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MATLAB Chapter 15
n/a
11
Engineering
12/03/2013

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
 True.
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
 Interpolation
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
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