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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Real Life versus Perfect Life Have you ever thought about how your real life would compare to your perfect life? Seven years ago I actually thought about this. When I was 21 years old I had my first child‚ a son Jayson Alexander Raney. I was working as a cashier at Food Lion‚ and my boyfriend was working at Advance Auto Parts. Our home was a two bedroom apartment that we shared with his mother. I knew that we weren’t financially prepared to provide for our son. I enrolled at Robeson Community College
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1. Calculate real GDP for 2004 and 2005 using 2004 prices. To calculate the real GDP we use the constant price for 2004 which was $20. Real GDP (base year 2004) 2004 ($20 per CD x 100 CD’s) + ($110 per racquet x 200 racquets) = 24000 2005 ($20 per CD x 120 CD’s) + ($110 per racquet x 210 racquets) = 25500 By what percentage did real GDP grow? Because the Real GDP was $24000 in 2004 and $25500 in 2005‚ real GDP grew by ($25500 - $24000) / $24000 = 0.0625 or 6.25% 2. Calculate the
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Cox Regression Models Questions with Answers Worked Example An investigation is carried out into popularity of new cars being bought in the showroom of a Mercedes dealer. Data recorded for each car included colour‚ engine size and car type. A Cox proportional hazards model was fitted to the data and the results are given below: Write down the Cox hazard function according to this model. With regards to the model you have written down above state the following: • To which class of car does the
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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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PREDICT ARTIRIAL OXYGEN. 1. Always start with scatter plot to see if the data is linear (i.e. if the relationship between y and x is linear). Next perform residual analysis and test for 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
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techniques‚ culminating in a final forecast that is the consensus of all participating managers. False (Global company profile: Tupperware Corporation‚ moderate) 2. The forecasting time horizon and the forecasting techniques used tend to vary over the life cycle of a product. True (What is forecasting? moderate) 3. Sales forecasts are an input to financial planning‚ while demand forecasts impact human resource decisions. True (Types of forecasts‚ moderate) 4. Forecasts of individual products
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Harriet Tubman risked her life over a period of ten years guiding African American slaves through the Underground Railroad towards their freedom. She led hundreds of slave through a net work under ground of safe houses were slaves could stay on their journey north. This hero was known as the “Moses of her Time.” Harriet Tubman‚ during nights as slaves slept came and led them towards the Underground Railroad where they could travel north to free states. Ms. Tubman later in her life was leader in the abolitionist
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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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