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In a simple linear regression you find a slope coefficient of 0.1766 and a standard error...

In a simple linear regression you find a slope coefficient of 0.1766 and a standard error of(0.055). Use a 2-sided t-test with a 5% cutoff. Would you accept or reject a null hypothesis that your X variable is not a significant determinant of your dependent (Y) variable? Show your work. [2 marks]

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Answer #1

null hypothesis: Ho: =0

alternate hypothesis:Ha: 0

as approximate critical value for 5% level of significance z =-/+1.96

therefore rejection region : z >1.96 or z<-1.96

here test statistic z =estimated slope/std error =(0.1766/0.055)=3.21

as test statistic is in rejection region; we reject null hypothesis

we have sufficient evidence to conclude that X variable is a significant determinant of your dependent (Y) variable

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