Answered: a. Explain what the trend shows. Choose…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 8P: Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different...

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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=56.373−0.466(Pct. Smoke-free)

405060708090010203040Pct. Smoke-freePct. Smokers

A scatterplot has a horizontal axis labeled “Percent Smoke-free” from 40 to 90 in intervals of 10 and a vertical axis labeled “Percent Smokers” from 0 to 40 in intervals of 10. There is a straight line, falling from left right, passing through approximate points (50, 34) and (80, 20). Of the 50 points plotted, most follow the path of the line between horizontal coordinates 50 and 80 with a vertical spread of about 10, with an approximately equal number of points above and below the line. There are no significant outliers.

a. Explain what the trend shows. Choose the correct answer below.

Approximately

47%

of the people in Country A smoke.

Approximately

47%

of the people in Country A do not smoke.

The lower the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be.

The higher the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be.

Your answer is correct.

b. 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.

nothing%

(Round to the nearest integer as needed.)

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