Plotting and Fitting STAT 4772/5772

Tuesday, October 8th

1. Finding the Slope of a line Rise over the Run: High jump or hurdles or pole vault over the 100 meter dash or mile run or marathon.

2. Adobe Flash and easing: Ease in and Ease out compared to no easing. What is the SLOPE? Constant and linear or curved and changing?

3. Microsoft Excel slope for Classic Tween without Ease In and with Ease In.

Without Easing and With Ease In data for the Data Flyer tool.
Animation with No Ease In... Animated to Ease In at 100% Flash custom setting...

4. Plot this set of numbers using the SHODOR Data Flyer tool. It is MAYA 3D Graphics animation ease in data.
``` 1   0
2   0.482
3   1.9
4   4.213
5   7.379
6  11.356
7  16.103
8  21.578

Here is the absolutely best fitting linear equation y = mx + b, for the
above data.  The slope of the straight line is m and the intercept is b.

When x is equal to 0, the equation becomes y = m*0 + b, or
y = 0 + b = b.

y = f(x) = 3.104 * x - 6.090  or  y = 3.1 * x - 6.1

The best CURVE fitting quadratic equation for the above set of
8 points, i.e. (x, y) pairs is:

f(x)  =  y = 0.416 * x*x  -  0.641 * x  +  0.152

2
or    y  =  0.416 x   -  0.641 x  +  0.152
```

Excel spreadsheet with the above (x, y) pairs of numbers.

5. The SHODOR Data Flyer tool: Plotting data and finding the best fitting function. Ordered pairs.

6. See the difference between Ease In/Ease Out and No Easing side by side in Flash published application.