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Please find a pdf file. I ONLY NEED HELP WITH THE LAST QUESTION that is a Statistics based question (Regression Statistics) and would appreciate an answer to question 10 below.

Deadline: During the next 12 hours.

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MFin Maths and Stats Precourse Test Questions The approximate number of marks for each question is indicated in square brackets below the question number. 1. [3] Find the derivative dy/dx of: ? ? x y x x ln 3 ? 4 ? 2 ? . 2. [4] Find the following integral: ? ? 20 xe xdx . 3. [10] What are the maximum and minimum values of the function f ?x? ? xe?x for x = 0 ? 4. [3] Find the partial derivative with respect to 1 x of the function: ? ? ? ? 23 21 1 2 1 2 3 4 3 , , x x x x y f x x x ? ? ? . 5. [10] Minimise 21 2 2 2 1 y ? x ? 2x x ? 4x subject to the constraint 1 1 2 x ? x ? . 6. [10] Find the Taylor Series of f = ln(x) about x=1. 7. [10] Find the solution of the differential equation: ? 0.03x ?1.5 dt dx where the value of x at time 0 is 60. 8. [10] Let x ? ay ? 3 2x ? 2y ? 4 Write these equations in matrix form Ax ? b . Find A2. Does a solution to the equations for x and y exist when a = 1?
9. [20] The price of a specific CD by Band X is observed in 10 Cambridge stores on the same day. The data obtained, given in pounds sterling, are shown below: 8.00; 10.40; 10.60; 10.80; 11.00; 11.00; 11.30; 11.80; 12.00; 12.00 Assuming that Cambridge typifies the country in terms of prices, estimate the mean UK price and the variance, and set up a 95% confidence interval for the mean. What other assumptions do we need to make? You may find some of the following two-tailed 5% critical statistics useful: Standard Normal Z = 1.96; t8 = 2.306, t9 = 2.262, t10 = 2.228, t11 = 2.201 10. [20] Consider the following data on birth rates and GNP. The objective is to explain variations in birth rate across countries. Birth rate (Y) GNP(X) Bangladesh 47 140 Tanzania 47 280 Sierra Leone 46 320 Sudan 47 380 Kenya 55 420 Indonesia 35 530 Panama 30 1910 Chile 25 2560 Venezuela 35 4220 Turkey 33 1540 Malaysia 31 1840 Nepal 44 150 Malawi 56 200 Argentina 20 2560 A graph of the data and a regression analysis carried out using Excel are shown below. 0 10 20 30 40 50 60 0 1000 2000 3000 4000…

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Hello

Please find a pdf file. I ONLY NEED HELP WITH THE LAST QUESTION that is a Statistics based question (Regression Statistics) and would appreciate an answer to question 10 below.

Deadline During the next 12 hours.