Question

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The data for a 9 year period is given in the table. The equation of the line of best fit for this data is y = 47.3 + 0.78x. How many bushels of wheat per acre can be predicted if it is expected that there will be 17 inches of rain?

Answer 1

Assuming x is the rainfall, you simply plug in 17 for x and solve for y.

47.3 + .78(17)
= 47.3 + 13.26
= 60.56

Answer 2

Explanation:

Given: Data is in terms of rainfall (in inches) and Yield of wheat (bushels

per acre)

Equation of Best fit line for 9 year of data is Y = 47.3 + 0.78X

To find: Bushels of wheat per acre when 17 inches of rain expected.

Given problem is of Regression analysis as we are given with best fit line.

From the Equation of Best fir line we can conclude that it is equation of line Y on X because when put value of X we get value of Y.

From Given Data, let say X be Rainfall length and Y be Yield of wheat.

So, to find the Bushels of wheat (yield) when 17 inches of rainfall is expected.

we put value X = 17 in given equation.

⇒ Y = 47.3 + 0.78 × ( 17 )

⇒ Y = 47.3 + 13.26

⇒ Y = 60.56

Therefore, 60.56 bushels of wheat per acre can be predicted if 17 inches of rain is expected.