Question

Fit a regression line to the data shown in the chart, and find the coefficient of correlation for the line.

year, X | 0 (1900) | 2 (1920) | 4 (1940) | 6 (1960) | 8 (1980) |

life expectancy, y |
49.8 years |
52.1 years |
53.7 years |
54.9 years |
55.9 years |

Use the regression line to predict life expectancy in the year 2020, where x is the number of decades after 1900.

Regression line y=0.750x + 50.28

The coefficient of correlation is ?

(Round to three decimal places as needed.)

Answer #1

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**Answer:**

0 | 49.8 | 0 | 2480.04 | 0 | |

2 | 52.1 | 4 | 2714.41 | 104.2 | |

4 | 53.7 | 16 | 2883.69 | 214.8 | |

6 | 54.9 | 36 | 3014.01 | 329.4 | |

8 | 55.9 | 64 | 3124.81 | 447.2 | |

20 | 266.4 | 120 | 14216.96 | 1095.6 | |

M | 0.75 | ||||

r | 0.985478 |

= **0.985**

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2
3
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