Question

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile? Lemon Imports 226 266 364 469 544 Crash Fatality Rate 15.9 15.7 15.4 15.3 14.8

Answer #1

Ans:

x | y | xy | x^2 | y^2 | |

1 | 226 | 15.9 | 3593.4 | 51076 | 252.81 |

2 | 266 | 15.7 | 4176.2 | 70756 | 246.49 |

3 | 364 | 15.4 | 5605.6 | 132496 | 237.16 |

4 | 469 | 15.3 | 7175.7 | 219961 | 234.09 |

5 | 544 | 14.8 | 8051.2 | 295936 | 219.04 |

Total | 1869 | 77.1 | 28602.1 | 770225 | 1189.59 |

slope,b=(5*28602.1-1869*77.1)/(5*770225-1869^2)=-0.00304

y-intercept,a=(77.1-(-0.00304)*1869)/5=16.558

Regression eqn:

y'=-0.00304x+16.558

when x=425

y'=-0.00304*425+16.558

y'=**15.27**

**Yes,as x=425 is within the range of sample x
values.**

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