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). Which is the best predicted value for y given x = 7.1? Assume that the variables x and y have a significant correlation.
Rainfall (in inches)(x): 10.5,8.8,13.4,12.5,18.8,10.3,7.0,15.6,16.0

Yield (bushels per acre) (y): 50.5,46.2,58.8,59.0,82.4,49.2,31.9,76.0,78.8

A. 35.4, B. 35.2, C. 35.7, D. 35.9

Answer 1

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.