Load the Wichman-Hill pseudorandom number generator into R and generate 10000 random numbers, assigning them to a vector x.

(a) Test the sequence for uniformity. Write out your conclusion clearly.

(b) Check the autocorrelations. Is there any indication of sequential linear dependence?

(c) Construct a lag plot a way of applying the spectral test in two dimensions. What do you conclude?

(d) Use plot3d() to apply the spectral test in three dimensions. What do you conclude?