Question

The table below shows the life expectancy for an individual born in the United States in certain years.

Year of Birth	Life Expectancy
1930	59.7
1940	62.9
1950	70.2
1965	69.7
1973	71.4
1982	74.5
1987	75
1992	75.7
2010	78.7

Find the estimated life expectancy for an individual born in 1965 and for one born in 1992. (Round your answers to one decimal place.)

Answer 1

We need to find the linear regression equation as follows:

y= A + Bx

Where B=Sxy/Sxx and A= y-bar - B*x-bar

So the regression equation is:

y= -377.243 + 0.227x

Putting x= 1965 in the above equation we find y=69.8

Putting x= 1992 in the above equation we find y= 75.9

So the required predicted values of life expectancy are 69.8 and 75.9 respectively.