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    Coefficient of Correlation, etc.

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    Use the data provided. (Also see attachment.)
    a. Plot the data; determine the least-squares line for the data and overlay it on the plot.
    b. Test the hypothesis (at ? = 0.05) that X contributes no information for predicting Y. What are your conclusions?
    c. Find a 95% confidence interval for ?1.
    d. Determine the coefficient of correlation.
    e. Determine the coefficient of determination for the model from part a.
    f. Find a 99% prediction interval for Y given X of 200.
    g. Estimate the mean Y when X is 200. Use a 99% confidence interval.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:45 am ad1c9bdddf
    https://brainmass.com/statistics/correlation/coefficient-correlation-etc-516534

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    Solution Preview

    Use the data provided.
    a. Plot the data; determine the least-squares line for the data and overlay it on the plot.

    b. Test the hypothesis (at ? = 0.05) that X contributes no information for predicting Y. What are your conclusions?

    SUMMARY OUTPUT

    Regression Statistics
    Multiple R 0.99666
    R Square 0.993332
    Adjusted R Square 0.993042
    Standard Error 2.286472
    Observations 25

    ANOVA
    df SS MS F Significance F
    Regression 1 17911.98 17911.98 3426.193 1.56E-26
    Residual 23 120.243 5.227955
    Total 24 18032.23

    Coefficients Standard Error t Stat P-value Lower 95% Upper ...

    Solution Summary

    The coefficient of correlation are determined.

    $2.19