Numerical Method20795 marksNumerical: quadratic least squares fittingNon-linear Regression by fitting Exponential and Polynomial
Fit the quadratic function for the data given below using least square method. | x | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 | 4.0 | |---|---|---|---|---|---|---|---| | f(x) | 2.7 | 4.0 | 5.8 | 8.3 | 11.2 | 15.0 | 19.0 |
Fit the quadratic function for the data given below using least square method.
| x | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 3.5 | 4.0 |
|---|---|---|---|---|---|---|---|
| f(x) | 2.7 | 4.0 | 5.8 | 8.3 | 11.2 | 15.0 | 19.0 |
[5]
$n = 7$ $x$ 1.0 1.5 2.0 2.5 3.0 3.5 4.0 ---------------------------------------- $y=f(x)$ 2.7 4.0 5.8 8.3 11.2 15.0 19.0 Model: $y = a0 + a1 x + a2 x^2$ $x$ $y$ $x^2$ $x^3$ $x^4$ $xy$ $x^2y$ --------------------------------------------- 1.0 2.7 1.00 1.000 1.0000 2.700 2.700 1.5 4.0 2.25 3.375 5.0...