Above is a slide from section 4.3 Loan Calculations and Regressions of the Financial Algebra textbook. The numbers are from a workbook problem set. It gave me the opportunity to work on the parent functions, talk about concave up vs concave down, curves vs. lines. This activity charts a 20 year loan by the year. They used the trace function and dual screen mode to pick out specific points between the given data points using the regression in dual screen mode.
Steps for making the regression:
1. From the [menu] select stats. In the stats menu, enter your data.
2. Setup your graph--I wanted a scatter plot where List1=x and List2=y. x is years, y is loan balance. We do this by pressing [f1] (graph) then [f6] set. As you can see in the 3rd screenshot, it is set to scatter, L1, L2. [exit] takes you back to your data set.
3. Now press [f1] for Graph #1 and you see your scatter plot. [f1] calc gives you the option to make a regression. [f4] x^2 for quadratic. It displays the quadratic shown above. From here we can have the calculator automatically input the regression into the graphing application. To do this we press [f5] copy. It shows the list of equations, you scroll to which equation you want it to paste into and press [exe]. It goes back to the QuadReg screen, the equation has been placed in your graphing application.
4. To access the new graph, [menu] shows an option for Graph. Inside of there, make sure that your new equation is selected. To do this, hover over it and press [f1] for select. You can see it highlight the equal sign. It should auto-fit the window but if not, you can press [shift][f3v-win] for window settings. [exit] takes you back to the graphing, [f6] draw allows you to see it on the screen.
[f1] will allow you to trace. If you wish, you can activate dual-screen mode by going into setup [shift][menu] and the third option says 'dual screen', [f2] g to t will give you a dual screen where by tracing [f1] and pressing [exe] twice adds values from the tracing to a table while still showing the graph.
*remember, that if the calculator is in 'dual screen' mode it cannot graph inequalities so it will need changed back through the same procedure.
As this semester continues and we explore more parent functions, I intend to work Dynamic Graphing into class and will post a how-to for that as well.
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