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# Correlation coefficient, regression equation, standard error

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The following sample observations were randomly selected:
X 10,6,12,6,8,8,12,16
Y 26,30,14,24,26,22,18,10

a) Compute the coefficient of correlation and the coefficient of determination
b) Determine the regression equation.
c) Determine what y is when x=36.
d) Determine the standard error of estimate

https://brainmass.com/statistics/regression-analysis/correlation-coefficient-regression-equation-standard-error-398424

#### Solution Preview

Problem: The following sample observations were randomly selected:
X 10,6,12,6,8,8,12,16
Y 26,30,14,24,26,22,18,10

Solution:
a) Compute the coefficient of correlation and the coefficient of determination

SUMMARY OUTPUT

Regression Statistics
Multiple R 0.890808442
R Square 0.793539681

#### Solution Summary

This solution is comprised of detailed explanations of finding the correlation coefficient, regression output and equation, and standard error of estimate for a given set of sample observations that were randomly selected. The answers are provided in an Excel document.

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