Question: A linear regression model has the form y;= Po+ PX,+Box, + 8, with 15 observations. You are given: (i) The fitted value of B, is

A linear regression model has the form y;= Po+ PX,+Box, + 8, with 15 observations. You are given: (i) The fitted value of B, is 4.986. 0.825 -0.029 -0.065 (ii) (XX) = -0.029 0.010 -0.014 -0.065 -0.014 0.035 (iii) The residual standard deviation is 11.155. The null hypothesis is Ho : , = 3. The alternative hypothesis is H, : B, >3. Conduct this hypothesis test at 5% level of significance. (4 marks)

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