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· = 21.258 + 0.327x,

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

Brand	Price ($)	Score
A	180	76
B	150	69
C	95	63
D	70	54
E	70	38
F	35	24

(a)

Compute SST (Total Sum of Squares), SSR (Regression Sum ofSquares), and SSE (Error Sum of Squares). (Round your answers tothree 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 large proportionof the variability in y has been explained by the leastsquares line.The least squares line did not provide a good fit as asmall proportion of the variability in y has beenexplained by the least squares line.    Theleast squares line provided a good fit as a small proportion of thevariability in y has been explained by the least squaresline.The least squares line did not provide a good fit as a largeproportion of the variability in y has been explained bythe least squares line.