Question

Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk produced, in gallons per week. The least-squares regression line produced from a random sample is . Based on the model, what is the difference in predicted amounts of milk produced between a cow of 5 years and a cow of 10 years

Answer 1

Answer B

Explanation:

The difference of 5 years produces a 5.5 gallon per week difference in favor of the younger cow.

Answer 2

Complete question :

Dairy farmers are aware there is often a linear relationship between age, in years, of a dairy cow in the amount of milk produced, in gallons per week. The least squares regression line produced from a random sample is milk=40.8-1.1(Age). Based on the model, what is the difference in predicted amounts of milk produce between a cow of five years in a cow of 10 years?

Answer:

A cow of five years is predicted to produce 5.5 more gallons of milk per week.

Explanation:

Given the regression model :

milk=40.8-1.1(Age)

Milk produced by 5 year old cow using the model :

Milk produced = 40.8 - 1.1(5)

Milk produced = 40.8 - 5.5

Milk produced = 35.3

Milk produced by 10 year old cow using the model :

Milk produced = 40.8 - 1.1(10)

Milk produced = 40.8 - 11

Milk produced = 29.8

Difference in volume of milk produced :

Age 5 milk producrion- Age 10 milk production :

35.3 - 29.8

= 5.5