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E281 Fall 2016 Simple Regression Opportunity – 50 pointsDue Thursday, September 29, by 6 p.m.You have been given the task of determining if a horseâs current race finishing position can bepredicted from the horseâs previous race finishing position. You have data from 102 Australianhorses about their finishing position in the current race and their finishing position from their lastrace. Follow the steps we use in class to analyze the simple regression model. The data for theopportunity is in the file (Horse Racing at Eagle Farm Simple Regression).Remember, itâs OK that this isnât entirely perfect on the first attempt. Thatâs why weâll be doingtwo opportunities. What I want to see is that you have given this a legitimate attempt.Try to run the following charts, scatter plots, statistics, etc. to support the use of the linearregression model for this situation.Scatterplot, IV vs. DV with regression line and r2ResidualsScatterplot, Residuals vs. IV (residual plot)Durbin-Watson statisticRegression Statistics (b0 and b1, multiple r, r2, SST, SSR, and SSE) highlighted in yourregression outputAnalyze the model and answer the following questions in paragraph form. Give me a fewsentences as justification using the values from your output.1. Can you predict current race finishing position with last race finishing position using alinear regression model? Were any violations of the assumptions of linear regressionfound?2. How accurate is your model? (i.e., What is the coefficient of determination?) What is thestandard error of the estimate (Sxy) value and what does this tell us?3. What is the magnitude of the relationship between current race finishing position and lastrace finishing position?4. What would you predict current race finishing position to be if the last race finishingposition is 4th?5. What would you predict current race finishing position to be if the last race finishingposition is 21st?6. Is there a statistically significant relationship between last finishing position and currentrace finishing position?Finishing Position Current RaceFinishing Position Last Race1234567812345678910111212345678912345678910111213141234132158
