In: Statistics and Probability
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
from above
least-squares regression equation : ŷ =2,011x−3,755,493
option A is correct