In an area of russia 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 as follows:

rain fall, x 13.1 11.4 16.0 15.1 21.4 12.9 9.6 18.2 18.6
yield, y 48.5 44.2 56.8 80.4 47.2 29.9 74.0 74.0 76.8
the equation of the line of least squares is given as ŷ = -9.12+ 4.38x. what would be the expected number of inches of rain if the yield is 60 bushels of wheat per acre?
(a) 11.62 (b) 64.74 c) 253.68 (d) 15.78 ans: c plug y= 60 and solve for x.

Option d.

Step-by-step explanation:

The equation of the line of least squares is given as

where is the yield of wheat (bushels per acre) and x is the rainfall (in inches).

We need to find the expected number of inches of rain if the yield is 60 bushels of wheat per acre.

Substitute in the given equation.

Add 9.12 on both sides.

Divide both sides by 4.38.

The expected number of inches of rain is 15.78.

Therefore, the correct option is d.

just needed some points but try socratic

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.