Linear regression and correlation

OpenStax

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Linear equations

The regression equation

1 Least squares criteria for best fit

2 Understanding slope

3 The correlation coefficient r

4 The coefficient of determination

5 Chapter review

Testing the significance of the correlation coefficient

1 Performing the hypothesis test

2 Method 1: using a p -value to make a decision

3 Method 2: using a table of critical values to make a decision

4 Third-exam vs final-exam example: critical value method

5 Assumptions in testing the significance of the correlation coefficient

6 Chapter review

7 Formula review

1 Identifying outliers

2 Numerical identification of outliers

3 How does the outlier affect the best fit line?

4 Numerical identification of outliers: calculating s And finding outliers

5 95% critical values of the sample correlation coefficient table

7 Chapter review

Regression (distance from school)

Regression (textbook cost)

Regression (fuel efficiency)

Source: OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18

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