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
Nthorder 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 x_{k} the ________ of the line between x_{k1} and x_{k+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 

