Let (.2)=3 , (.3)=4 , and (.9)=1 . Assuming ()=0 for all =[0,1] and using a squared exponential covariance function with =(2=10,=1) , estimate the conditional mean and standard deviation of (.6) using a Gaussian Process. First find your estimate without using a nugget effect, and then recalculate using a nugget effect with 2=.01