Continued below the jump:
Showing posts with label Regressions. Show all posts
Showing posts with label Regressions. Show all posts
Sunday, February 28, 2010
Regression Data and those "Found" pictures
Labels:
Regressions,
Resources
When I teach regression or curve-matching, I like to use real-life stuff for most of the examples. Linear is easy but some of the others can be difficult to find right off the top of my head. Kids have a tougher time.
I think it's counter-productive to let them misfit curves to the real-world. I don't send them off to take random pictures and I won't accept a physically inappropriate curve fit to the image of a cloudbank, like this. Firstly, there isn't a curve there. Second, it's not a cubic. It isn't, won't and never will be.
Continued below the jump:
Continued below the jump:
Regressions on the TI
Labels:
Math Problems,
Regressions,
Resources
Kate Nowak was asking about data for Regressions on the TI and I added a few:
Linear: temperature vs. volume of gas in a closed container
10oC, 500 ml; 20oC, 520 ml; 30oC, 531 ml; 40oC, 558 ml;
What I like about this one is extending the line backwards until V=0. The resulting temperature is very close to absolute zero. These are kid-found numbers and yet we get within 10o of the accepted absolute zero. That's definitely cool.
The freestyle skiers and motocross users have a program that allows a video to be converted into stop motion or for two videos to be superimposed, called Dartfish. They use it at the Olympics to show two racers running a course simultaneously. Search Google images for Dartfish and racers and then combine the pictures and a grid. Make sure to tell them to mark the centers of gravity. Or not. Make it interesting with one of Dan's Pictures that doesn't have the complete arc.
Then, here's a set of points. Figure out which regression gives you the highest value of R^2 -- 2nd catalog > Diagnostics ON
x: -3, -2, -1, 0, 1, 2, 3
y: 3, -8, -7, 0, 7, 8, -3
An additional note for anyone using TI: In all of these, I have them put the equation into the y= list. I let them retype a couple times, then mention that (Stat, Calc, 4) LinReg (VARS, Y-Yars, Y1) Y1 will automatically put the equation into Y1 if it is empty. Use a different Y if Y1 isn't empty. Then you can have the points and the regression showing together. This stunt works with any of the regressions.
I got into the spirit and wanted a total list for future reference so I copied the comments from folks who chimed in. I kept those who provided links or a different thought and trimmed the rest. I did not check the links and did some editing ...
Read more below the jump:
Linear: temperature vs. volume of gas in a closed container
10oC, 500 ml; 20oC, 520 ml; 30oC, 531 ml; 40oC, 558 ml;
What I like about this one is extending the line backwards until V=0. The resulting temperature is very close to absolute zero. These are kid-found numbers and yet we get within 10o of the accepted absolute zero. That's definitely cool.
The freestyle skiers and motocross users have a program that allows a video to be converted into stop motion or for two videos to be superimposed, called Dartfish. They use it at the Olympics to show two racers running a course simultaneously. Search Google images for Dartfish and racers and then combine the pictures and a grid. Make sure to tell them to mark the centers of gravity. Or not. Make it interesting with one of Dan's Pictures that doesn't have the complete arc.
Then, here's a set of points. Figure out which regression gives you the highest value of R^2 -- 2nd catalog > Diagnostics ON
x: -3, -2, -1, 0, 1, 2, 3
y: 3, -8, -7, 0, 7, 8, -3
An additional note for anyone using TI: In all of these, I have them put the equation into the y= list. I let them retype a couple times, then mention that (Stat, Calc, 4) LinReg (VARS, Y-Yars, Y1) Y1 will automatically put the equation into Y1 if it is empty. Use a different Y if Y1 isn't empty. Then you can have the points and the regression showing together. This stunt works with any of the regressions.
I got into the spirit and wanted a total list for future reference so I copied the comments from folks who chimed in. I kept those who provided links or a different thought and trimmed the rest. I did not check the links and did some editing ...
Read more below the jump:
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