T test of a Multiple Regression:

Using 31 observations on each variable, a computer program generated the followingmultiple regression model: =y+53.8?9.31x11.8x2

I' "l REGRESSION AND CORRELATION t test of a multiple regression model V Using 31 observations on each variable, a computer program generated the following multiple regression model: A y 53.8-l-9.3lx11.8x2 If the standard errors of the coefcients of the independent variables are, respectively, 5.41 and 1.44, can you conclude that the independent variable x2 is needed in the regression model? Let [31 and 32 denote the coefficients of the 2 variables in this model, and use a twosided 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. answer. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H : 1 P H X The alternative hypothesis: H, : 1 The type of test statistic: (Choose one) 0=0 030 020 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 [ pue places.) Can you conclude that the independent variable X, Yes No is needed in the regression model