Question 2 Suppose we run an OLS of y on X and x2 with n=29 observations, and obtain the following results: = 4 + 0.4x + 0.9x2 and the sum of squired residuals=520. In addition, it is 8 The goodness of fit coefficient R = . 60' known that 2) Can you calculate: XTy, 29 0 0 50 10 XTX = 0 0 10 80, 1) Test the hypothesis that the coefficients on X and x2 sum to 1 The Total Sum of Squares, mean of x1, mean of x2 and mean of y, Please show your derivations of all results.

Suppose we run an OLS of y on x1 and x2 with n=29 observations, and obtain the following results: y^=4+0.4x1+0.9x2 The goodness of fit coefficient R2=608, and the sum of squired residuals=520. In addition, it is known that XTX=29000501001080 Suppose we run an OLS of y on x1 and x2 with n=29 observations, and obtain the following results: y^=4+0.4x1+0.9x2 The goodness of fit coefficient R2=608, and the sum of squired residuals=520. In addition, it is known that XTX=29000501001080 1) Test the hypothesis that the coefficients on x1 and x2 sum to 1 2) Can you calculate: - XTy - The Total Sum of Squares, - mean of x1 - mean of x2 - and mean of y, Please show your derivations of all results