Based on data retrieved from http://www.indexmundi.com ...... the following char

Question

Based on data retrieved from http://www.indexmundi.com ...... the following chart of U.S. life expectancy for males has been prepared. S. Male Life Expectancy at Birth y 0.2052x 330S 10.98089 1950 1960 1970 1980 1990 2000 2010 2020 Birth Year The regression line is y-0.2052x 5336.5, where x- birth year and y Us. life male expectancy, in years. The value ofr is 0.9809. (a) Use the regression line to estimate the US. life expectancy of a male baby bom in 1970, to the nearest tenth year. Show some work. ofa male baby born in 2020, to the nearest tenth ofa year. Show some work. (c) What is the slope of the regression line and what are the units of measurement? In a sentence, interpret what the slope is telling us, in the context of this real-world application. (d) What is the value of the correlation coefncient, r? Also, interpret its value: Looking at the graph and the size ofr, do you judge the strength of the linear relationship to be very strong, moderately strong, somewhat weak, or very weak?

Explanation / Answer

y = 0.2052x - 336.5 ; x= birth year ; y = US life expectancy

a) x = 1970 ; y = 0.2052*1970 - 336.5 = 67.744 = 67.7 years

b) x = 2020 ; y = 0.2052*2020 - 336.5 = 78.004 = 78 yrs

c) slope = 0.2052 life xepectancy in yrs per birth year

It means with every passing year the life ex[ectnaxy increasees by 0.2052 yrs

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