282
10	1000	50
11	2000	279
12	1500	179
13	1500	206
14	750	44
15	1250	150
16	1250	293
17	1500	228
18	1000	222
19	1000	106
20	1750	187

1. 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_________

2. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.100 significance level. (Rond intermediate calculations and final answer to 3 decimal places.)

H₀: ρ ≤ 0; H₁: ρ > 0 Reject H₀ if t > 1.330

t=___________

________H0, it is quite reasonable to say the population correlation is________

3. 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 _________=_______+________ _________

4. Which heater looks like the “best buy” based on the size of the residual? (Round residual value to 3 decimal places.)

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

Answer 1