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    Population Modeling with Least-Squares Error Analysis

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    Please refer to the attached Microsoft Word document pertaining to homework instructions.
    Consider the following results of measurements of a function P(t):

    T 0 1 2 3 4
    P 100 101 108 140 230

    Assume that the data set can be modeled by a function P = P0 + B ta

    a) Determine P0.
    Use the Ln-test (logarithm) to show that the function P = P0 + B ta can be used to model the data set.

    b) Use a linearized model to calculate the model parameters a and b
    such that the least-squares error becomes minimal.

    c) Calculate the relative model error (not the least-squares error).

    Thank-you so much for your help.

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    Solution Summary

    Population modeling with least-square error analysis is examined. A complete, neat and step-by-step solution is provided in the attached Excel file.