Residual Analysis and Outliers Lecture 48 Sections 13 4 13 5 Robb T Koether Hampden Sydney College Wed Apr 7 2010 Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 1 33 Outline 1 Homework Review 2 Introduction 3 Residual Analysis 4 Nonlinear Regression 5 Outliers and Influential Points 6 Assignment Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 2 33 Outline 1 Homework Review 2 Introduction 3 Residual Analysis 4 Nonlinear Regression 5 Outliers and Influential Points 6 Assignment Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 3 33 Homework Review Exercise 13 4 page 821 The following data represent trends in cigarette consumption per capita in hundreds and lung cancer mortality per 100 000 for Canadian males Cigarette Consumption x Mortality Rate y 11 8 10 4 12 5 16 5 15 7 22 9 19 2 26 6 21 9 33 8 23 3 42 8 b Give the equation of the least squares regression line of y mortality rate on x cigarette consumption Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 4 33 Homework Review Exercise 13 4 page 821 The following data represent trends in cigarette consumption per capita in hundreds and lung cancer mortality per 100 000 for Canadian males I Cigarette Consumption x Mortality Rate y I 11 8 10 4 12 5 16 5 15 7 22 9 19 2 26 6 21 9 33 8 23 3 42 8 b Give the equation of the least squares regression line of y mortality rate on x cigarette consumption I Enter the x values into list L1 and the y values into L2 Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 4 33 Homework Review Exercise 13 4 page 821 The following data represent trends in cigarette consumption per capita in hundreds and lung cancer mortality per 100 000 for Canadian males I Cigarette Consumption x Mortality Rate y I 11 8 10 4 12 5 16 5 15 7 22 9 19 2 26 6 21 9 33 8 23 3 42 8 b Give the equation of the least squares regression line of y mortality rate on x cigarette consumption I Enter the x values into list L1 and the y values into L2 Then use LinReg a bx L1 L2 Y1 to get the regression line Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 4 33 Homework Review Exercise 13 4 page 821 The following data represent trends in cigarette consumption per capita in hundreds and lung cancer mortality per 100 000 for Canadian males I Cigarette Consumption x Mortality Rate y I 11 8 10 4 12 5 16 5 15 7 22 9 19 2 26 6 21 9 33 8 23 3 42 8 b Give the equation of the least squares regression line of y mortality rate on x cigarette consumption I Enter the x values into list L1 and the y values into L2 Then use LinReg a bx L1 L2 Y1 to get the regression line The line is y 15 474 2 35x Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 4 33 Homework Review Exercise 13 4 page 821 I I Interpret the slope of the regression line Be specific c Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 5 33 Homework Review Exercise 13 4 page 821 c Interpret the slope of the regression line Be specific Mathematical interpretation The slope 2 35 means that if x increases by 1 then y increases by 2 35 Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 5 33 Homework Review Exercise 13 4 page 821 c Interpret the slope of the regression line Be specific Mathematical interpretation The slope 2 35 means that if x increases by 1 then y increases by 2 35 Everyday interpretation The mortality rate increases by 2 35 deaths per 100 000 people for every additional 100 cigarettes consumed Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 5 33 Homework Review Exercise 13 4 page 821 c Interpret the slope of the regression line Be specific Mathematical interpretation The slope 2 35 means that if x increases by 1 then y increases by 2 35 Everyday interpretation The mortality rate increases by 2 35 deaths per 100 000 people for every additional 100 cigarettes consumed d Use the least squares regression equation to predict the lung cancer mortality rate when the cigarette consumption per capita is 2000 Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 5 33 Homework Review Exercise 13 4 page 821 c Interpret the slope of the regression line Be specific Mathematical interpretation The slope 2 35 means that if x increases by 1 then y increases by 2 35 Everyday interpretation The mortality rate increases by 2 35 deaths per 100 000 people for every additional 100 cigarettes consumed d Use the least squares regression equation to predict the lung cancer mortality rate when the cigarette consumption per capita is 2000 If cigarette consumption were 2000 the model predicts that the mortality rate would be y 20 15 474 2 35 20 31 6 lung cancer deaths per 100 000 people Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 5 33 Outline 1 Homework Review 2 Introduction 3 Residual Analysis 4 Nonlinear Regression 5 Outliers and Influential Points 6 Assignment Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 6 33 Introduction How do we know that a linear regression model is the best choice Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 7 33 Introduction How do we know that a linear regression model is the best choice What other types of regression are there Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 7 33 Introduction How do we know that a linear regression model is the best choice What other types of regression are there There are many other types Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 7 33 Introduction How do we know that a linear regression model is the best choice What other types of regression are there There are many other types How many would you like Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 7 33 Introduction How do we know that a linear regression model is the best choice What other types of regression are there There are many other types How many would you like The linear model is by far the simplest but it is not the only choice Robb T Koether Hampden Sydney College Residual Analysis and Outliers Wed Apr 7 2010 7 33 TI 83 Nonlinear Regression TI 83 Nonlinear Regression The …
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