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(Solved): A mul!ple regression equa!on was developed rela!ng the number of embarking bus passengers, y, to bus ...



A mul!ple regression equa!on was developed rela!ng the number of embarking bus passengers, y, to bus headway (x1) and dummy variable segment location (x2) where x2 is 1 if the bus segment is located along EDSA and 0 otherwise.

student submitted image, transcription available below

The resul!ng multiple regression equation and other statistical results using the EXCEL software is shown below:

student submitted image, transcription available belowstudent submitted image, transcription available belowstudent submitted image, transcription available below

What is now the multiple regression equation?

Compute manually the value of R2.

Compute manually the confidence intervals of x1 and x2.

ANOVA SS F Significance Regression 2 64047.5632023 .786 .6674830 .023933 Residual 7 33620.854802 .979 Total 9 97668.41 Regression Statistics Multiple R R Square Adjusted R 0.557413 Square Standard Error 69.30353 Observations 10 \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline & Coefficients & & t Stat & P-value & Lower 95\% & & & \\ \hline Intercept & 19.4339 & 48.67227 & 0.399281 & 0.701588 & & 134.5254 & & 134.5254 \\ \hline & -0.10148 & 0.629721 & -0.16115 & 0.876527 & -1.59053 & 1.387573 & & 1.387573 \\ \hline & 158.4882 & 53.44564 & 2.965409 & 0.020944 & 32.10943 & 284.867 & 32.10943 & 3284.867 \\ \hline \end{tabular}


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