The figure shows a scatterplot with the regression line The

The figure shows a scatterplot with the regression line. The equation of the regression line is shown below. The data are for the 50 regions in Country A. The predictor is the percentage of smoke-free homes. The response is the percentage of high school students who smoke. Complete parts a and b. Predicted Pct. Smokers = 51.718 - 0.399(Pct. Smoke-free) Explain what the trend shows. Choose the correct answer below. The lower the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be. Approximately 40% of the people in Country A do not smoke. The higher the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be. Approximately 40% of the people in Country A smoke. Use the regression equation to predict the percentage of students in high school who smoke: assuming that there are 70% smoke-free homes in the region. Use 70 not 0.70. %(Round to the nearest integer as needed.)

Solution

a.A

b.Predicted percentage of high school students who smoke=43.838-0.287*(percentage of smoke free homes)

=43.838-0.287*70=23.748