a. A double-mass curve between one station of interest, Y, and the sum of n gages, which i...

a. A double-mass curve between one station of interest, Y, and the sum of n gages, which is denoted as X, is defined by

in which Y is the cumulative catch for gage Y; X is the cumulative of the total of the n gages; X0 is the value of X where the catch at gage Y becomes inconsistent with the past record; Yi is the catch at Y during any year i; Xi, is the sum of the catches at the n gages in year i; and b0, b1,and b2 are constants. Determine the adjustment factor and develop an expression for computing the adjusted values of Yi for X > X0.

b. Apply the results of part (a) to the data of Problem 4.40.