Answer the following statements true (T) or false (F)

1) If a numerical method for approximating a root of an equation diverges, then it has failed to find a root.
2) If the correlation coefficient of a set of data points is 0, the points all lie on a straight line.
3) Very noisy data usually has a high standard deviation.C
4) The methods of approximating function integrals that we studied are based on the principle of fitting polynomials to known points of the function and then integrating the polynomials.
5) Newton's method tests for convergence to a root by checking how close to zero the function value is at the
current approximation.

1) T
2) F
3) T
4) F
5) F