ENGR 351 Numerical Methods
College of Engineering
Southern Illinois University Carbondale
Quiz
Given the following data and graphs, determine the coefficients a and b for the power equation
Y = aXb
|
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:
ln y = ln a + bln x
ln a = -0.3345
a = e-0.3354
= 0.715
b = 0.1922
MODEL: Y = 0.715X0.1922