CORRELATION & REGRESSION 1.0 Introduction Correlation and regression are concerned with measuring the linear relationship between two variables. 1.1 Scattergram It is not a graph at all‚ it looks at first glance like a series of dots placed haphazardly on a sheet of graph paper. The purpose of scattergram is to illustrate diagrammatically any relationship between two variables. (a) If the variables are related‚ what kind of relationship it is‚ linear or nonlinear
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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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Multiple regression Aims • Explain the meaning of partial regression coefficient and calculate and interpret multiple regression models • Derive and interpret the multiple coefficient of determination R2and explain its relationship with the the adjusted R2 • Apply interval estimation and tests of significance to individual partial regression coefficients d d l ff • Test the significance of the whole model (F-test) Introduction • The basic multiple regression model is a simple extension
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Nonlinear regression From Wikipedia‚ the free encyclopedia Regression analysis Linear regression.svg Models Linear regression Simple regression Ordinary least squares Polynomial regression General linear model Generalized linear model Discrete choice Logistic regression Multinomial logit Mixed logit Probit Multinomial probit Ordered logit Ordered probit Poisson Multilevel model Fixed effects Random effects Mixed model Nonlinear regression Nonparametric Semiparametric Robust Quantile Isotonic
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Introduction This presentation on Regression Analysis will relate to a simple regression model. Initially‚ the regression model and the regression equation will be explored. As well‚ there will be a brief look into estimated regression equation. This case study that will be used involves a large Chinese Food restaurant chain. Business Case In this instance‚ the restaurant chain ’s management wants to determine the best locations in which to expand their restaurant business. So far the most
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REGRESSION ANALYSIS Correlation only indicates the degree and direction of relationship between two variables. It does not‚ necessarily connote a cause-effect relationship. Even when there are grounds to believe the causal relationship exits‚ correlation does not tell us which variable is the cause and which‚ the effect. For example‚ the demand for a commodity and its price will generally be found to be correlated‚ but the question whether demand depends on price or vice-versa; will not be answered
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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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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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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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Multiple regression‚ a time-honored technique going back to Pearson’s 1908 use of it‚ is employed to account for (predict) the variance in an interval dependent‚ based on linear combinations of interval‚ dichotomous‚ or dummy independent variables. Multiple regression can establish that a set of independent variables explains a proportion of the variance in a dependent variable at a significant level (through a significance test of R2)‚ and can establish the relative predictive importance
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