Question

In: Statistics and Probability

The data in the accompanying table represent the population of a certain country every 10 years...

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.

Year, x   Population, y
1900   79,212   
1910   92,228   
1920   104,021   
1930   123,202   
1940   132,164   
1950   151,325   
1960   179,323
1970   203,302
1980   226,542
1990   248,709
2000   281,421

​(a) Determine the​ least-squares regression​ equation, treating year as the explanatory variable. Choose the correct answer below.

A.

ŷ =2,011x−3,755,493

B.

ŷ =1,236,362x−3,755,493

C.

ŷ =−3,755,493x+2,011

D.

ŷ =2,011x−1,521,037

Solutions

Expert Solution

from above

least-squares regression​ equation : ŷ =2,011x−3,755,493

option A is correct


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