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).

Year19201930194019501960197019801990
Life expectancy55.458.760.762.8676972.474.7

(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 .

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