Problem 28 BSC

Regression and Predictions. Exercises use the same data sets as Exercises in Section 10-2. In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure.

Figure

Sports Using the data from the preceding exercise, find the best predicted volume of a marble with a diameter of 1.50 cm. How does the result compare to the actual volume of 1.8 cm3?

Problem 28 BSC

Answer:

Step1 of 3:

We have Exercises use the same data sets as Exercises in Section 10-2. In each case,

x | 7.4 | 23.9 | 4.3 | 21.8 | 7 | 4 | 20.9 | 9.7 |

y | 212.2 | 7148.1 | 41.6 | 5424.6 | 179.6 | 33.5 | 4780.1 | 477.9 |

Step2 of 3:

We need to Find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure.

find the best predicted volume of a marble with a diameter of 1.50 cm. How does the result compare to the actual volume of 1.8 cm3?

Step3 of 3:

Consider,

x | y | xy | |

7.4 | 212.2 | 1570.28 | 54.76 |

23.9 | 7148.1 | 170839.59 | 571.21 |

4.3 | 41.6 | 178.88 | 18.49 |

21.8 | 5424.6 | 118256.28 | 475.24 |

7 | 179.6 | 1257.2 | 49 |

4 | 33.5 | 134 | 16 |

20.9 | 4780.1 | 99904.09 | 436.81 |

9.7 | 477.9 | 4635.63 | 94.09 |

99 | 18297.6 | 396775.95 | =1715.6 |

The equation of the...