Question: You may need to use the appropriate technology to answer this question. In a regression analysis involving 30 observations, the following estimated regression equation was

 You may need to use the appropriate technology to answer thisquestion. In a regression analysis involving 30 observations, the following estimated regressionequation was obtained. y^=17.6+3.8x12.3x2+7.6x3+2.7x4 For this estimated regression equation, SST=1,825 and SSR=1,790.

You may need to use the appropriate technology to answer this question. In a regression analysis involving 30 observations, the following estimated regression equation was obtained. y^=17.6+3.8x12.3x2+7.6x3+2.7x4 For this estimated regression equation, SST=1,825 and SSR=1,790. (a) At =0.05, test the significance of the relationship among the variables. State the null and alternative hypotheses. H0 : One or more of the parameters is not equal to zero. Ha:1=2=3=4=0H0:1=2=3=4=0 Ha : One or more of the parameters is not equal to zero. H0:0=1=2=3=4=0 Ha : One or more of the parameters is not equal to zero. H0 : One or more of the parameters is not equal to zero. Ha:0=1=2=3=4=0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) State your conclusion. Reject H0. We conclude that the overall relationship is significant. Reject H0. We conclude that the overall relationship is not significant. Do not reject H0. We conclude that the overall relationship is significant. Do not reject H0. We conclude that the overall relationship is not significant. Suppose variables x1 and x4 are dropped from the model and the following estimated regression equation is obtaine y^=11.13.6x2+8.1x3 For this model, SST =1,825 and SSR =1,725. Compute SSE(x1,x2,x3,x4). SSE(x1,x2,x3,x4)= c) Compute SSE(x2,x3). SSE(x2,x3)= d) Use an F test and a 0.05 level of significance to determine whether x1 and x4 contribute significantly to the model. State the null and alternative hypotheses. H0: One or more of the parameters is not equal to zero. Ha:2=3=0 H0 : One or more of the parameters is not equal to zero. Ha:1=4=0H0:2=3=0 Ha : One or more of the parameters is not equal to zero. H0:1=4=0 Ha : One or more of the parameters is not equal to zero. Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. We conclude that x1 and x4 do not contribute significantly to the model. Reject H0. We conclude that x1 and x4 contribute significantly to the model. Do not reject H0. We conclude that x1 and x4 contribute significantly to the model. Reject H0. We conclude that x1 and x4 do not contribute significantly to the model

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!