Question 24 The data in the accompanying table represent the

Question 24

_{The data in the accompanying table represent the population of a certain country every 10 years for the years 1900-2000. An ecologist is interested in finding an equation that describes the population of the country over time. Complete parts (a) through (f) below}

_Year, x 1900,1910,1920,1930.1940,1950

Population, y 76,212, 92,228, 104,021, 123,202,   132,164, 151,325

Year,x 1960, 1970, 1980, 1990, 2000

Population, y 179,233,     203,302,     226,542,   248,709,   281,421

_____________________________________________

_{(A)   Determine the least-squares regression equation, treating year as the explanatory variable. Choose the correct answer below.}

_{a. y= 2,024x -1,547,901}

_{b. y= 1,236,375x}

Solution

(A)

_{c. y=} 2,024x