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    Statistics: Determining Regression Coefficients

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    Please use data of the attached two tables to answer the following questions about Pb 9.24.

    C) Find the regression coefficiet a and b.
    K)iii. Construct the 99% confidence interval for ?.
    I)iii. Construct the 99% confidence interval for ?.
    (p) Compute the correlation coefficient r.
    q)ii. Construct the 95% confidence interval for ?.

    Data are on the two attached tables(9.19 and 9.20).

    Problem 9.24:
    The ejection fraction at maximal exercise was measured before, X, and after, Y , training.
    X = 0.556, Y = 0.564, [x^2] = 0.30284, [y^2] = 0.46706, and [xy] = 0.2809.
    Is there association (? = 0.05) between the two ejection fractions? If yes, do tasks (c), (k-iii), (l-iii), (p), and (q-ii) above.
    Is there a change (? = 0.05) between the two ejection fractions?
    If yes, find a 95% confidence interval for the average difference.

    © BrainMass Inc. brainmass.com October 10, 2019, 3:53 am ad1c9bdddf
    https://brainmass.com/statistics/pearson-product-moment-correlation/statistics-determining-regression-coefficients-440207

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    See the attached file. Hope this will help. Thanks

    Problem 9.24: 
    The ejection fraction at maximal exercise was measured before, X, and after, Y , training. 
    X = 0.556, Y = 0.564,  [x^2] = 0.30284, [y^2] = 0.46706, and [xy] = 0.2809. 
    Is there association (a= 0.05) between the two ejection fractions?
    X 0.556
    Y 0.564
    [x^2] 0.30284
    [y^2] 0.46706
    [xy] 0.2809
    First we calculate the degree of linear relationship between the two ejection fractions.
    Pearson product moment correlation coefficient

    r= 0.746893677

    Now test wehther the correlation coefficient is significantly different from zero.
    We do the t -test for testing the hypothesis ρ = 0. The formula for calculating t-statistic is
    No. of observations n= 19

    = 4.631253036

    Degrees of freedom 17
    Significance Level 0.05
    Critical ...

    Solution Summary

    This solution provides a detailed, step by step calculation of the given statistics problem.

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