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.
Round your answers to three decimal places.
a. Compute SST, SSR, and SSE.
b. Compute the coefficient of determination r2. Comment on the goodness of fit.
c. What is the value of the sample correlation coefficient?
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