Question: A rock specimen from a particular area is randomly selected and weighed two different times. Let W denote the actual weight and X, and X,

A rock specimen from a particular area is randomly selected and weighed two different times. Let W denote the actual weight and X, and X, the two measured weights. Then X, W + E, and X = W + E, where E and E, are the two measurement errors. Suppose that the Es are independent of one another and of W and that V(E) V(E) = 0.

a. Express p, the correlation coefficient between the two measured weights X, and X, in terms of the variance of actual weight, and the variance of measured weight.

b. Compute p when = 1 kg and = .01 kg.

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