Term
| All MATLAB functions permit extrapolation beyond the limits of the original independent variable. |
|
Definition
| True. The provision is that while the linear interpolation does not give an error, it returns NaN for data points that are out of range. |
|
|
Term
| The cubic spline is a series of parametric curves. |
|
Definition
| True. There is a unique cubic parametric curve between each pair of points. The curve is parametric rather than a function of the independent variable in order to permit the curve to "double back" if necessary for smoothness. |
|
|
Term
| You cannot extrapolate the equations generated by curve fitting. |
|
Definition
| False. All curve fitting does is provide the coefficients of a polynomial. You can inset any value of the independent variable |
|
|
Term
| You should always match the order of a parametric curve fit to the underlying physics of the data. |
|
Definition
|
|
Term
| Simpson's rule is more accurate than the trapezoidal rule for integrating a function. |
|
Definition
| True. Simpson's rule better captures fluctuations in the function being integrated. |
|
|
Term
| Numerical differentiation produces a vector that is the same length as the original vector. |
|
Definition
| False. The diff(...) function shortens the vector by one element. |
|
|
Term
| _________ is the technique by which we estimate a variable's value between known values. |
|
Definition
|
|
Term
| Nth-order polynomial regression determines the ________ of order n that minimize the ________ between the line and the data points. |
|
Definition
| coefficients of the equation; sum of the squared distances |
|
|
Term
| The _________makes the slope at xk the ________ of the line between xk-1 and xk+1. |
|
Definition
| central difference approximation; slope |
|
|
Term
| To compute the continuous integral of a data set that is not regularly sampled, you have to compute the ________ of the __________of__________and________. |
|
Definition
| cumsum(...); dot product; the data vector; a vector of time differences |
|
|
Term
| If a(n) ___________is defined by its polynomial coefficients, you can integrate or differentiate it by ________ the vector of coefficients. |
|
Definition
| critical point; differentiating |
|
|
