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Question

Applying the Concepts and Skills

For Exercises,

a. compute SST, SSR, and SSE, using Formula on page 641.

b. compute the coefficient of determination, r2.

c. determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer.

d. state how useful the regression equation appears to be for making predictions.

FORMULA

Computing Formulas for the Sums of Squares

The computing formulas for the three sums of squares are

and SSE= SST-SSR.

Crown-Rump Length. Following are the data on age and crown-rump length for fetuses from Exercise 14.62.

x | 10 | 10 | 13 | 13 | 18.0 | 19 | 19 | 23 | 25 | 28 |

y | 66 | 66 | 108 | 106 | 161 | 166 | 177 | 228 | 235 | 280 |

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Math

Statistics

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Transcribed Image Text

SST = Ey? – (Ey,)/n, SSR = [Σxy- (Σx)(Σγ)/ n7? Σ- ΣxF/ %3D