Math Example--Linear Function Concepts--Linear Data Model: Example 4

Topic

Linear Functions

Description

This image shows a table of "Years of School" and "Median Weekly Salary." A scatterplot with a linear regression line is displayed, labeled y = 678.466x + 110.928, showing how salary increases with years of education. The correlation coefficient (r) is very high at 0.983721, indicating strong positive correlation. This example demonstrates how to perform linear regression analysis on data showing years of school vs median weekly salary using TI-Nspire tools. The regression equation is y = 678.466x + 110.928, with a strong positive correlation coefficient (r = 0.983721). The instructions include inputting data into spreadsheets, creating scatterplots, and analyzing the relationship between variables. These worked examples focus on real-world data modeled as linear relationships, reinforcing key concepts.

Linear functions represent relationships where the change is constant. These examples provide practice with organizing, interpreting, and analyzing data in tables and graphs. By studying these examples, students build the foundational understanding necessary for modeling real-world scenarios.

Seeing multiple worked-out examples is essential for students to understand concepts deeply. Each example reinforces the concept by showing a different perspective or application, making abstract ideas tangible.

Teacher Script: Let’s look at this example of a linear relationship. Notice how the data in the table shows a consistent change in values. For instance, This image shows a table of "Years of School" and "Median Weekly Salary. What patterns can you identify, and how do they relate to the equation of a line?

For a complete collection of math examples related to Linear Functions click on this link: Math Examples: Linear Data Models Collection.