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# F test of a multiple regression model

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To help schedule staffing equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' y, the number of beds occupied at the end of each day. Using hospital records from the most recent 28 days, a total of 3 independent variables are used to find the estimated regression model. Let B1, B2 and B3 denote the coefficients of the 3 variables in this model. A computer printout indicates that the total sum of squares (SST) associated with the model is 572.37 and the corresponding regression sum of squares (SSR) is 252.83. Using a significance level of .05, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily bed census?

Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

https://brainmass.com/statistics/f-test/f-test-of-a-multiple-regression-model-237402

#### Solution Summary

The solution performs a f test of multiple regression models. A one-tailed test is preformed.

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## F test of a multiple regression model

F test of a multiple regression model
To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' , the number of beds occupied at the end of each day. Using hospital records from the most recent days, a total of independent variables are used to find the estimated regression model. Let and denote the coefficients of the variables in this model. A computer printout indicates that the total sum of squares (SST) associated with the model is and the corresponding regression sum of squares (SSR) is . Using a significance level of , can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily bed census?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

Ho:
H1:at least one of the independent variables is useful
The type of test statistic (chi square, t, F, z) degrees of freedom__
The value of the test statistic (round to at least two decimal places)___
The p-value (round to at least two decimal places)___

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