a gym franchise was considering a television marketing campaign to increase its membership. the franchises…

a gym franchise was considering a television marketing campaign to increase its membership. the franchises market researchers wanted to get a better sense of the television and exercise habits of the gyms target demographic. to begin, the market researchers surveyed some of the current members about how many hours they had spent watching television and exercising last month. using the survey responses, the researchers compared the number of hours of television watched, x, to the number of hours of exercise, y, for each member. the correct least - squares regression line for the data set is: y = - 2.137x + 61.966. if a gym member had watched one additional hour of television last month, the least squares regression line predicts that they would have spent hours less exercising that month. use it to complete the following sentence:

a gym franchise was considering a television marketing campaign to increase its membership. the franchises market researchers wanted to get a better sense of the television and exercise habits of the gyms target demographic. to begin, the market researchers surveyed some of the current members about how many hours they had spent watching television and exercising last month. using the survey responses, the researchers compared the number of hours of television watched, x, to the number of hours of exercise, y, for each member. the correct least - squares regression line for the data set is: y = - 2.137x + 61.966. if a gym member had watched one additional hour of television last month, the least squares regression line predicts that they would have spent hours less exercising that month. use it to complete the following sentence:

Answer

Explanation:

Step1: Analyze the regression - line equation

The regression line is $y=-2.137x + 61.966$, where $x$ is the number of hours of television watched and $y$ is the number of hours of exercise.

Step2: Interpret the slope

The slope of the regression line is $- 2.137$. In the context of regression, the slope represents the change in the dependent variable ($y$, hours of exercise) for a one - unit change in the independent variable ($x$, hours of television watched).

Answer:

If a gym member had watched one additional hour of television last month, the least - squares regression line predicts that they would have spent 2.137 hours less exercising that month.