CHAPTER 13
SIMPLE LINEAR REGRESSION AND CORRELATION: INFERENTIAL METHODS
 
Section 13.1 - The Simple Linear Regression Model

Section Objectives:

     ~Understand the difference between a deterministic and a probabilistic model

     ~Understand the simple linear regression model    

     ~Understand the basic assumptions of the simple linear regression model

     ~Be able to identify the estimated values of the parameters of the population regression
          line form computer output

     ~Be able to estimate (from computer output) and interpret the standard deviation of
          errors

 

A. R13.1 - Read section 13.1     Reading Guide   Correction Sheet

B. H13.1A - Worksheet 13.1A - Simple Linear Regression Model     Correction Sheet

C. H13.1B - Do the following problems from Peck    
Correction Sheet
     -13.2, 13.4, 13.6, 13.8, 13.10
 
Section 13.2 - Inferences About the Slope of the Population Regression Line

Section Objectives:

     ~Understand the properties of the sampling distribution of b

     ~Using computer output, be able to construct and interpret a confidence interval for β

     ~Using computer output, be able to identify and interpret the estimate of the
          parameters of the population regression line

     ~Using computer output, be able to identify and interpret the estimates of the standard
          deviation of errors

     ~Using computer output, be able to identify and interpret the coefficient of
          determination

     ~Using computer output, be able to test hypotheses about the slope, β

     ~Using computer output, be able to perform and interpret the results of the model utility
          test

 

A. R13.2 - Read section 13.2     Reading Guide   Correction Sheet

B. H13.2A - Worksheet 13.2A - Inferences About the Slope     Correction Sheet

C. H13.2B - Do the following problems from Peck    
Correction Sheet
     -13.12, 13.16, 13.18, 13.24 (for (a) use LinRegTTest on calc, show all 9 steps)
 
Section 13.3 - Checking Model Adequacy

Section Objectives:

     ~Be able to use a residual plot to check for the plausibility of the normality of errors

     ~Be able to use a normal probability plot (or other graphic representation of residuals)
          to check for the plausibility of constant variance

 

A. R13.3 - Read section 13.3     Reading Guide   Correction Sheet

B. H13.3A - Worksheet 13.3A - Model Adequacy     Correction Sheet

C. H13.3B - Do the following problems from Peck    
Correction Sheet
     -13.28, 13.30, 13.32

D. Do Test Ch. 11-13
 
Backgound music - 7th Ending Theme to Inuyasha
"
Come"
by Amuro Namie

A fitting song to end AP Stats with.  Below is an English translation of the lyrics.

If sorrow is overflowing now,
It's alright to lean on me and cry.
I get, I get, I get, get the feeling
I get, I get, I get, get the dreaming
Stay just like this.
Come my way...
Darkness is all around
Come close to me...
Now with the light of dusk,
I'll be with you, I'll be with you...
So I'm at your side
So come my way.
I realize that you're just the only one
Who is important to me in this world.
I get, I get, I get, get the feeling
I get, I get, I get, get the dreaming
Stay just like this.
Come my way...
Close your eyes
Come close to me
It's alright if you sleep, because
I'll be with you, I'll be with you
I'm right here
So come my way.
Calling out,
Can you here me?
yeah...
So Come my way.
I get, I get, I get, get the feeling
I get, I get, I get, get the dreaming
Stay just like this.
Come my way
Close your eyes
Come Close to me
It's alright if you sleep, because
I'll be with you, I'll be with you
I'm right here
So come my way.
 
   
   
   
   
More AP test practice to come