Introduction to Statistics (MAT/SST 115.03 2008S)

Class 40: Topic 29: Inference for Correlation and Regression

Back to Topic 28: Least Squares Regression. On to Wrapup.

This outline is also available in PDF.

Held: Wednesday, 7 May 2008

Summary: We conclude our exploration of statistics by examining what regression lines between two variables from a sample of a population tell us about the relationships between the variables within the populations from which the sample was drawn.

Notes:

Overview:

The Progression Continues: What Samples Tell us About Populations

Getting Information from R

> TBP = read.csv("/home/rebelsky/Stats115/Data/TextbookPrices.csv")
> summary(lm(TBP$Price ~ TBP$Pages))

Call:
lm(formula = TBP$Price ~ TBP$Pages)

Residuals:
     Min       1Q   Median       3Q      Max 
-65.4748 -12.3241  -0.5838  15.3037  72.9909 

Coefficients:
            Estimate Std. Error t value Pr(>|t|)    
(Intercept) -3.42231   10.46374  -0.327    0.746    
TBP$Pages    0.14733    0.01925   7.653 2.45e-08 ***
---
Signif. codes:  0 "***" 0.001 "**" 0.01 "*" 0.05 "." 0.1 " " 1 

Residual standard error: 29.76 on 28 degrees of freedom
Multiple R-Squared: 0.6766,	Adjusted R-squared: 0.665 
F-statistic: 58.57 on 1 and 28 DF,  p-value: 2.452e-08 

Back to Topic 28: Least Squares Regression. On to Wrapup.

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