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Please show all the work nice and neat 3 Suppose the power, P, from a circuit as a function of current, I, is known to...
3 Suppose the power,P, from a circuit as a function of current, I s known to obey an equation of the form: P- al+bl+4 where "a" and "b" denote unknown constants. Suppose the actual values of I and P are found to be as shown in Table 1 below. 2 4 10 16 22 26 To a) Formulate a suitable cost function and find the least squares estimates of a and b using classical optimization technique Hint: After formulating the...
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be reduced to the separable form f-yyi by introducing the transformations Suggest a suitable transformation of variables that will reduce the following function to a separable form: i(X1, X2)-XIP X29,
a) Formulate a cost function along with constraints, if any, for the following optimization problems. You don't need to solve any of these problems i) Two electric generators are interconnected to provide total power to meet the load. Suppose each generator's cost (C) is a function of its power output P (in terms of units), and costs per unit are given by: C2 = 1 + 0.6P2 + P22 (for Generator 2). -1-P -Pi2 (for Generator 1), If the total...
Question 4) Suppose that the (univariate) variable y is known to be a quadratic function of the variable x; that is, y = a x2 +bx+c, where the coefficients a, b, c are obtained by conducting an experiment in which values y1, .. , Yn of the variable y are measured for corresponding values 21,.. , Un of the variable x. Find the best least-squares fit of the quadratic polynomial using the data: {(-2,-5),(-1, -1),(0,4), (1,7), (2,6), (3,5), (4, -1)}....
3. (20 pts) Suppose that we have 4 observations for 3 variables y,I, 2 and consider a problem of regressing y on two (qualitative) variables r, 2. Data: 22 obs no. y (Income) 2 (Management Status) I (Gender) 1 None Female 2 None Male Yes Female Yes Male 4 To handle the qualitative variables r, 12, we define dummy variables 1, 22 as for 1, 22= Yes Male for 1, 219 22 -1. for 22= None for 1= Female -1,...
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(Linear models) Suppose we have a vector of n observations Y (response), which has distribution Nn(XB.ση where x is an n × p matrix of known values (indepedent variables), which has full column rank p, and β is a p x 1 vector of unknown parameters. The least squares estimator of ß is 4. a. Determine the distribution of β. xB. Determine the distribution of Y b. Let Y...
Question 1 (36 points) Suppose that the demand function is given as follows: 5000 3Pr +P, -2I and 2P T - P. where Pr denotes price of good x. P, denotes the price of a related product y, I denotes income, T denotes the tax imposed by the government on firms and P. denotes the price of alternative product that can be produced by firms a-) (8 points) Find equilibrium price and output (Peg and Oe") as a function of...
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From theoretical considerations, it is suspected that the rate of flow from a fire hose is proportional to some power of the pressure at the nozzle. Do the following data confirm this observation? Get the least-squares values for the exponent and the proportionality factor Q1. Flow Rate 94 118 147 180 230 Pressure 10 16 25 40 60 These data represent solubility of n-butane in liquid anhydrous hydrofluoric acid. Fit...
Please show all work in the space provided for credit. 1.) The function D(h) 10e can be used to find the number of milligrams D of a certain a. How many milligrams will be present after 2 hours? b. When the number of milligrams reaches 1, the drug is to be administered again. drug that is in a patient's bloodstream h hours after the drug has been administered Round your answer to one decimal place. After how many hours will...
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Homework Assignment 1 You must show all your work to earn points ECON 3125 SP19 Name: 1. Use the graph below to answer the questions: 80 70 50 40 30 20 10 State the equation for the demand curve (inverse demand function) shown in the graph above using the format P.-a-bQ a. b. State the equation for the demand function implied in the graph using the format Q.-c-dP c. Find the equation for Total Revenue, where TR...