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    hw8 f08

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    Lucia Antonius
    This document contains instructions for three homework problems: 1) Performing multiple linear regression on historical data to model electric power consumption and analyze residuals. 2) Using interpolation to find a specific heat value and determining which polynomial order is most appropriate. 3) Evaluating an integral using trapezoid and Simpson's 1/3 rules with varying numbers of subintervals and comparing to the exact solution.

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    hw8 f08

    Uploaded by

    Lucia Antonius
    57 views2 pages
    This document contains instructions for three homework problems: 1) Performing multiple linear regression on historical data to model electric power consumption and analyze residuals. 2) Using interpolation to find a specific heat value and determining which polynomial order is most appropriate. 3) Evaluating an integral using trapezoid and Simpson's 1/3 rules with varying numbers of subintervals and comparing to the exact solution.

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    This document contains instructions for three homework problems: 1) Performing multiple linear regression on historical data to model electric power consumption and analyze residuals. 2) Using interpolation to find a specific heat value and determining which polynomial order is most appropriate. 3) Evaluating an integral using trapezoid and Simpson's 1/3 rules with varying numbers of subintervals and comparing to the exact solution.

    Copyright:

    © All Rights Reserved
    Download as DOC, PDF, TXT or read online from Scribd
    Download as doc, pdf, or txt
    57 views2 pages

    hw8 f08

    Uploaded by

    Lucia Antonius
    This document contains instructions for three homework problems: 1) Performing multiple linear regression on historical data to model electric power consumption and analyze residuals. 2) Using interpolation to find a specific heat value and determining which polynomial order is most appropriate. 3) Evaluating an integral using trapezoid and Simpson's 1/3 rules with varying numbers of subintervals and comparing to the exact solution.

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    © All Rights Reserved
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    Download as doc, pdf, or txt
    of 2

    Multiple Linear Regression, Interpolation, and Numerical Integration

    Homework #8
    CIVL 3103
    Due Tuesday, December 2

    1. The electric power consumed each month by a chemical plant is thought to be


    related to the average ambient temperature, x1, the number of days in the month
    x2, the average product purity, x3, and the tons of product produced, x4. The past
    year’s historical data are available and are presented in the table below.
    a. Fit a multiple linear regression model to these data.
    b. Perform a residuals analysis using graphical methods discussed in class
    (you do not have to plot a normal curve on the histogram of your
    residuals).
    c. Test for the significance of the regression at α = 0.05.
    d. Use the t-test to assess the contribution of each regressor to the model.
    Using α= 0.05, what conclusions can you draw?

    Y X1 X2 X3 X4
    240 25 24 91 100
    236 31 21 90 95
    270 45 24 88 110
    274 60 25 87 88
    301 65 25 91 94
    316 72 26 94 99
    300 80 25 87 97
    296 84 25 86 96
    267 75 24 88 110
    276 60 25 91 105
    288 50 25 90 100
    261 38 23 89 98

    2. Consider the data in the table below. Use interpolation to find the value of the
    constant-pressure specific heat (Cp) at a temperature of 1238 K. Use a first order,
    second order, and third order polynomial. Which polynomial do you think is most
    appropriate for interpolation of this data? Explain your answer.

    T, K Cp, kJ/kg-K
    1000 1.410
    1100 1.1573
    1200 1.1722
    1300 1.1858
    1400 1.1982
    1500 1.2095
    3. Evaluate the following integral using both the Trapezoid and Simpson’s 1/3 rule
    with n = 1, 2, 4, and 8 subintervals for Trapezoid and n = 2, 4, and 8 subintervals
    for Simpson’s rule. Compare these results to the exact solution.

    10

    � + 4 x 3 + 2 x + 3)dx
    4
    (5 x
    0

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