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The manufacturer of Anthony Big’s exercise equipment is interested in the relati

ID: 3179846 • Letter: T

Question

The manufacturer of Anthony Big’s exercise equipment is interested in the relationship between the number of months (X) since the equipment was purchased by a customer and the number of hours (Y) the customer used the equipment last week. The result was the regression equation Y = 12 - 0.5X. The number 0.5 in the equation means that the average customer a. used the equipment for 30 minutes last week. b. who has owned the equipment an extra month used the equipment 30 minutes less last week than the average customer who has owned it one month less. c. who just bought the equipment used it 30 minutes last week.

Explanation / Answer

Correct option:

b: who owned the equipment an extra month used the equipment 30 minutes less last eek than the average customer who owned it one month less.

EXPLANATION;

Given:

Y = 12 - 0.5 X.

where,

X = number of months since the equipment was purchased by a customer

Y = number of hours the customer used the equipment last week.

To find the significance of the slope = - 0.5:

By definition of slope of the regression line, If the number of months since the equipment was purchased by a customer decreases by 1 hour, we predict the number of hours the customer used the equipment last week will increase by 0.5 hours.