AP Statistics
AP Statistics
Chapter 7
Linear Regression
Objectives:
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Linear model
Predicted value
Residuals
Least squares
Regression to the mean
Regression line
Line of best fit
Slope intercept
se
R2
2
Fat Versus Protein: An Example
? The following is a scatterplot of total fat
versus protein for 30 items on the Burger King
menu:
The Linear Model
? The correlation in this example is 0.83. It says
¡°There seems to be a linear association
between these two variables,¡± but it doesn¡¯t
tell what that association is.
? We can say more about the linear relationship
between two quantitative variables with a
model.
? A model simplifies reality to help us
understand underlying patterns and
relationships.
The Linear Model
? The linear model is just an equation of a
straight line through the data.
¨C The points in the scatterplot don¡¯t all line up, but
a straight line can summarize the general pattern
with only a couple of parameters.
¨C The linear model can help us understand how the
values are associated.
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