EPI/STA 553 Principles of Statistical Inference II Fall 2006 Regression: Testing Assumptions December 4‚ 2006 Linearity The linearity of the regression mean can be examined visually by plots of the residuals against any of the independent variables‚ or against the predicted values. Chart 1 shows a residual plot that reveals no Chart 2 C hart 1 0.4 0.4 0.3 0.3 0.2 0.1 0.1 Residual Residual 0.2 0.0 -0.1 0.0 -0.1 -0.2 -0.2 -0.3 -0.3 -0.4 -0.5
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Topic 8: Multiple Regression Answer a. Scatterplot 120 Game Attendance 100 80 60 40 20 0 0 5‚000 10‚000 15‚000 20‚000 25‚000 Team Win/Loss % There appears to be a positive linear relationship between team win/loss percentage and game attendance. There appears to be a positive linear relationship between opponent win/loss percentage and game attendance. There appears to be a positive linear relationship between games played and game attendance. There does not appear to be any relationship
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Mortality Rates Regression Analysis of Multiple Variables Neil Bhatt 993569302 Sta 108 P. Burman 11 total pages The question being posed in this experiment is to understand whether or not pollution has an impact on the mortality rate. Taking data from 60 cities (n=60) where the responsive variable Y = mortality rate per population of 100‚000‚ whose variables include Education‚ Percent of the population that is nonwhite‚ percent of population that is deemed poor‚ the precipitation
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all he calculates the expected value that has the positive and negative returns respectively‚ that is 54 (n) × 0.5 = 27 in each case as below (The expected value is more than 5‚ so he can use chi-square test). AT&T (Actual) Positive 32 Negative 22 AT&T (Expected) Positive 27 Negative 27 And he calculates the chi-square value‚ χ2 = [(32 – 27)2/27] + [(22 – 27)2/27] = 25/27 + 25/27 = 1.8519 Cohort 2- Team 5 Page 1 Because χ2 is less than χ20.1 = 2.70544 (degree of freedom = 2 (np) – 1 =
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SPU 27 Problem Set 7 Due in TF’s homework box before class on Thursday‚ October 31st You are encouraged to work in groups‚ but all submitted work must be your own. If you work with others‚ please note who they are. Please type or write your answers on a separate sheet of paper. Your work must be organized and legible – if your TF can′ t understand what you wrote‚ they won′ t give you credit. Show your work for derivations and calculations. Be sure to calculate all results fully (don′ t leave
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Duality in Linear Programming 4 In the preceding chapter on sensitivity analysis‚ we saw that the shadow-price interpretation of the optimal simplex multipliers is a very useful concept. First‚ these shadow prices give us directly the marginal worth of an additional unit of any of the resources. Second‚ when an activity is ‘‘priced out’’ using these shadow prices‚ the opportunity cost of allocating resources to that activity relative to other activities is determined. Duality in linear programming
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The 27 Amendments to the Constitution have had a profound impact on our country. Although all of the Amendments have had a direct effect on the citizens of the United States‚ there are three amendments that stand out above all of the others due to their impact and significance. The three amendments to the Constitution that I think are the most important to the American people are Amendments one‚ two‚ and four. #1 Freedom of Speech is to help people speak and write freely without any punishment.
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Assignment # 1 Forecasting (Total marks: 100) Following 10 Problems are for submission Problem 1: [12] Registration numbers for an accounting seminar over the past 10 weeks are shown below: |Week 1 2 3 4 5 6 7 8 9 10 | |Registrations 24 23 28 30 38 32 36 40 44 40 | a) Starting with week 2 and ending with
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Regression Analysis Exercises 1- A farmer wanted to find the relationship between the amount of fertilizer used and the yield of corn. He selected seven acres of his land on which he used different amounts of fertilizer to grow corn. The following table gives the amount (in pounds) of fertilizer used and the yield (in bushels) of corn for each of the seven acres. |Fertilizer Used |Yield of Corn | |120
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An Introduction to Linear Programming Steven J. Miller∗ March 31‚ 2007 Mathematics Department Brown University 151 Thayer Street Providence‚ RI 02912 Abstract We describe Linear Programming‚ an important generalization of Linear Algebra. Linear Programming is used to successfully model numerous real world situations‚ ranging from scheduling airline routes to shipping oil from refineries to cities to finding inexpensive diets capable of meeting the minimum daily requirements. In many of these problems
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