An agronomist used four test plots to determine the relationship between the wheat yield y (in bushels per acre)and the amount of fertilizer x (in pounds per acre).The results are shown in the table.

(I)Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the data.
(II)Estimate the yield for a fertilizer application of 160 pounds per acre.

A) (
I) ; (I
I) 39.10
B) (
I) ; (I
I) 45.90
C) (
I) ; (I
I) 44.18
D) (
I) ; (I
I) 42.32
E) (
I) ; (I
I)54.94

Question

An agronomist used four test plots to determine the relationship between the wheat yield y (in bushels per acre)and the amount of fertilizer x (in pounds per acre).The results are shown in the table. ​

​(I)Use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the data.
​(II)Estimate the yield for a fertilizer application of 160 pounds per acre.
​
A) (
I) ; (I
I) 39.10 
B) (
I) ; (I
I) 45.90 
C) (
I) ; (I
I) 44.18 
D) (
I) ; (I
I) 42.32 
E) (
I) ; (I
I)54.94

Quizplus · Accepted Answer

Using a spreadsheet program to find the least squares regression line for the data, we get the equation of the line as y = 35.54 + 0.203x. To estimate the yield for a fertilizer application of 160 pounds per acre, we substitute x = 160 in the equation and get y = 44.18 bushels per acre. Therefore, the best choice is (C).

An Agronomist Used Four Test Plots to Determine the Relationship