Linear Regression Special Topics.

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Presentation transcript:

Linear Regression Special Topics

Regression Line A regression line is a straight line that describes how a response variable y changes as an explanatory variable x changes. We often use a regression line to predict the value of y. Regression, unlike correlation, requires that we have an explanatory and a response variable.

Example

Least –Squares Regression Line (LSRL) The Least Squares Regression Line (LSRL) is a mathematical model suitable for a linear trend. LSRL - of y on x is the line that makes the sum of squares of the vertical distance of the data points to the line as small as possible. (error) error = observed – predicted

Example

Demonstration http://hadm.sph.sc.edu/courses/J716/demos/LeastSquares/LeastSquaresDemo.html LSRL equation: = mx + b is the predicted response b is the y-intercept m is the slope

To Calculate:

In-Class Practice

Homework Worksheet