Regression with Discrete Dependent Variable CE 601 Term Project By Classification Type of Discrete Dependent Variable Example Problems Type of Regression Model Binary 1. Consumer economics 2. Decision to vote Logistic Regression Probit Regression Ordinal 1. Opinion survey 2. Rating systems Ordered Logistic Regression Ordered Probit Regression Nominal 1. Occupation choice 2. Blood type Multinomial Logistic Regression Count 1. Consumer demand 2
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SIDS31081 - Statistics Refresher 2006 – 2007 Exercises (Probability and Random Variables) Exercise 1 Suppose that we have a sample space with five equally likely experimental outcomes : E1‚E2‚E3‚E4‚E5. Let A = {E1‚E2} B = {E3‚E4} C = {E2‚E3‚E5} a. Find P(A)‚ P(B)‚ P(C). b. Find P(A U B) . Are A and B mutually exclusive? c. Find Ac‚ Bc‚ P(Ac)‚ P(Bc). d. Find A U Bc and P(A U Bc) e. Find P(B U C) Exercise 2 A committee with two members is to be selected from a collection of 30
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five babies are randomly selected. In each group‚ the random variable x is the number of babies with green eyes (based on data from a study by Dr. Sorita Soni at Indiana University). (The symbol 0+ denotes a positive probability value that is very small). X | P(x) | 0 | .528 | 1 | .360 | 2 | .098 | 3 | .013 | 4 | .001 | 5 | 0+ | P(x) = .528 + .360 + .098 + .013 + .001 + (0+) = 1 This is a probability distribution because P(x) = 1 for the data given Standard Deviation = 4.9344 14
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cars that pass through. Suppose the probabilities are 1/12‚ 1/12‚ 1/4‚ 1/4‚ 1/6‚ and 1/6‚ respectively‚ that the attendant receives $7‚ $9‚ $11‚ $13‚ $15‚ or $17 between 4:00 P. M. and 5:00 P. M. on any sunny Friday. Find the attendant’s expected earnings for this particular period. 4.7 By investing in a particular stock‚ a person can make a profit in one year of $4000 with probability 0.3 or take a loss of $1000 with probability 0.7. What is this person’s expected gain? 4.10 Two tire-quality experts
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Math 107 002 Homework 5 (due 13 Oct 2011) Fall 2011 Please use your calculators and give your final answers to 3 significant figures. Show your work for full credit. Please state clearly all assumptions made. 1. Classify each random variable as discrete or continuous. (a) The number of visitors to the Museum of Science in Boston on a randomly selected day. (b) The camber-angle adjustment necessary for a front-end alignment. (c) The total number of pixels in a photograph produced by a digital camera
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SIMULATION OF COMBINED DISCRETE/CONTINUOUS PROCESSES by Paul Inigo Barton‚ M.Eng‚ A.C.G.I. May 1992 A thesis submitted for the degree of Doctor of Philosophy of the University of London and for the Diploma of Membership of the Imperial College Department of Chemical Engineering Imperial College of Science‚ Technology and Medicine London SW7 2BY To Amy 2 Abstract Currently available dynamic simulation packages are mainly suitable for the continuous simulation of large industrial
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binomial distribution for the random variable X? Give reasons for your answer in each case. (a) An auto manufacturer chooses one car from each hour’s production for a detailed quality inspection. One variable recorded is the count X of finish defects (dimples‚ ripples‚ etc.) in the car’s paint. No: There is no fixed n (i.e.‚ there is no definite upper limit on the number of defects). (b) The pool of potential jurors for a murder case contains 100 persons chosen at random from the adult residents
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Random Variable and Its Probability distribution “A random variable is a variable hat assumes numerical values associated with the random outcome of an experiment‚ where one (and only one) numerical value is assigned to each sample point”. “A random variable is a numerical measure of the outcome from a probability experiment‚ so its value is determined by chance. Random variables are denoted using letters such as X‚Y‚Z”. X = number of heads when the experiment is flipping a coin 20 times. There
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APStatistics Cole Rogers Unit 7 Exam Random Variables: Free Response Directions: Complete the assignment on this paper. If you need additional paper make sure that you clearly label each page with your name. Your answers for this assignment must include reasons; simply stating the answer without justification will earn partial credit. 1. A Roulette wheel has 38 slots numbered 0 to 36 and 00. The wheel is spun and a ball is thrown into the wheel and comes to rest in one of the slots. There are
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Independent Project Description This is a test to see how accurate and creative you can be with a common dataset. Use the data set supplied (hypertension‚ diabetes‚ cholesterol in subjects‚ including medication‚ weight‚ age‚ etc) in Docsharing and using Excel‚ provide the following for the variable(s) of your choice: 1. Frequency distribution of a variable and bar graph of the same variable 2. Descriptive statistics of a continuous dataset: mean‚ median‚ mode‚ skewness‚ kurtosis‚ standard
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