The 2016 American National Election Study asked respondents to rate how warmly or coldly they felt about transgender people on a feeling thermometer scale from 0 to 100 degrees. In the sample of 3,575 respondents, a regression of age (measured in years) on temperature ratings for transgender people shows that the relationship can be represented by the following equation: yˆ =

62.9 − 0.15x

a. Identify the slope and the intercept in the regression equation.

b. Explain in words what the intercept means. Is this intercept useful?

c. Explain in words what the slope means. What does the slope tell us about the direction of the relationship?

d. Calculate the predicted temperature rating for a person who is thirty-two years old. Calculate the predicted rating for a person who is seventy-one years old.

e. What is the difference between the predicted temperature ratings for a thirty-two-year-old and a seventy-one-year-old?