Question

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

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.)

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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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