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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.

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