The following data show the brand, price ($), and the overallscore for six stereo headphones that were tested by a certainmagazine. The overall score is based on sound quality andeffectiveness of ambient noise reduction. Scores range from 0(lowest) to 100 (highest). The estimated regression equation forthese data is

Å· = 23.659 + 0.323x,

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

Brand	Price ($)	Score
A	180	78
B	150	73
C	95	59
D	70	58
E	70	40
F	35	28

(a)

Compute SST, SSR, and SSE. (Round your answers to three decimalplaces.)

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 proportionof the variability in y has been explained by the leastsquares line.The least squares line provided a good fit as a largeproportion of the variability in y has been explained bythe least squares line.     The leastsquares line did not provide a good fit as a small proportion ofthe variability in y has been explained by the leastsquares line.The least squares line did not provide a good fit as alarge proportion of the variability in y has beenexplained by the least squares line.

(c)

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