![]() In the end, we want students to understand how to make a residual plot and to recognize that a pattern in the residual plot is a signal that the model we have chosen is not appropriate. Even so, students are asked find a line of best fit, and then examine the residuals. It turns out that this data set is a beautiful example of nonlinear data. Apple stopped releasing sales data after the iPhone 6S. To help us make a good prediction, we looked up the sales for all the previous iPhones. The resource sheet is intended for grades 7-8 and Algebra 1 but can also be used for any grade using the Desmos Graphing Calculator. The iPhone 8 was just announced, and we were wondering how many Apple will sell. Desmos Graphing Calculator Cheat Sheet is an excellent resource for students when learning or reviewing how to perform tasks on their calculator. This can also be done nicely using the statistical software. They discovered that the the line of best fit is the one that minimizes the sum of the squared residuals (the least squares regression line). This can also be done nicely using the statistical software Fathom. Using this Desmos eTool we let students try to move the line into the best spot (be sure you hide the line of best fit to start). They discovered that the the line of “best” fit is the one that minimizes the sum of the squared residuals (the least squares regression line!). The software is designed for both students and professionals in the fields of mathematics, science, engineering, and other related disciplines. Desmos is a powerful and user-friendly graphing calculator that allows you to explore and analyze functions with ease. It allows the user to plot and label points on the Cartesian plane, demonstrate solutions to equations and inequalities, graph functions and create regression models from data sets, among other capabilities. Before you begin the activity, it's worth discussing with your students, "How does the computer or calculator find the line of “best” fit? What makes it the line of best fit?" Using this Desmos eTool we let students try to move the line into the “best” spot (be sure you hide the line of best fit to start). Exploring Functions with Desmos: Graphing and Analysis. Desmos Graphing Calculator is an open online tool with extensive numerical and visual versatility. ![]()
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