Question: 1. The NumericallGraphicaJ Solution ' Let's look at the BASE, HEIGHT, and AREA data in graphical form. Using the values from the chart on the

1. The NumericallGraphicaJ Solution ' Let's look at the BASE, HEIGHT, and AREA data in graphical form. Using the values from the chart on the preceding page, put the values of the BASE in L], the values of the HEIGHT in L2, and the values of the AREA in L3. We wilt rst find a relationship beaveen the BASE and the HEIGHT. Create a scatterplot of the BASE vs. HEIGHT (or L1 vs. L2). Set up your window to get a good view of your data points and plot the data. Draw a diagram of the data points below and indicate the window you used on your calculator. [Xmimeax]: [Ymin'max]: What type of function do you think your data matches the closest? (It's not linear!) Using the regression option on your calculator, see if your guess was correct. Graph your regression equation. How does it t? Write the results of the regression equation below. (Round values to 3 decimal places.) Do not write the equation in terms of x and 3!, but in terms of B (BASE) and H (HEIGHT). We are now ready to write our equation for the AREA of the triangle. Using the fonnula for the area of a triangle, the area A of the triangle (in terms of the base B) is: ME) = The independent variable is and the dependent variable is Before we graph this function, let's see the scatterplot of the relationship between the BASE (L1) of the triangle and the AREA (L3) of the triangle. Change the set up of the scatterplot, graph it, and show your graph below. Then, graph your area function to see how it ts. Remember, we wanted to nd where to fold the paper to 13m imize the area of the triangle. Use die graph of your "area function" to answer this question. The maximum AREA of the triangle is square inches. It occurs when the BASE of the triangle is inches, and the HEIGHT of the triangle is _.. inches
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