John Wiley & Sons TI-83 User Manual download pdf (Page 78)

Chapter

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

1 2 ... 73 74 75 76 77 78 79 80 81 82 83 ... 88 89

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John Wiley & Sons TI-83 User Manual Page 78