The average life expectancy in the United States, , has been
rising steadily over the past few decades, as shown in the table below.
Let be the number of years since 1920, (so represents
the year 1920).
Year | 1920 | 1930 | 1940 | 1950 | 1960 | 1970 | 1980 | 1990 |
Life expectancy | 55.4 | 58.7 | 60.7 | 62.8 | 67 | 69 | 72.4 | 74.7 |
(a) Find the equation of the regression line.
Average life expectancy, .
Note: this is a function of (not ).
(b) Estimate the average life expectancy in the United States in the year 1952 according to the linear model in part (a).
Average life expectancy in 1952 .
You can earn partial credit on this problem.