e expectancy S, L, nas Deen isinng steadily ce 1920, (so t = 0 represents the year 1920). Year 1920 1930 1940 1950 196 Life expectancy 54.6 57.8 62.3 64.5 66.= the regression line. 1, L(t) = of t (not x). e life expectancy in the United States in the year 1959 according t

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The average life expectancy in the United States, L, has been rising steadily over the past few decades, as shown in the table below. Let t be
the number of years since 1920, (so t
O represents the year 1920).
Year
1920 1930 1940 1950 1960 1970 19801990
Life expectancy 54.6 57.8 62.3 64.5 66.3 69.6 73.6 75.7
(a) Find the equation of the regression line.
Average life expectancy, L(t) =
Note: this is a function of t (not x).
(b) Estimate the average life expectancy in the United States in the year 1959 according to the linear model in part (a).
Average life expectancy in 1959
Transcribed Image Text:The average life expectancy in the United States, L, has been rising steadily over the past few decades, as shown in the table below. Let t be the number of years since 1920, (so t O represents the year 1920). Year 1920 1930 1940 1950 1960 1970 19801990 Life expectancy 54.6 57.8 62.3 64.5 66.3 69.6 73.6 75.7 (a) Find the equation of the regression line. Average life expectancy, L(t) = Note: this is a function of t (not x). (b) Estimate the average life expectancy in the United States in the year 1959 according to the linear model in part (a). Average life expectancy in 1959
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