Homework ReviewIntroductionResidual AnalysisNonlinear RegressionOutliers and Influential PointsAssignmentResidual Analysis and OutliersLecture 48Sections 13.4 - 13.5Robb T. KoetherHampden-Sydney CollegeWed, Apr 7, 2010Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 1 / 33Outline1Homework Review2Introduction3Residual Analysis4Nonlinear Regression5Outliers and Influential Points6AssignmentRobb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 2 / 33Outline1Homework Review2Introduction3Residual Analysis4Nonlinear Regression5Outliers and Influential Points6AssignmentRobb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 3 / 33Homework ReviewExercise 13.4, page 821.The following data represent trends in cigarette consumption percapita (in hundreds) and lung cancer mortality (per 100, 000) forCanadian males:Cigarette Consumption (x) 11.8 12.5 15.7 19.2 21.9 23.3Mortality Rate (y ) 10.4 16.5 22.9 26.6 33.8 42.8(b) Give the equation of the least squares regression line of y =mortality rate on x = cigarette consumption.IEnter the x values into list L1and the y values into L2.Then use LinReg(a+bx) L1,L2,Y1to get the regression line.The line isˆy = −15.474 + 2.35x.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 4 / 33Homework ReviewExercise 13.4, page 821.The following data represent trends in cigarette consumption percapita (in hundreds) and lung cancer mortality (per 100, 000) forCanadian males:I ICigarette Consumption (x) 11.8 12.5 15.7 19.2 21.9 23.3Mortality Rate (y ) 10.4 16.5 22.9 26.6 33.8 42.8(b) Give the equation of the least squares regression line of y =mortality rate on x = cigarette consumption.IEnter the x values into list L1and the y values into L2.Then use LinReg(a+bx) L1,L2,Y1to get the regression line.The line isˆy = −15.474 + 2.35x.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 4 / 33Homework ReviewExercise 13.4, page 821.The following data represent trends in cigarette consumption percapita (in hundreds) and lung cancer mortality (per 100, 000) forCanadian males:I ICigarette Consumption (x) 11.8 12.5 15.7 19.2 21.9 23.3Mortality Rate (y ) 10.4 16.5 22.9 26.6 33.8 42.8(b) Give the equation of the least squares regression line of y =mortality rate on x = cigarette consumption.IEnter the x values into list L1and the y values into L2.Then use LinReg(a+bx) L1,L2,Y1to get the regression line.The line isˆy = −15.474 + 2.35x.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 4 / 33Homework ReviewExercise 13.4, page 821.The following data represent trends in cigarette consumption percapita (in hundreds) and lung cancer mortality (per 100, 000) forCanadian males:I ICigarette Consumption (x) 11.8 12.5 15.7 19.2 21.9 23.3Mortality Rate (y ) 10.4 16.5 22.9 26.6 33.8 42.8(b) Give the equation of the least squares regression line of y =mortality rate on x = cigarette consumption.IEnter the x values into list L1and the y values into L2.Then use LinReg(a+bx) L1,L2,Y1to get the regression line.The line isˆy = −15.474 + 2.35x.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 4 / 33Homework ReviewExercise 13.4, page 821.I I(c) Interpret the slope of the regression line. (Be specific.)Mathematical interpretation: The slope, 2.35, means that if xincreases by 1, then y increases by 2.35.Everyday interpretation: The mortality rate increases by 2.35deaths per 100, 000 people for every additional 100cigarettes consumed.(d) Use the least squares regression equation to predict the lungcancer mortality rate when the cigarette consumption per capita is2000.If cigarette consumption were 2000, the model predicts that themortality rate would beˆy(20) = −15.474 + 2.35(20) = 31.6lung cancer deaths per 100, 000 people.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 5 / 33Homework ReviewExercise 13.4, page 821.(c) Interpret the slope of the regression line. (Be specific.)Mathematical interpretation: The slope, 2.35, means that if xincreases by 1, then y increases by 2.35.Everyday interpretation: The mortality rate increases by 2.35deaths per 100, 000 people for every additional 100cigarettes consumed.(d) Use the least squares regression equation to predict the lungcancer mortality rate when the cigarette consumption per capita is2000.If cigarette consumption were 2000, the model predicts that themortality rate would beˆy(20) = −15.474 + 2.35(20) = 31.6lung cancer deaths per 100, 000 people.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 5 / 33Homework ReviewExercise 13.4, page 821.(c) Interpret the slope of the regression line. (Be specific.)Mathematical interpretation: The slope, 2.35, means that if xincreases by 1, then y increases by 2.35.Everyday interpretation: The mortality rate increases by 2.35deaths per 100, 000 people for every additional 100cigarettes consumed.(d) Use the least squares regression equation to predict the lungcancer mortality rate when the cigarette consumption per capita is2000.If cigarette consumption were 2000, the model predicts that themortality rate would beˆy(20) = −15.474 + 2.35(20) = 31.6lung cancer deaths per 100, 000 people.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 5 / 33Homework ReviewExercise 13.4, page 821.(c) Interpret the slope of the regression line. (Be specific.)Mathematical interpretation: The slope, 2.35, means that if xincreases by 1, then y increases by 2.35.Everyday interpretation: The mortality rate increases by 2.35deaths per 100, 000 people for every additional 100cigarettes consumed.(d) Use the least squares regression equation to predict the lungcancer mortality rate when the cigarette consumption per capita is2000.If cigarette consumption were 2000, the model predicts that themortality rate would beˆy(20) = −15.474 + 2.35(20) = 31.6lung cancer deaths per 100, 000 people.Robb T. Koether (Hampden-Sydney College) Residual Analysis and Outliers Wed, Apr 7, 2010 5 / 33Homework ReviewExercise 13.4, page 821.(c) Interpret the slope of the regression line. (Be specific.)Mathematical interpretation: The slope, 2.35, means that if xincreases by 1, then y increases by 2.35.Everyday interpretation: The mortality rate increases by 2.35deaths per
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