SIMPLE VERSUS MULTIPLE REGRESSION The difference between simple and multiple regression is similar to the difference between one way and factorial ANOVA. Like one-way ANOVA‚ simple regression analysis involves a single independent‚ or predictor variable and a single dependent‚ or outcome variable. This is the same number of variables used in a simple correlation analysis. The difference between a Pearson correlation coefficient and a simple regression analysis is that whereas the correlation does
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P(x) = 300 — 4x. The cost function is c(x) = 500 + 28x where x is the number of units produced. Find x so that the profit is maximum. Question: 1) Find the value of x. 2) In using regression analysis for making predictions what are the assumptions involved. 3) What is a simple linear regression model? 4) What is a scatter diagram method? CASE STUDY : 3 Mr Sehwag invests Rs 2000 every year with a company‚ which pays interest at 10% p.a. He allows his deposit
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Linear Regression & Best Line Analysis Linear regression is used to make predictions about a single value. Linear regression involves discovering the equation for a line that most nearly fits the given data. That linear equation is then used to predict values for the data. A popular method of using the Linear Regression is to construct Linear Regression Channel lines. Developed by Gilbert Raff‚ the channel is constructed by plotting two parallel‚ middle lines above and below a Linear Regression
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Introduction: The main idea of a multiple regression analysis is to understand the relationship between several independent variables and a single dependent variable. (Lind‚ 2004) A model of the relationship is hypothesized‚ and estimates of the parameter values are used to develop an estimated regression equation.(abyss.uoregon.edu) The multiple regression equation used to describe the relationship is: Y’ = a + b1X1 + b2X2 + b3X3 + . + bkXk. It is used to estimate Y given selected X values
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HW#3 Run regression analysis using the Energy Drinks Data posted on elearning. You can work by yourself‚ or work in a group (up to 5 students per group) and submit one homework per group. 1. (a) Run the linear regression model that express quantity sales (oz) of Full-Throttle as the dependent variable; the list of explanatory variables are price of Full-Throttle‚ the price of Monster‚ price of Red Bull‚ price of Rockstar and customer count. Submit the excel output. What is the R2 value? What
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CHAPTER 4 – THE BASIS OF STATISTICAL TESTING * samples and populations * population – everyone in a specified target group rather than a specific region * sample – a selection of individuals from the population * sampling * simple random sampling – identify all the people in the target population and then randomly select the number that you need for your research * extremely difficult‚ time-consuming‚ expensive * cluster sampling – identify
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Introduction to Linear Regression and Correlation Analysis Goals After this‚ you should be able to: • • • • • Calculate and interpret the simple correlation between two variables Determine whether the correlation is significant Calculate and interpret the simple linear regression equation for a set of data Understand the assumptions behind regression analysis Determine whether a regression model is significant Goals (continued) After this‚ you should be able to: • Calculate and
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DETERMINANTS AND ECONOMIC CONSEQUENCES OF COLONIZATION: A GLOBAL ANALYSIS Arhan S. Ertan‚ Louis Putterman Abstract Existing research in the area of economic growth suggests that the era of colonization has had an impact upon the modern levels of economic development of countries around the globe. However‚ why some countries were colonized early‚ some late‚ and others not at all‚ and what effect these differences have on current national income‚ has not been studied systematically. In the first part
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Chapter 6: Multiple Linear Regression Data Mining for Business Intelligence Shmueli‚ Patel & Bruce © Galit Shmueli and Peter Bruce 2010 Topics Explanatory vs. predictive modeling with regression Example: prices of Toyota Corollas Fitting a predictive model Assessing predictive accuracy Selecting a subset of predictors (variable selection) Explanatory Modeling Goal: Explain relationship between predictors (explanatory variables) and target Familiar use of regression in data analysis Multiple
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21‚ 27 and 34 Session 8 Goodness of Fit and Independence Chap. 11 Session 9 Problems Chap. 11: 3‚ 11‚ 13‚ 19‚ and 21 Session 9 Simple Linear Regression Chap. 12 Session 10 Problems Chap. 12: 4‚ 15‚ 18‚ 23‚ 26‚ 32‚ 40 and 47 Session 10 Multiple Regression Chap. 13 Session 11 Problems Chap. 13: 5‚ 15‚ 23‚ 28‚ 32 and 34 Session 11 Regression Analysis: Model Building Chap. 16(annex) Session 12 Problems Chap 16: 1‚ 12‚ 16 and 21 Session 12 Final Exam Every week one team will solve
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