Regression Analysis

2/17/00


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Table of Contents

Regression Analysis

“Eyeball” Method

One of many trend lines using “eyeball” method

If Population = 38,000, how many units sold?

Another Method: “Least Squares”

Use Excel to complete table

Calculate a & b using Excel

Calculate b

Calculate a

If population = 38,000, how many units sold?

Regression Line for Units Sold and Population

Least Squares

Error = y - y hat

Least Squares produces regression line with best fit

Back to your spreadsheet ...

Back to your spreadsheet ...

Explained & Unexplained Variation

Explained & Unexplained Variation

R Square (R2)

Suppose y is not really dependent upon x …

How can we be sure that y is a function of x?

t is a test of significance

Simple Vs. Multiple Regression

Estimated Demand Function for Frozen Pies

Sample line approximates population regression line ...

Standard Error of Estimate

SUMMARY OF STEPS FOR PERFORMING REGRESSION

Author: Frederica Shockley