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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

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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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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