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.
Step-by-step 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
