Question

In: Statistics and Probability

Use Excel to develop a regression model for the Hospital Database (using the “Excel Databases.xls” file...

Use Excel to develop a regression model for the Hospital Database (using the “Excel Databases.xls” file on Blackboard) to predict the number of Personnel by the number of Births. Perform a test of the overall model, what is the value of the test statistic? Write your answer as a number, round your answer to 2 decimal places.

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.697463374
R Square 0.486455158
Adjusted R Square 0.483861497
Standard Error 590.2581194
Observations 200
ANOVA
df SS MS F Significance F
Regression 1 65345181.8 65345181.8 187.5554252 1.79694E-30
Residual 198 68984120.2 348404.6475
Total 199 134329302
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 390.6214398 54.07601821 7.223561437 1.06764E-11 283.9825868 497.2602928 283.9825868 497.2602928
Births 0.538734917 0.039337822 13.69508763 1.79694E-30 0.461160045 0.616309789 0.461160045 0.616309789

Solutions

Expert Solution

The model that we want to estimate is

from this

The estimated regression equation is

The hypotheses to Perform a test of the overall model, is

The test statistic is given in the ANOVA output

ans: The test statistic is F=187.56

The p-value is 0.0000 (rounded to 4 decimals) (from the significance F)

We will reject the null hypothesis if the p-value is less than the significance level.

Assuming a significance level of , we can say that the p-value is less than the significance level. Hence we reject the null hypothesis

ans: We conclude that the overall model is significant.


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