Math Example--Linear Function Concepts--Linear Data Model: Example 1

Topic

Linear Functions

Description

This image shows a table of data with two columns: "Hours Spent Studying" and "Test Score." A scatterplot is displayed with the x-axis labeled "hours_studying" and the y-axis labeled "test_scores." A linear regression line is drawn, and the equation y = 3.06877x + 53.362 is shown. The correlation coefficient (r) is 0.506626. The text explains how to input data into a TI-Nspire calculator to create a scatterplot and analyze it. The regression equation is y = 3.06877x + 53.362, and the correlation coefficient (r) is 0.506626. The steps include inputting data, creating a statistics window, linking spreadsheet data, creating a scatterplot, and analyzing the correlation coefficient. 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 data with two columns: "Hours Spent Studying" and "Test Score. 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.