The number of people living on American farms has declined steadily during the p

Question

The number of people living on American farms has declined steadily during the past century. Here are data on the farm population (millions of persons) from 1935 to 1980: Year 1935 1940 1945 1950 1955 1960 1965 1970 1975 1980 Population 32.1 30.5 27.4 26.0 22.1 18.6 15.4 12.7 11.9 10.2 Find the least squares regression equation of farm population on year. Hint: Use a computer or a graphing calculator to find equation. Question 14 options: Population = 969.5 - 0.484*Year Population = 1055 - 0.529*Year Population = 1167 - 0.587*Year Population = 1204 - 0.606*Year

Explanation / Answer

We use here r-software .

R-commands are-

Population=c(32.1 ,30.5, 27.4, 26.0, 22.1, 18.6, 15.4, 12.7, 11.9, 10.2 )
Year=seq(1935,1980,by=5)

lm(Population~Year)

R output is ,

Call:
lm(formula = Population ~ Year)

Coefficients:
(Intercept) Year
1055.4364 -0.5286

Therefore, least squares regression equation of farm population on year is ,

Population = 1055 - 0.529*Year

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