ENGR 351 Numerical Methods
College of Engineering
Southern Illinois University Carbondale
Quiz
Given the following data and graphs for determine the power equation:
Y = 0.715X0.1922
calculate R2.
|
x |
y |
ln
x |
ln
y |
|
0.05 |
0.4 |
-2.99573 |
-0.91629 |
|
0.8 |
0.7 |
-0.22314 |
-0.35667 |
|
2 |
0.8 |
0.693147 |
-0.22314 |
|
2.4 |
0.85 |
0.875469 |
-0.16252 |
SOLUTION
| x | y | ymodel | e2 | (y-yavg)2 |
| 0.05 | 0.4 | 0.40202 | 0.0000 | 0.0827 |
| 0.8 | 0.7 | 0.68498 | 0.0002 | 0.0002 |
| 2 | 0.8 | 0.81689 | 0.0003 | 0.0127 |
| 2.4 | 0.85 | 0.84602 | 0.0000 | 0.0264 |
| 0.6875 | 0.0005 | 0.1219 | ||
| yavg | Sr | St | ||
| R2 = | 0.996 |