The following data, compiled by the superintendent of schools in a large metropolitan area, shows the average SAT verbal scores of high school seniors during the 5 years since the district implemented its "back-to-basics" program. Determine the equation of the least-squares line for these data.Use the result obtained to predict the average SAT verbal score of high school seniors 2 years from now (x = 7).Please round your answer to the nearest whole number.
A)y = - 2.9x + 450; 426
B)y = - 2.9x + 450; 416
C)y = - 2.8x + 440; 420
D)y = - 2.8x + 440; 422

Question

The following data, compiled by the superintendent of schools in a large metropolitan area, shows the average SAT verbal scores of high school seniors during the 5 years since the district implemented its "back-to-basics" program.  Determine the equation of the least-squares line for these data.Use the result obtained to predict the average SAT verbal score of high school seniors 2 years from now (x = 7).Please round your answer to the nearest whole number.
A)y = - 2.9x + 450; 426 
B)y = - 2.9x + 450; 416 
C)y = - 2.8x + 440; 420 
D)y = - 2.8x + 440; 422

Quizplus · Accepted Answer

The equation of the least-squares line is y = -2.8x + 440. To predict the average SAT verbal score of high school seniors 2 years from now (x = 7), we substitute x = 7 into the equation to get y = -2.8(7) + 440 = 420. Therefore, the predicted average SAT verbal score 2 years from now is 420.

The Following Data, Compiled by the Superintendent of Schools in a Large