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

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AyBaba7 AyBaba7 · Answer 1 · 2020-03-10T08:18:36+01:00

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.