Consider the data

Subject:StatisticsPrice:3.87 Bought7

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Consider the data.

xi	3	12	6	20	14
yi	55	35	45	10	15

The estimated regression equation for these data is ? = 62.25 − 2.75x.

(a) Compute SSE, SST, and SSR using equations SSE = Σ(y_i − ?_i)², SST = Σ(y_i − y)², and SSR = Σ(?_i − y)².

SSE=

SST=

SSR=

(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.) Chose one of the following.

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

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

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

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

(c) Compute the sample correlation coefficient. (Round your answer to three decimal places.)