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  3. consider the data. xi 3 12 6 20 14 yi

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...

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Question

Basic Math

Consider the data.

xi

31262014

yi

5535451015

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

(a) Compute SSE, SST, and SSR using equations SSE =?(yi ??i)2, SST =?(yi ?y)2, and SSR =?(?i ?y)2.

SSE=

SST=

SSR=

(b) Compute the coefficient of determinationr2.(Round your answer to three decimalplaces.)

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 ofthe following.

1.The least squares line provided a good fit as a largeproportion of the variability in y has been explained bythe least squares line.

2.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.    

3.The least squares line provided a good fit as a smallproportion of the variability in y has been explained bythe least squares line.

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

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

Answer & Explanation Solved by verified expert
4.1 Ratings (682 Votes)
XYX YX2Y2YSSE Y Y2SST Yi Y 2SSR Y Y    See Answer
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