Technology

Technology Enhanced Lesson Plan

Task Sheet:

1.    Go to this website http://mste.illinois.edu/activity/regression/ and in the box “Fit Line Angle (Radians)” put .7.  Now, wherever you’d like, click on the graph to create 15 or so points. Notice that a green bar will appear below the graph that says “accuracy.”  See what happens to the accuracy when you create new points on your graph.  Hit the “reset” button to try a new set of points. See if you can get the green bar to 100% accuracy.  Explain  what you have to do in order to get the accuracy as close to 100% as possible.

2.  Now check the button for “Show Best Fit.” Again, select a few points and notice what happens to this line when you create a new point. (This is the blue line)  Explain what happens to this line when you select new points.

3.  Now, please patiently listen while your teacher instructs the class about Correlation Coefficient and Best Fit Line.

4.  Using these listed steps

https://www.mathsisfun.com/data/correlation.html


compute the correlation coefficient for this set of numbers.

            x={1, 2, 3, 4, 5, 6, 7}  y={10, 7, 3, 5, 6, 9, 8}

5. Consider these questions: Was this a tedious process? Was it a long process?  What would we do if we had a larger set of data?  How could we more easily and quickly compute r for a larger set of data? Write down a couple of ideas for the last question and discuss them with your group:

6. Now, open Geogebra on your computer. Under the “View” tab, select “Spreadsheet” and a spreadsheet very similar to excel will open on the right side of the screen. Open http://mste.illinois.edu/regression/species.html and download/open the Excel 5 file of Species data. Copy and paste the Brain Weight column and the Total Sleep column into the Geogebra spreadsheet.

Since one of our Total Sleep cells says “missing” click the number of the row that the cell is on, right click and hit “delete row.”

Now highlight all of your data. On the top left-hand corner, there are four boxes, click on the second box from the left and on that menu select “Two Variable Regression Analysis” Then select “Analyze.”  Be sure to select the button in the top left hand corner that looks like this x.  This will pull up the statistics for your data, including the correlation coefficient listed as r.

Now, based on your correlation coefficient, explain the relationship between the Brain Weights of various animals and the amount of Total Sleep these animals get.