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Question: Exercise 13-58 A consumer buying cooperative tested the effective heating area of 20 differen…

by Essaynice Tutors | Sep 9, 2023 | statistics and probability

Exercise 13-58

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	124
2	1,750	259
3	1,500	66
4	750	267
5	1,250	91
6	1,000	87
7	1,000	123
8	2,000	284
9	1,250	88
10	1,000	236
11	1,250	80
12	1,750	240
13	1,750	272
14	2,000	293
15	1,500	105
16	2,000	200
17	1,500	69
18	750	219
19	750	219
20	1,750	82

Question: Exercise 13-58A consumer buying cooperative tested the effective heating areaof 20 differen... Click
here for the Excel Data File

(a)

Compute the correlation between the wattage and heating area. Is
there a direct or an indirect relationship? (Negative
values should be indicated by a minus sign. Round your answer to 3
decimal places.)

The correlation of
Wattage and Area is . The link (relationship) is (Click to
select)indirectdirect.

(b)

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

H₀: Ï â‰¤
0;

H₁: Ï >
0.

Reject H₀ if
t > 2.2137

t =

(Click to select)Do
not rejectReject H₀. It is (Click to
select)quite reasonablenot reasonable to say the population
correlation is positive.

(c)

Develop the regression equation for effective heating based on
wattage. (Negative values should be indicated by a minus
sign. Round your answers to 3 decimal places.)

The regression
equation is: (Click to select)WattageArea
= + (Click to select)WattageArea.

(d)

Which heater looks like the â€œbest buyâ€ based on the size of the
residual? (Round residual value to 2 decimal
places.)

The (Click to
select)tenththirdnineteenthsixthfifteenththirteenthtwentiethninthfifthfourteentheleventhsecondseventeenthtwelftheighthfirstsixteenthseventheighteenthFourth
heater is the “best buy.” It heats an area that
is square feet
larger than estimated by the regression equation.