Math

StatisticsProbability and Statistics for Engineering and the SciencesIn the accompanying table, we give the smallest SSE for each number of predictors k ( k = 1, 2, 3, 4) for a regression problem in which y = cumulative heat of hardening in cement, x 1 = % tricalcium aluminate, x 2 = % tricalcium silicate, x 3 = % aluminum ferrate, and x 4 = % dicalcium silicate. Number of Predictors k Predictor(s) SSE 1 x 4 880.85 2 x 1 ,x 2 58.01 3 x 1 , x 2 ,x 3 49.20 4 x 1, x 2 ,x 3 ,x 4 47.86 In addition, n = 13 and SST = 2715.76. a. Use the criteria discussed in the text to recommend the use of a particular regression model. b. Would forward selection result in the best twopredictor model? Explain.BuyFind*launch*

9th Edition

Jay L. Devore

Publisher: Cengage Learning

ISBN: 9781305251809

Chapter 13.5, Problem 57E

Textbook Problem

In the accompanying table, we give the smallest SSE for each number of predictors *k* (*k* = 1, 2, 3, 4) for a regression problem in which *y* = cumulative heat of hardening in cement, *x*_{1} = % tricalcium aluminate, *x*_{2} = % tricalcium silicate, *x*_{3} = % aluminum ferrate, and *x*_{4} = % dicalcium silicate.

Number of Predictors k |
Predictor(s) |
SSE |

1 | x_{4} |
880.85 |

2 | x_{1},x_{2} |
58.01 |

3 | x_{1,}x_{2},x_{3} |
49.20 |

4 | x_{1,} x_{2},x_{3},x_{4} |
47.86 |

In addition, *n* = 13 and SST = 2715.76.

**a. **Use the criteria discussed in the text to recommend the use of a particular regression model.

**b. **Would forward selection result in the best twopredictor model? Explain.

Probability and Statistics for Engineering and the Sciences

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