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澳大利亞 數學代寫 assignment

    澳大利亞 數學代寫 assignment
    a. What is the dependent (response) variable?
    b. What are the covariates?
    c. Specify the form of a multiple regression for this problem.
    d. Enter the vector y of responses and the X matrix (including the column of ones) into
    Matlab.
    e. Use the formula b=X\y to estimate the effect of independence and stage of
    development on the rate of inflation.
    f. Repeat this in Matlab by using the formula
    澳大利亞 數學代寫 assignment
    g. Determine the errors when the country means are used to predict the level of
    inflation.
    h. What assumptions are made about the disturbances? What do the disturbances
    represent?
    i. Estimate the variance of the disturbances.
    j. Use Matlab to find the variance matrix of the regression coefficients.
    k. Test whether inflation is affected by the independence at the 5 per cent level of
    significance.
    l. Predict the level of inflation (obtain the point prediction) for a developed country
    with an independence level of 5. Does your answer differ from Denmark’s inflation
    rate. Explain why?
    m. Find the 90 per cent prediction interval for the level of inflation for a developed
    country with an independence index of 5.
    5. Suppose that
     
    .澳大利亞 數學代寫 assignment
    a. Use Matlab to find the Cholesky factorisation of the variance matrix.
    b. If U designates the upper triangular matrix obtained in part a), confirm that U’U
    equals the original variance matrix.
    6. Find the Cholesky decomposition of the variance matrix
     
    using Matlab. Is this matrix
    positive definite? Attempt to find the Cholesky factorization of this variance matrix by
    hand. What goes wrong? Conjecture what general condition must be satisfied to ensure
    the existence of a Cholesky decomposition of a variance matrix.

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