Tut_Week4.pdf - Week 4 Tutorial Questions Attached is the R output obtained from fitting two linear models to 9 observations which include a response

Tut_Week4.pdf - Week 4 Tutorial Questions Attached is the R...

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Week 4: Tutorial Questions Attached is the R output obtained from fitting two linear models to 9 observations which include a response variable (Y) and three explanatory variables (X 1 , X 2 and X 3 ). Use the R output in order to answer the following questions. a. Answer the following questions about the full model: i. What does the coefficient of X 1 represent? Interpret this coefficient. ii. Explain how to calculate the t value of each of the beta coefficients listed in the output. iii. Test the hypothesis H 0 : β 1 = 0 at the 5% level of significance. What are the degrees of freedom associated with this t statistic? iv. Test the hypothesis H 0 : :g3437 g2010 g2869 g2010 g2870 g2010 g2871 g3441g3404g3437 0 0 0 g3441 at the 5% level of significance. b. Test the hypothesis H 0 :g3437 g2010 g2868 g2010 g2869 g2010 g2871 g3441g3404g3437 0 0 0 g3441 at the 5% level of significance. FIT 1 Call: lm(formula = Y ~ X1 + X2 + X3)
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