11/9 -- You need a calculator today!

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Presentation transcript:

11/9 -- You need a calculator today! X-values Y-values 5 0.5 13 1 12 1.5 16 2 17 2.5 22 3 20 3.5 18 4 4.5 24 19 5.5 6 6.5 7 11/9 -- You need a calculator today! 25 8 Plot these points on a coordinate plane like the one above. Then, sketch a curve that would be the average of the plotted points (don’t connect the dots). What kind of function does this data seem to represent?

So, what kind of function does this appear to represent? Could we write a function to represent this graph? Give it a try. What kind of scenario could this data represent? 25 20 15 10 5 1 2 3 4 5 6 7 8

Everyone get out your graphing calculator and walk through these steps to turn on Diagnostics. Hit 2nd 0(zero) (CATALOG). Scroll down to DiagnostOn (they’re in alphabetical order). Hit ENTER. Your calculator should say Done.

X-values Y-values 5 0.5 13 1 12 1.5 16 2 17 2.5 22 3 20 3.5 18 4 4.5 24 19 5.5 6 6.5 7 There is a way to use the calculator to create a function for a data set like this. It’s called creating a Regression Equation. 1.) First, hit the STAT button, then hit enter on EDIT. You should see columns labeled L1 and L2. This data MUST go into L1 and L2. If you don’t see L1 and L2, let me know. 2.) Enter the x-values into L1 and the y-values into L2 (x-values always go into L1 and y’s into L2). 3.) Then, hit the STAT button again. Go over to CALC and go down to option 5 QuadReg (this is short for quadratic regression, since we believe this data is quadratic). 4.) For some of you, it will go ahead and run the regression. For others, you’ll need to hit enter until it goes down to Calculate. Hit enter again and it will calculate values for the a, b, and c-terms. Viola, we have a regression equation that models our data. So, what is the regression equation for this set of data?

From page M2-104

Let’s look at p.M2-105 together. Notice this box to the right of the page. When we put our data into the calculator, 1:00 will be 1 in the L1 column. Now do #’s 2-6 on the following pages (M2-105 through M2-108). For #3, you should look at the coefficient of determination ( 𝑹 𝟐 ) for more poly’s then quadratic. Compare the 𝑹 𝟐 for quadratic regression and cubic regression.