Consider the following small fictitious dataset. You will be fitting a regres- sion model to y using two explanatory variables, X and X. i 1234 X-1 2 4 6 X1,2 0 0 1 1 Yi 0158 From the fitted regression model, we have s = 1.373 and b= 0.15 0.692 and (XX) = 2.88 0.53846 -0.07692 -0.15385) -0.07692 0.15385 -0.69231 -0.15385 -0.69231 4.11538 a. Write down the vector of dependent variables, y, and the matrix of explanatory variables, X. b. Determine the numerical value for 3, the fitted value for the third observation. c. Determine the numerical value for se(b). d. Determine the numerical value for t(bi).