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The following data show the brand, price ($), and the overall score for 6 stereo headphones...

The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 25.854 + 0.291x, where x = price ($) and y = overall score.

Brand Price Score
Bose 170 75
Scullcandy 160 71
Koss 95 62
Phillips/O'Neill 60 57
Denon 70 30
JVC 45 35

Round your answers to three decimal places.

a. Compute SST, SSR, and SSE.

SST
SSR
SSE

b. Compute the coefficient of determination r2. Comment on the goodness of fit.

r2 =

c. What is the value of the sample correlation coefficient?

r =

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Math   Statistics-And-Probability   
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