Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Read the following description of a data set.\newlineA gym franchise was considering a television marketing campaign to increase its membership. The franchise's market researchers wanted to get a better sense of the television and exercise habits of the gym's 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, xx, to the number of hours of exercise, yy, for each member.The least squares regression line of this data set is:y=1.636x+89.046y = -1.636x + 89.046\newlineComplete the following sentence:\newlineIf 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.

Full solution

Q. Read the following description of a data set.\newlineA gym franchise was considering a television marketing campaign to increase its membership. The franchise's market researchers wanted to get a better sense of the television and exercise habits of the gym's 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, xx, to the number of hours of exercise, yy, for each member.The least squares regression line of this data set is:y=1.636x+89.046y = -1.636x + 89.046\newlineComplete the following sentence:\newlineIf 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.
  1. Identify slope: Identify the slope of the regression line from the equation y=1.636x+89.046y = -1.636x + 89.046. The slope is 1.636-1.636.
  2. Interpret slope: Interpret the slope: The slope of 1.636-1.636 means that for each additional hour of television watched, the number of hours spent exercising decreases by 1.6361.636 hours.

More problems from Interpret regression lines