Question

# 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.

 Brand Price Score Bose 190 78 Scullcandy 150 76 Koss 85 67 Phillips/O'Neill 80 57 Denon 80 40 JVC 45 27

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

The test t-Conclusion at α = .05

t =  (to 2 decimal places.)

p-value is - Select your answer -less than .02, between .02 and .05, between .05 and .1, between .1 and .2 or greater than .2.

What is your conclusion? Use α = .05.
- Select your answer -There is a significant relationship between price and overall score OR There is no significant relationship between price and overall scoreItem 3 .

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

What is your conclusion? Use α = .05.

Because p-value is - Select your answer - greater than or equal to, less than or equal to. OR equal to 0.5 - we accept or reject H0: β1 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 .01, between .01 and .025, between .025 and .05, between .05 and .1greater than .1 Error x Total x x

Applying regression from excel: data -data analysis: regression:

 df SS MS F Significance F Regression 1 1500.843 1500.843 10.19842 0.033106 Residual 4 588.6569 147.1642 Total 5 2089.5 Coefficients Standard Error t Stat P-value Intercept 23.71897 11.68002 2.030729 0.11212 Price 0.321724 0.100744 3.193497 0.033106

from above":

a) The test t =3.19

p-value is between .02 and .05

There is a significant relationship between price and overall score

b)

p-value is   between .025 and .05

Because p-value is less than or equal to 0.05 reject H0: β1 is equal to zero

 df SS MS F p value Regression 1500.843 1 1500.843 10.198 between 0.025 and 0.05 Residual 588.657 4 147.164 Total 2089.500 5

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