The shrimp survey data (Examples 1 and 2) give a covariance function c(x) = 5.1 exp(-0.49x), where x is distance in nautical miles. The catches at sites 1 and 2, which are 3 nmi. apart, are 1.200 and 2.400, respectively (units are in thousands of pounds). Predict the catch y0 at a new site:
(a) Halfway between sites 1 and 2
(b) 5 nmi. from each of sites 1 and 2
(c) 1 nmi. from site 2 and 4 miles from site 1
(d) 4 nmi. from site 1 and 5 miles from site 2 Along with each prediction, give the prediction mean square error (MSE).