Kalan sre 1:59:25 The company "Disco" produces new technologies. The table below shows the sales in million dollars) versus budget for advertising for four new techologies (in million dollars). Sales Budget 1 0.30 2 0.60 3 1.? (put last digit of your student number to ?) 4 1.? (put second-to-last digit to ?) [Note: The sales of product in the third row is 3 million dollars, and of product in the fourth row is 4 milion dollars. If your student number is ...39. advertisement budget for product in the third row is 1.9 million dollars, and advertisement budget for product in the fourth row is 1.3 million dollars. For simplicity, do not use millions in computations: Take sales as 3, budget as 1.9 for product in the third row. Also take sales as 4 and budget as 1.3 for product in the fourth row.] i) Suppose that we can compute budget (b) as a line equation involving sales (s). 21 +228 Write the matrix equation Ar = b using the given points where x = [21 22) ii) Why cannot we solve this matrix equation? iii) What is the projection matrix that projects a vector onto the space spanned by the columns of A? Find the column space and nullspace of projection matrix P. iv) Find an estimate for x with least squares. v) Compute the error between observed vector and the projected vector. Kalan sre 1:59:25 The company "Disco" produces new technologies. The table below shows the sales in million dollars) versus budget for advertising for four new techologies (in million dollars). Sales Budget 1 0.30 2 0.60 3 1.? (put last digit of your student number to ?) 4 1.? (put second-to-last digit to ?) [Note: The sales of product in the third row is 3 million dollars, and of product in the fourth row is 4 milion dollars. If your student number is ...39. advertisement budget for product in the third row is 1.9 million dollars, and advertisement budget for product in the fourth row is 1.3 million dollars. For simplicity, do not use millions in computations: Take sales as 3, budget as 1.9 for product in the third row. Also take sales as 4 and budget as 1.3 for product in the fourth row.] i) Suppose that we can compute budget (b) as a line equation involving sales (s). 21 +228 Write the matrix equation Ar = b using the given points where x = [21 22) ii) Why cannot we solve this matrix equation? iii) What is the projection matrix that projects a vector onto the space spanned by the columns of A? Find the column space and nullspace of projection matrix P. iv) Find an estimate for x with least squares. v) Compute the error between observed vector and the projected vector