Question

In: Statistics and Probability

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

The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. 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 = 23.194 + 0.318x,

where x = price ($) and y = overall score.

Brand Price ($) Score
A 180 76
B 150 71
C 95 61
D 70 58
E 70 38
F 35 26

(a) Compute SST, SSR, and SSE. (Round your answers to three decimal places.)

SST =  

SSR =

SSE =

(b) Compute the coefficient of determination r2.  (Round your answer to three decimal places.)

r2 =

(c) What is the value of the sample correlation coefficient? (Round your answer to three decimal places.)

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