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	1,750		108
2	1,000		234
3	1,250		281
4	750		208
5	1,750		90
6	1,250		213
7	1,250		158
8	1,750		216
9	1,500		255
10	1,250		220
11	1,250		108
12	1,750		208
13	2,000		89
14	1,500		266
15	2,000		262
16	1,000		61
17	1,500		166
18	750		284
19	1,250		199
20	1,000		142

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 0.100 significance level. (Round intermediate calculations and final answer to 3 decimal places.)

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

t = ______________

__________________ Ho. It is not reasonable to say the population correlation is _____________

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 or wattage)

d-) 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

the output of the regression analysis is

d) the results of excel as followa