Kindly help in solving the following questions as fast as possible. Remember to include all the steps in your working.

The effectiveness of a tablet containing a my of drug 1 and x2 my of drug 2 was being tested. In trials the following results were obtained: % effectiveness, y 92.5 50.9 20.8 94.9 54.1 16.9 89.3 47.3 25.2 94.1 45.1 49.7 98.9 37.6 95.2 [y=469.7 [x) = 235 [x2 =207.8 x7 =11,202.68 x3 =12,886.42 [ xx; = 22, 028.78 _ vx2 =19,870.22 xx2 = 8,985.96 (i) Using the multiple linear least square regression model: y = a+ By+ Byxz te (a) Show that the least squares estimates of a , , and B2 satisfy: [ vi = no + BI Exil + BZ Exiz (b) Hence, using the above data, find their numerical values. [7] (ii) Predict the percentage effectiveness for a tablet containing 51.3 mg of drug x and 18.3 mg of drug x2. [2] [Total 9]2. [22 points] Consider the following national income model: Y = C + I + G, {3) G = f {Y _ T} 1' ('1) I = Mr}: {5) r = m{M'], {6) l where {3} is the macro equilibrium condition, {4} and {5] are the consumption and investment functions, respectively, and {6] is the equation summarising the demand for money and the money market equilibrium. The variables are dened as follows: Y is national income {or total production}, U is consumption, I is investment, G is government spending, T is tax revenue, 1* is the interest rate, and M\" is money supply. There are seven variables and four equations so we can potentially solve for 4L endogenous variables [0, Y, I, r} in terms of 3 exogenous variables (G, T, M \"1|. Assume that ff}, 11(1), and m{} are continuously differentiable functions 1with [I *5. J" s: 1, h' 5: , and m\" c: I]. Note that you may use any approach you learned om MlvEE to solve the model. {a} [9 points] Solve for {T} and briey discuss the economic implications of these partial derivatives, i.e., how government spending, taxes, and money supply affect equilibrium income in the macroeconomy