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...

The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 22.726 + 0.323x, where
x = price ($) andy = overall score.

Brand	Price ($)	Score
A	180	76
B	150	71
C	95	61
D	70	56
E	70	42
F	35	24

(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= ?

Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)

The least squares line provided a good fit as a small proportion of the variability iny has been explained by the least squares line.

The least squares line provided a good fit as a large proportion of the variability iny has been explained by the least squares line.

The least squares line did not provide a good fit as a small proportion of the variability iny has been explained by the least squares line.

The least squares line did not provide a good fit as a large proportion of the variability iny has been explained by the least squares line.

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

Jun 08, 2022

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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...

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