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IGV 6 Actividad r Tim Brzezinski

Shown below is is a list of points drawn in the coordinate plane (with axes hidden).
  • Note the value r changes as you move the points.

Use this app to help you answer questions the two questions below. Feel free to zoom in and out if you need.

In the app above, move these points around to make the value r as high as you possibly can. Is there a highest possible value for r? If so, what is it?

If you were able to answer the question above, describe what causes this value of r to be the greatest it could possibly be. Is there other possibilities for which r is maximum?

Use this app to help you answer the two questions below. Feel free to zoom in and out if you need.

Now move these points around to make the value r as low as possible. Is there a lowest possible value for r? If so, what is it?

If you were able to answer the question above, describe what causes this value of r as low as it could possibly be. Is there other possibilities for which r is minimum?

What exactly does this value r tell us? Describe as best as you can in your own words.

Is it possible to get r exactly equal to 0? Try it! Feel free to zoom in and out if you need.

Is it possible to get r exactly equal to 0? Try it -- but this time, arrange the points differently than you did in the app above.