# 8. Find and interpret a line of best fit (A)

teaches Common Core State Standards CCSS.Math.Content.8.SP.A.2 http://corestandards.org/Math/Content/8/SP/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5

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Lesson objective: Connect meaning of the slope and intercept to the line of best fit for a set of bivariate data.

This lesson provides an opportunity for students to apply their knowledge and understanding of a line of best fit to a real-life situation. Students are asked to find and interpret a line of best fit for walking and running around a track one time.

Key Concept students will use:

• Bivariate data may not have an exact linear association, but a linear model is often used to describe the association.

Skills students will use:

• two points to find the slope of a line (Grade 8, Unit 7)
• two points to find the equation a line (Grade 8, Unit 7)

Students engage in Mathematical Practice 5 (Use appropriate tools strategically) as they determine a line of best fit for a scatter plot and interpret the meaning of the slope and intercept in the context of the units of the problem.

Key vocabulary:

• intercept
• line of best fit
• negative association
• scatter plot
• rate of change
• slope
• y-intercept

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