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 ŷ=27.654+0.29x. Brand Price Score Bose 180 76 Scullcandy 160 73 Koss 85 64 Phillips/O'Neill 70 57 Denon 80 50 JVC 45 26 a. Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use α=0.05 b. Show the ANOVA table for these data.

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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 ŷ=27.654+0.29x.

 

Brand Price Score
Bose 180 76
Scullcandy 160 73
Koss 85 64
Phillips/O'Neill 70 57
Denon 80 50
JVC 45 26

 

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

Compute the value of the t test statistic. Use α=0.05

b.  Show the ANOVA table for these data. Round your answers to three decimal places (and p-value to 4 decimal places), if necessary. Do not round intermediate calculations.

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