or a graphing Use Geometer’s Sketchpad How does your best fit line compare to the They’re pretty similar. calculator to find regression equations of regression line on your calculator? student data. Talk about residuals. Compare regression line equations to What do you think the calculator does to Students may not know, but we can explain how the best fit line equations. determine its best fit line? calculator minimizes the sum of the distance between The procedure here will differ depending the regression line and the data points, and that these on which software is used. Have differences are called the residuals. students enter their data or table, and perform the regression analysis. What are some of your r-squared values? Responses should be close to one. This determines What do you think they represent? What’s the accuracy of the best fit line. Explain that the r-squared value tells you the highest an r-squared value can be? what percentage of the data fits the Calculate how many rubber bands you need They should be close. The closer the two values, the regression line. for your drop using this equation. How does better the drawn best fit line. it compare to your previous prediction? Teacher Decision Point Assessment: Students have entered their data, and found the regression line and residuals. Students have discussed what these mean. Evaluation: Estimated Time: 10 min Critical questions that ask students to demonstrate their understanding of the lesson’s performance objectives.
Use Geometer’s Sketchpad or a graphing calculator to find regression equations of student data. Talk about residuals. Compare regression line equations to best fit line equations. The procedure here will differ depending on which software is used. Have students enter their data or table, and perform the regression analysis. Explain that the r-squared value tells you what percentage of the data fits the regression line. How does your best fit line compare to the regression line on your calculator? What do you think the calculator does to determine its best fit line? What are some of your r-squared values? What do you think they represent? What’s the highest an r-squared value can be? Calculate how many rubber bands you need for your drop using this equation. How does it compare to your previous prediction? They’re pretty similar. Students may not know, but we can explain how the calculator minimizes the sum of the distance between the regression line and the data points, and that these differences are called the residuals. Responses should be close to one. This determines the accuracy of the best fit line. They should be close. The closer the two values, the better the drawn best fit line. Teacher Decision Point Assessment: Students have entered their data, and found the regression line and residuals. Students have discussed what these mean. Evaluation: Estimated Time: 10 min Critical questions that ask students to demonstrate their understanding of the lesson’s performance objectives.