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