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Day26AnsPost - Multiple R 0.9 R Square 0.82 Note that the...

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This example is for the purpose of demonstrating the procedure by which the  various parts of the analysis of variance (ANOVA) are calculated. Y’=43.66+0.24*Miles Location Distance in Miles Actual Airfare New York 189 130 89.02 40.98 Chicago 612 125 190.54 -65.54 Dallas/Fort Worth 1216 369 335.5 33.5 208 Calculate Predicted Values Y' New York 189 89.02 Chicago 612 190.54 Dallas/Fort Worth 1216 335.5 Y-bar 208 Location Actual Airfare Deviations Sqrd Devs New York 130 -78 6084 Chicago 125 -83 6889 0.79 Dallas/Fort Worth 369 161 25921 38894 SST Calculate Error & Sqrd Error Location Actual Airfare Y' New York 130 89.02 40.98 1679.36 Chicago 125 190.54 -65.54 4295.49 Dallas/Fort Worth 369 335.5 33.5 1122.25 7097.1 SSE Calculate Reg and Sqrd Reg Location Y' Y-bar New York 89.02 208 -118.98 14156.24 Chicago 190.54 208 -17.46 304.85 Dallas/Fort Worth 335.5 208 127.5 16256.25 30717.34 SSR SUMMARY OUTPUT Please note:  The value of the r-square from Regression Statistics calculated by the regression.  This is ALL b
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Unformatted text preview: Multiple R 0.9 R Square 0.82 Note that the SSE and SSR values calculate Adjusted R Square 0.64 This is where the rounding error enters. Re Standard Error 84.02 Check the regression output to verify this. Observations 3 ANOVA df SS MS F Significance F Regression 1 31833.99 31833.99 4.51 0.28 Residual 1 7060.01 7060.01 Total 2 38894 Coefficients Standard Error t Stat P-value Lower 95% Upper 95%Lower 95.0% Intercept 43.66 91.34 0.48 0.72-1116.91 1204.24-1116.91 X Variable 1 0.24 0.12 2.12 0.28-1.22 1.71-1.22 Calculate Deviations (Y i - Y-bar) & Sqrd Deviations r 2 = SSR/SS e i e i 2 direct calculation is not the same as that because of rounding error. ed here do not match the output. emember that SSR + SSE do add up to SST. Upper 95.0% 1204.24 1.71 ST...
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