Illinois State University Mathematics Department

MAT 312: Probability and Statistics for Middle School Teachers

Dr. Roger Day (

Review: Linear Relationships

Linear Relationships: A Review

In our study of two-variable relationships, we will begin by looking at linear relationships. Before we take the leap from exploring and describing relationships through scatter plots to more precisely characterizing them using mathematical representations, let us briefly review characteristics and representations of linear relationships.

Here are four different ways to represent the same linear relationship between two data sets

Verbal Representations

For a pair of numbers, the second number is always two more than three times the first number.

Numeric Representations

  • order pairs: {(3,11),(7,23),(0,2),(-5,-13),(2/3,4),(1.7,7.1)}
  • table of values: