Question: Suppose trial In a problem Ol simple linear regression, the model Ji POTPinit e: N(0, o') and are independent is fitted to the following data

Suppose trial In a problem Ol simple linear regression, the model Ji POTPinit e: N(0, o') and are independent is fitted to the following data points. X 3.0 14.0 10.0 -3.0 -2.0 10.0 20.0 -10.0 -7.0 7.0 Y 4.0 9.0 4.0 -3.0 3.0 8.0 7.0 -4.0 -2.0 7.0 a. Obtain the least squares estimates of Bo and B, , that is B, and B, respectively. (6 marks) b. Compute var (Bo) , var (B,) and cov( Bo, B,) hence determine var (5 Bo - B1+4) (6 marks) C. Construct a 90% confidence interval for 5Bo-B1+4 (3 marks) d. Use the confidence interval obtained above to test the null hypothesis that 5 Bo-B1#4 (2 marks)

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