Handout week 13

AP Stats course Teacher: Hans van der Zwan
Handout week 13

Literature Starnes D. S., et al. (2015). The Practice of Statistics (5th ed.). New York: W. H. Freeman and Company/BFW.

Handout per lesson

Lesson 1 Sun 2022-03-27

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1A	Identify the question to be answered or problem to be solved (not assessed).	9.1	Introducing Statistics: Do Those Points Align?	VAR-1.K	Identify questions suggested by variation in scatter plots.
2A	Describe data presented numerically or graphically.	2.7	Residuals	DAT-1.F	Describe the form of association of bivariate data using residual plots. [Skill 2.A]
2B	Construct numerical or graphical representations of distributions.	2.7	Residuals	DAT-1.E	Represent differences between measured and predicted responses using residual plots. [Skill 2.B]
2C	Calculate summary statistics, relative positions of points within a distribution, correlation, and predicted response.	2.6	Linear Regression Models	DAT-1.D	Calculate a predicted response value using a linear regression model. [Skill 2.C]
2C	Calculate summary statistics, relative positions of points within a distribution, correlation, and predicted response.	2.8	Least Squares Regression	DAT-1.G	Estimate parameters for the least-squares regression line model. [Skill 2.C]
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	2.8	Least Squares Regression	DAT-1.H	Interpret coefficients for the least-squares regression line model. [Skill 4.B]

Preparation for lesson

See homework previous lesson

Theory

Topic: OLS Regression Book: Chapter 3

Class Activities

Repeat: Simple OLS Regression
- Scatter plot
- Theoretical model \(\mu_Y\) = \(\alpha + \beta\times X\)
- Estimating model parameters: slope and intercept
Practice: Worksheet WS20220327
- Using Google Sheets as an example of a Spreadsheet Program

Homework

Working on ws20220327

Lesson 2 Mon 2022-03-28

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1A	Identify the question to be answered or problem to be solved (not assessed).	9.1	Introducing Statistics: Do Those Points Align?	VAR-1.K	Identify questions suggested by variation in scatter plots.

Preparation for lesson

See homework previous lesson

Theory

Topic: The Sampling distribution of Regression slope b statistic Book: pp. 740-742

Class Activities

Discuss: the sampling distribution of the slope estimate b
Practice: ws20220327

Homework

Homework to hand in

Lesson 3 Tue 2022-03-29

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1D	Identify an appropriate inference method for confidence intervals.	9.2	Confidence Intervals for the Slope of a Regression Model	UNC-4.AC	Identify an appropriate confidence interval procedure for a slope of a regression model
3D	Construct a confidence interval, provided conditions for inference are met.	9.2	Confidence Intervals for the Slope of a Regression Model	UNC-4.AE	Determine the given margin of error for the slope of a regression model.
3D	Construct a confidence interval, provided conditions for inference are met.	9.2	Confidence Intervals for the Slope of a Regression Model	UNC-4.AF	Calculate an appropriate confidence interval for the slope of a regression model.
4A	Make an appropriate claim or draw an appropriate conclusion.	9.3	Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval	UNC-4.AI	Identify the effects of sample size on the width of a confidence interval for the slope of a regression model.
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	9.3	Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval	UNC-4.AG	Interpret a confidence interval for the slope of a regression model.
4C	Verify that inference procedures apply in a given situation.	9.2	Confidence Intervals for the Slope of a Regression Model	UNC-4.AD	Verify the conditions to calculate confidence intervals for the slope of a regression model.
4C	Verify that inference procedures apply in a given situation.	9.3	Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval

Preparation for lesson

See homework previous lesson

Theory

Topic: Conditions Inference Regression; CI for the slope Book: 12.1

Class Activities

Discuss: conditions for Regression Interference and how to check these
- Conditions, compare theoretical model
- Check linearity: scatter plot and residual plot
- Independence including 10% condition
- Normality of residuals: Normal Probability Plots (and/or Histogram)
- Homoscedasticity, i.e. equal SD for the residuals for each x-value
Practice WS20220327

Homework

Worksheet WS20220327
Exercises: 12-10

Lesson 4 Wed 2022-03-30

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
4A	Make an appropriate claim or draw an appropriate conclusion.	9.3	Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval	UNC-4.AI	Identify the effects of sample size on the width of a confidence interval for the slope of a regression model.
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	9.3	Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval	UNC-4.AG	Interpret a confidence interval for the slope of a regression model.
4C	Verify that inference procedures apply in a given situation.	9.3	Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval

Preparation for lesson

See homework previous lesson

Theory

Topic: Confidence Intervals for the slope Book: pp. 747-753

Class Activities

Discuss: CI for the slope
Review: Chapter 11

Homework

Prepare test/project Chapter 11 on Thursday

Lesson 5 Thu 2022-03-31

Learning Objectives

Preparation for lesson

See homework previous lesson

Theory

Topic: Test Chapter 11 Book: Chapter 11

Class Activities

Test/Project Chapter 11

Homework to hand in

Test/Project Chapter 11