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 Milk = 40.8 – 1.1 (Age). 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?

A cow of 5 years is predicted to produce 5.5 fewer gallons per week

B A cow of 5 years is predicted to produce 5.5 more gallons per week

c) A cow of 5 years is predicted to produce 1.1 fewer gallons per week

D) A cow of 5 years is predicted to produce 1.1 more gallons per week

A cow of 5 years and a cow of 10 years are both predicted to produce 40.8 gallons per week

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let , where is the age of the dairy cow, measured in years, and is the predicted milk production, measured in gallons per week.

Besides, we consider and , such that , we define the difference between predicted milk productions () below:

(1)

If we know that and , then the difference between predicted milk productions is:

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

answer: options?

step-by-step explanation:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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