How to solve for t test of a multiple regression model:

a: REGRESSION AND CORRELATION t test of a multiple regression model V Using 17 observations on each variable, a computer program generated the following multiple regression model: A y : 46.7753x, +5.36xz457x3 7.42:9, If the standard errors of the coefcients of the independent variables are, respectively, 4.25, 1.94, 3.63, and 2.68, can you conclude that the independent variable x3 is needed in the regression model? Let Bl, [52, ..., B4 denote the coefcients of the 4 variables in this model, and use a two-sided hypothesis test and significance level of 0.05 to determine your answer. Carry your intermediate computations to at least three decimal places and round your answers as specied in the table. Let P1, P2, ..., PA denote the coefficients of the 4 variables in this model, and use a two-sided hypothesis test and significance level of 0.05 to determine your answer. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. B p H The null hypothesis: H : X The alternative hypothesis: H : 0=0 030 020 The type of test statistic: (Choose one) v 0*0 00 The value of the test statistic: (Round to at least two decimal places.) X 5 ? The two critical values at the 0.05 level of significance: (Round to at least two decimal [ and ] places.) Can you conclude that the independent variable X? Yes No is needed in the regression model? Explanation Check