The size of the average U.S.farm has been growing steadily over the years.The following data, obtained from the U.S.Department of Agriculture, gives the size of the average farm y (in acres) from 1940 through 1991. (Here, x = 0 corresponds to the beginning of the year 1940.) Find the equation of the least-squares line for these data.Use the equation found to estimate the size of the average farm in the year 2005.
A)y = 8.59x + 139; 697 acres
B)y = 6.26x + 167; 574 acres
C)y = 7.4x + 139; 620 acres
D)y = 7.4x + 139; 14,976 acres

Question

The size of the average U.S.farm has been growing steadily over the years.The following data, obtained from the U.S.Department of Agriculture, gives the size of the average farm y (in acres) from 1940 through 1991.  (Here, x = 0 corresponds to the beginning of the year 1940.) Find the equation of the least-squares line for these data.Use the equation found to estimate the size of the average farm in the year 2005.
A)y = 8.59x + 139; 697 acres 
B)y = 6.26x + 167; 574 acres 
C)y = 7.4x + 139; 620 acres 
D)y = 7.4x + 139; 14,976 acres

Quizplus · Accepted Answer

The Answer of The size of the average U.S.farm has been growing steadily over the years.The following data, obtained from the U.S.Department of Agriculture, gives the size of the average farm y (in acres) from 1940 through 1991.  (Here, x = 0 corresponds to the beginning of the year 1940.) Find the equation of the least-squares line for these data.Use the equation found to estimate the size of the average farm in the year 2005.
A)y = 8.59x + 139; 697 acres 
B)y = 6.26x + 167; 574 acres 
C)y = 7.4x + 139; 620 acres 
D)y = 7.4x + 139; 14,976 acres

The Size of the Average U