1: The number years of formal education Father Mother 5. The data shown in the accompanying...

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1: The number years of formal education Father Mother 5. The data shown in the accompanying table are the number of years of formal education of the fathers and mothers of a sample of 29 statistics students at a small community college in an area with many recent immigrants. The scatterplot (not shown) suggests a linear trend. Complete parts a through c. 1 Click the icon to view the data table for the number years of formal education. a. Find and report the regression equation for predicting the mother's years of education from the father's. Then find the predicted number of years for the mother if the father has 12 years of education, and find the predicted number of years for a mother if the father has 4 years of education. State the regression equation for predicting the mother's years of education from the father's. 3 3 11 14 Predicted Mother's Education = + Father's Education 5 6 (Round to two decimal places as needed.) 10 10 9 15 1 4 8 8 years 6 4 Using the found regression line, find the predicted number of years for the mother if the father has 12 years of education. (Round to two decimal places as needed.) 11 7 0 11 Using the found regression line, find the predicted number of years for the mother if the father has 4 years of education. 8 11 7 7 8 8 6 6 1627L 32FF 230 + 10 7 4 7 13 3 years (Round to two decimal places as needed.) b. Find and report the regression equation for predicting the father's years of education from the mother's. Then find the predicted number of years for the father if the mother has 12 years of education, and find the predicted number of years for the father if the mother has 4 years of education. State the regression equation for predicting the father's years of education from the mother's. 11 9 Predicted Father's Education = Mother's Education 7 (Round to two decimal places as needed.) 2 12 13 Using the found regression line, find the predicted number of years for the father if the mother has 12 years of education. 14 11 11 11 years 11 13 12 18 13 8 0 4 6 (Round to two decimal places as needed.) Using the found regression line, find the predicted number of years for the father if the mother has 4 years of education. years (Round to two decimal places as needed.) c. What phenomenon does this demonstrate? Explain. Choose the correct answer below. A. Regression toward the mean because the regression line is used to make predictions beyond the range of the data. B. Extrapolation because the regression line is used to make predictions beyond the range of the data. C. Extrapolation because values for the predictor variable that are far from the mean lead to responses that are closer to the mean D. Regression toward the mean because values for the predictor variable that are far from the mean lead to responses that are closer to the mean 1: The number years of formal education Father Mother 5. The data shown in the accompanying table are the number of years of formal education of the fathers and mothers of a sample of 29 statistics students at a small community college in an area with many recent immigrants. The scatterplot (not shown) suggests a linear trend. Complete parts a through c. 1 Click the icon to view the data table for the number years of formal education. a. Find and report the regression equation for predicting the mother's years of education from the father's. Then find the predicted number of years for the mother if the father has 12 years of education, and find the predicted number of years for a mother if the father has 4 years of education. State the regression equation for predicting the mother's years of education from the father's. 3 3 11 14 Predicted Mother's Education = + Father's Education 5 6 (Round to two decimal places as needed.) 10 10 9 15 1 4 8 8 years 6 4 Using the found regression line, find the predicted number of years for the mother if the father has 12 years of education. (Round to two decimal places as needed.) 11 7 0 11 Using the found regression line, find the predicted number of years for the mother if the father has 4 years of education. 8 11 7 7 8 8 6 6 1627L 32FF 230 + 10 7 4 7 13 3 years (Round to two decimal places as needed.) b. Find and report the regression equation for predicting the father's years of education from the mother's. Then find the predicted number of years for the father if the mother has 12 years of education, and find the predicted number of years for the father if the mother has 4 years of education. State the regression equation for predicting the father's years of education from the mother's. 11 9 Predicted Father's Education = Mother's Education 7 (Round to two decimal places as needed.) 2 12 13 Using the found regression line, find the predicted number of years for the father if the mother has 12 years of education. 14 11 11 11 years 11 13 12 18 13 8 0 4 6 (Round to two decimal places as needed.) Using the found regression line, find the predicted number of years for the father if the mother has 4 years of education. years (Round to two decimal places as needed.) c. What phenomenon does this demonstrate? Explain. Choose the correct answer below. A. Regression toward the mean because the regression line is used to make predictions beyond the range of the data. B. Extrapolation because the regression line is used to make predictions beyond the range of the data. C. Extrapolation because values for the predictor variable that are far from the mean lead to responses that are closer to the mean D. Regression toward the mean because values for the predictor variable that are far from the mean lead to responses that are closer to the mean