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. 40- e 30- Predicted Pct. Smokers = 49.982 - 0.378(Pct. Smoke-free) 20- 10- 40 50 60 70 80 90 Pct. Smoke-free a. Explain what the trend shows. Choose the correct answer below. O A. Approximately 38% of the people in Country A smoke. O B. The lower the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be. OC. The higher the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be. O D. Approximately 38% of the people in Country A do not smoke. 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. % (Round to the nearest integer as needed.) Pct. Smokers

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The figure presents a scatterplot with a regression line. The equation of the regression line is: 

Predicted Pct. Smokers = 49.982 – 0.378(Pct. Smoke-free)

The scatterplot visualizes data from 50 regions in Country A. The predictor variable is the percentage of smoke-free homes, and the response variable is the percentage of high school students who smoke. Each point in the scatterplot represents a region, with the predictor values on the horizontal axis (Pct. Smoke-free) and the response values on the vertical axis (Pct. Smokers). The red regression line indicates the trend between the two variables.

a. Explanation of the trend:
The task is to choose the correct interpretation of the trend. The options are:

A. Approximately 38% of the people in Country A smoke.
B. The lower the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be.
C. The higher the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be.
D. Approximately 38% of the people in Country A do not smoke.

b. Prediction using the regression equation:
Using the equation, predict the percentage of high school students who smoke, given that 70% of the homes are smoke-free. Use 70 for the calculation, not 0.70.

Predicted percentage: \( \text{(Round to the nearest integer as needed.)} \)
Transcribed Image Text:The figure presents a scatterplot with a regression line. The equation of the regression line is: Predicted Pct. Smokers = 49.982 – 0.378(Pct. Smoke-free) The scatterplot visualizes data from 50 regions in Country A. The predictor variable is the percentage of smoke-free homes, and the response variable is the percentage of high school students who smoke. Each point in the scatterplot represents a region, with the predictor values on the horizontal axis (Pct. Smoke-free) and the response values on the vertical axis (Pct. Smokers). The red regression line indicates the trend between the two variables. a. Explanation of the trend: The task is to choose the correct interpretation of the trend. The options are: A. Approximately 38% of the people in Country A smoke. B. The lower the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be. C. The higher the percentage of smoke-free homes in a region, the lower the percentage of high school students who smoke tends to be. D. Approximately 38% of the people in Country A do not smoke. b. Prediction using the regression equation: Using the equation, predict the percentage of high school students who smoke, given that 70% of the homes are smoke-free. Use 70 for the calculation, not 0.70. Predicted percentage: \( \text{(Round to the nearest integer as needed.)} \)
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