1. Graphing Techniques

2. Data Time (s) Trial 1 (m) Trial 2 (m) Trial 3 (m) Trail 4 (m) 1.0 1.9
1.8
2.0
2.1
7.8
7.9
8.2
8.1
3.0
17.5
18.1
18.2
17.7
4.0
31.0
32.5
33.5
30.5

3. Scatter Plot

4. Curve Fitting with Error Bars

5. Is It Really Quadratic?

6. Or Is It Linear?

7. Quadratic Transformed to Linear

8. Most Common Best Fit Linear (Direct or Indirect) Quadratic Inverse
Inverse Square
All four can be “converted” to linear for comparison using the values indicated.

9. Direct X Y 1 3 2 5 7 4 9

10. Indirect X Y 1 9 2 7 3 5 4

11. Quadratic (Square) X Y 1 10 2 40 3 90 4
160

12. Inverse X Y 1
100 2 50 3
33.3 4 25

13. Inverse Square X Y 1
100 2 25 3
11.1 4
6.25

14. Other Functions
Relationship
Graph

15. Multiple Variables
Investigate one variable at a time using a power best fit
Combine the equations to find the single equation for the situation

16. Extrapolate vs. Interpolate

17. Manual Best Fit Line