l Regression Analysis Basic Concepts & Methodology 1. Introduction Regression analysis is by far the most popular technique in business and economics for seeking to explain variations in some quantity in terms of variations in other quantities‚ or to develop forecasts of the future based on data from the past. For example‚ suppose we are interested in the monthly sales of retail outlets across the UK. An initial data analysis would summarise the variability in terms of a mean and standard
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Types of regression and linear regression equation 1. The term regression was first used as a statistical concept in 1877 by Sir Francis Galton. 2. Regression determines ‘cause and effect’ relationship between variables‚ so it can aid to the decision-making process. 3. It can only indicate how or to what extent variables are associated with each other. 4. There are two types of variables used in regression analysis i.e. The known variable is called as Independent Variable and the variable which
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money in stock market‚ is not sure that he could earn a profit or lose his money when he invests to an AT&T company’s stock or a stock market index‚ Dow Jones Industry Average. So he called his friend who works at financial consulting company and heard that the monthly positive and negative investment returns on AT&T and Dow Jones Industry Average were historically almost the same. However the economic situation recently has been getting better than in previous years. So before investing he is going
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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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Simple Linear Regression in SPSS 1. STAT 314 Ten Corvettes between 1 and 6 years old were randomly selected from last year’s sales records in Virginia Beach‚ Virginia. The following data were obtained‚ where x denotes age‚ in years‚ and y denotes sales price‚ in hundreds of dollars. x y a. b. c. d. e. f. g. h. i. j. k. l. m. 6 125 6 115 6 130 4 160 2 219 5 150 4 190 5 163 1 260 2 260 Graph the data in a scatterplot to determine if there is a possible linear relationship. Compute and interpret
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ANALYSIS OF SICKNESS ABSENCE USING POISSON REGRESSION MODELS David A. Botwe‚ M.Sc. Biostatistics‚ Department of Medical Statistics‚ University of Ibadan Email: davebotwe@yahoo.com ABSTRACT Background: There is the need to develop a statistical model to describe the pattern of sickness absenteeism and also to predict the trend over a period of time. Objective: To develop a statistical model that adequately describes the pattern of sickness absenteeism among workers. Setting: University College
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Chapter 13 Linear Regression and Correlation True/False 1. If a scatter diagram shows very little scatter about a straight line drawn through the plots‚ it indicates a rather weak correlation. Answer: False Difficulty: Easy Goal: 1 2. A scatter diagram is a chart that portrays the correlation between a dependent variable and an independent variable. Answer: True Difficulty: Easy Goal: 1 AACSB: AS 3. An economist is interested in predicting
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Business Management Masters of Business Administration Regression Project Estimating Stock Prices of Independent E&P Companies Assignment for Course: HR 533‚ Applied Managerial Statistics Submitted to: Professor Mohamed Nayebpour Submitted by: Leah A. O’Daniels Location of Course: Blended – Houston Campus & On-line Date of Submission: December 16‚ 2011 Regression Analysis: StockPrice versus Sales(B) The regression equation is StockPrice = 15.64 + 4.441 Sales(B) S = 11
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http://www.mathsisfun.com/data/standard-normal-distribution-table.html (Z table) http://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf (t table) Critical Values (Z) Level of Significance 1% 2% 4% 5% 10% Two Tailed ±2.56 ±2.32 ±2.05 ±1.96 ±1.64 Right tailed +2.32 +2.05 +1.75 +1.64 +1.28 Left tailed -2.32 -2.05 -1.75 -1.64 -1.28 Q1) A cinema hall has cold drinks fountain supplying Orange and Ditzy Colas. When the machine is turned on‚ it fills a 550ml cup with 500ml of the
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violation of assumptions. (Let y = arterial oxygen and x = blood flow). twoway (scatter y x) (lfit y x) regress y x rvpplot x 2. Since regression diagnostics failed‚ we transform our data. Ratio transformation was used to generate the dependent variable and reciprocal transformation was used to generate the independent variable. 3. Check if the model is adequate by checking the t-statistic‚ R2 and F-statistic. F statistic reveals that the equation used to determine the relationship between
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