Question

In: Statistics and Probability

The following data on price ($) and the overall score for 6 stereo headphones that were...

The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is y^= 26.587 + .311x .

Brand Price Score
Bose 180 76
Scullcandy 150 73
Koss 95 67
Phillips/O'Neill 80 57
Denon 70 50
JVC 35 26

a. Does the t- test indicate a significant relationship between price and the overall score?

The test -Conclusion at &=.05

t= (to 2 decimal places.)

-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 2

b. Test for a significant relationship using the test F.
P-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 4

What is your conclusion? Use & = .05

Because P-value is [- Select your answer -greater than or equal to less than or equal to equal to] .05 , we [- Select your answer -accept/reject] H0 : B1 is [- Select your answer -greater than or equal to zero less than or equal to zero equal to zero].

c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary.

Source of
Variation		 Sum of
Squares		 Degrees of
Freedom
Mean Square
F
p-value
Regression - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 12
Error
Total

Solutions

Expert Solution

a)

\ t= 4.13

between .01 and .025

b)

between .01 and .025

Because P-value is less than or equal to 0.05 reject Ho ; B1 is not equal to zero

c)

Source SS df MS F p value
regression 1392.629 1.000 1392.629 17.077 0.014
Residual error 326.204 4.000 81.551
Total 1718.833 5.000

orchestra answered 2 years ago
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