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Chapter
13
Simple Linear
Regression
Simple Linear Regression Models
A simple linear regression model is an equation describing how to use one variable x to predict
another y, based on the relationship that we see in sample data. Since we are making predictions
that may differ from the actual values, we use the symbol y' for the predicted value of y. The
simplest possible model is a linear one: y' = a + bx.
Before the linear regression model is created by the calculator, the data needs to be input into the
stat editor. After the data is entered, the relationship between the two quantitative variables can
be viewed in a scatter diagram.
Constructing a Scatter Diagram
You can create a scatter diagram by using the scatterplot option under STATPLOT. The steps to
create the scatter diagram are similar to those needed to create a histogram. We will use the data
in the following table to visually show the relationship between nine students English and Math
scores.
Student A B C D E F G H I
English 77 90 85 62 71 88 95 67 75
Math 63 86 68 88 57 59 85 78 90
78