AP Statistics – Chapter 12 More About Regression Day Topics Objectives: Students will be able to… Homework I can identify explanatory and response variables in situations where one variable helps to explain or influences the other. I can make a scatterplot to display the relationship between two quantitative variables. I can describe the direction, form, and strength of the overall pattern of a scatterplot. I can use technology to perform least-squares regression to determine a LSRL to be used to model linearity for a scatter plot. I can understand and know the basic properties of correlation. I can calculate and interpret correlation in context. I can interpret the slope and y intercept of a least-squares regression line in context. I can use r2 to assess how well the line fits the data. I can interpret the standard deviation of the residuals and r2 in context. I can construct and interpret residual plots to assess if a linear model is appropriate. HOMEWORK: Complete Worksheet (DUE the next class session, NOT in folder!!) 1 AP EXAM REVIEW: Activity: Arms & Legs Measurements Review of Chapter 3 Skills (Pre-requisite skills for Chapter 12) 2 AP EXAM REVIEW: Practice Multiple Choice Questions Roller Coaster Problem 1998 AP Exam Free Response Question: Weed Killer 3 4 Section 12.1: o The Sampling Distribution of b, o Conditions for Regression Inference Section 12.1 o Estimating Parameters, o Constructing a Confidence Interval for the Slope, o Technology: Regression Inference using Computer Software and Calculators (See standards from Day #1) Textbook Problems: p.202-203 (T3.12 & T.3.13) I can check conditions for performing inference about the slope 𝜷 of the population regression line. Reading; p. 738-744 STRIVE: p. 223-225 Textbook Problems: 1, 3 I can interpret computer output from a least-squares regression analysis. I can construct and interpret a confidence interval for the slope 𝜷 of the population regression line. Reading: p.744-750 STRIVE: p. 225-226 Textbook Problems: 5, 7, 9, 11 1 5 Section 12.1 o Performing a Significance Test for the Slope 6 Section 12.2 o Transforming with Powers and Roots, o VIDEO PRESENTATION: TED talks o Technology: Transforming to Achieve Linearity on the Calculator I can perform a significance test about the slope 𝜷 of a population regression line. I can use transformations involving powers and roots to achieve linearity for a relationship between two variables. I can make predictions from a leastsquares regression line involving transformed data. Reading: pp. 765-771 STRIVE: p. 228-229 Textbook Problems: 33, 35 I can use transformations involving logarithms to achieve linearity for a relationship between two variables. I can make predictions from a leastsquares regression line involving transformed data. I can determine which of several transformations does a better job of producing a linear relationship. Reading: p. 771-785 STRIVE: p. 229-230 Textbook Problems: 37, 39, 41 7 Section 12.2 o Transforming with Logarithms 8 Chapter 12 Review 9 Chapter 12 Test 10 Activity: The Helicopter Experiment Reading: pp. 751-758 STRIVE: p. 226-227 Textbook Problems: 13, 15, 17, 19 Summary of all ‘I can’ statements and concepts All HW problems should be finished prior to test; Strive Book Chapter 11 should be completed prior to test STRIVE: p. 231-240 Textbook Problems: 21-26; 45-48 HOMEWORK: Build Helicopter (for next class session) 2