F Test of a multiple regression model (#5):

C) REGRESSION AND CORRELATION F test of a multiple regression model V A company that manufactures computer chips wants to use a multiple regression model to study the effect that 4 different variables have on y, the total daily production cost [in thousands of dollars). Let B1, B2, ..., B4 denote the coefficients of the 4 variables in this model. Using 32 observations on each of the variables, the software program used to find the estimated regression model reports that the total sum of squares (SST) is 569.31 and the regression sum of squares (SSR) is 113.46. Using a significance level of 0.10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily production costs? Perform a oneitailed test. Then ll in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specied in the table. '12:] REGRESSION AND CORRELATION F test of a multiple regression model statistk V gnicant) information for predicting daily production costs? Perform a onetailed test. Then ll in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specied in the table. _ _ p IJ The Mgpothesm: Ho _ [I B H1 : at least one of the independent variables is useful an DD .3. Degrees Degrees The alternative hypothesis: Degrees of freedom of of E|=D EISEI Elel The type of test statistic: freedom freedom dfn : dfd : l:l l:l ElatEl EIEI The value of the test statistic: (Round to at least two decimal I] x b 0 places.) ' The pvalue: (Round to at least three I] decimal places.) Can you conclude that at least one of the independent variables in the model provides useful 0 Yes O No information for predicting daily production costs