Algebra with Mrs. K

Unit 3

Equations and Applications

of Linear Functions

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Unit 3: Essential Questions: Answers

Essential Questions & Answers

Syllabus Unit 3

Syllabus

A Web Site & Videos for Parallel and Perpendicular Lines

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Resources for r and r squared values

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Determine an equation for linear regression by using a least-squares regression modelBig Ideas: We can identify the linear equation that best fits the relationship between two variables by finding the least-squares regression line (LSRL). We should interpret the slope and y-intercept of the LSRL in context of the data. This lesson builds on students’ previous work in high school statistics with bivariate data and scatterplots. The task will ask students to create two quantitative data sets by measuring their hands and counting the number of candies they can count. Students will then use technology to solve for the LSRL. Using the slope and y-intercept from the LSRL model, students should then interpret these values in context of the data. Vocabulary: quantitative, explanatory variable (independent variable), response variable (dependent variable), bivariate, regression, least-squares regression line, slope, y-intercept, association Special Materials: Large bowl / container 2-3 bags of candies (chewy chocolate taffy candies, square fruit-flavored soft taffy candies, or peppermints)

Compute and interpret the correlation coefficient by using spreadsheets or graphing technologyBig Ideas: Data can be represented using tables, charts, and graphs, and scatter plots help reveal associations in quantitative bivariate data. This lesson builds on students' work in 8th grade, where students created scatter plots and looked for associations between variables. In this lesson, students will compute the correlation coefficient, which represents the strength of a linear association between two variables. Vocabulary: bivariate, scatter plot, correlation, association, positive association, negative association, linear association, correlation coefficient

Regression Analysis: How Do I Interpret R-squared and Assess the Goodness-of-Fit?Regression Analysis: How Do I Interpret R-squared and Assess the Goodness-of-Fit?

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