 # Linear Model Equations

Related Topics:
Common Core for Grade 8
Common Core for Mathematics
More Math Lessons for Grade 8

Videos, solutions, examples, and lessons to help Grade 8 students learn how to use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.

Common Core: 8.SP.3

### Suggested Learning Targets

• I can find the slope and intercept of a linear equation in the context of bivariate measurement data.
• I can interpret the meaning of the slope and intercept of a linear equation in terms of the situation. (For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height
• I can solve problems using the equation of a linear model
Use linear model equations to solve problems in the context of bivariate data (8.SP.3)

Interpreting Scatter Plots Using Best Fit Lines (8.SP.3)
Situation:
Imagine you get a job in college assisting a professor who studies Monarch butterflies. Your task is to count the number of butterflies in a butterfly migration sanctuary near campus. Below you've graphed the number of butterflies you see (the y value) based on the number of weeks since the beginning of the year (the x value). You've also calculated a fit line for the data, which has the equation: y = 1.9x + 5.2

8 SP 3 Linear Models 1
This lesson teaches how to use linear models to solve problems, how to interpret the slope of a line, and how to interpret the y-intercept of a line. Linear Modeling with Heart Rates 8.SP.3
In this common core worked example, we model the heart rate as a linear function. Linear Modeling
Scatter plots with trend lines. Graphical Interpretation of a Scatter Plot and Line of Best Fit
This video explains how to use the graph of a scatter plot and line of best fit to make a prediction. Scatter Plots and Lines of Regression Writing an Equation From a Scatter Plot
In this video lesson I review the three ways to classify a data trend displayed in a scatter plot: positive correlation, negative correlation, and no correlation. Then I model how to create a scatter plot and draw a good trend line. Once the trend line is drawn, I model how to write the equation of that line.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.