Regression Analysis by ExampleThe essentials of regression analysis through practical applications Regression analysis is a conceptually simple method for investigating relationships among variables. Carrying out a successful application of regression analysis, however, requires a balance of theoretical results, empirical rules, and subjective judgement. Regression Analysis by Example, Fourth Edition has been expanded and thoroughly updated to reflect recent advances in the field. The emphasis continues to be on exploratory data analysis rather than statistical theory. The book offers in-depth treatment of regression diagnostics, transformation, multicollinearity, logistic regression, and robust regression. This new edition features the following enhancements:
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Page xiii
... examine the interrelationships among a given set of variables. The emphasis is not on formal statistical tests and probability calculations. We argue for an informal analysis directed towards uncovering patterns in the data. We utilize ...
... examine the interrelationships among a given set of variables. The emphasis is not on formal statistical tests and probability calculations. We argue for an informal analysis directed towards uncovering patterns in the data. We utilize ...
Page 1
... examine whether cigarette consumption is related to various socioeconomic and demographic variables such as age, education, income, and price of cigarettes. The relationship is expressed in the form of an equation or a model connecting ...
... examine whether cigarette consumption is related to various socioeconomic and demographic variables such as age, education, income, and price of cigarettes. The relationship is expressed in the form of an equation or a model connecting ...
Page 7
... criticism 0 Using the chosen model(s) for the solution of the posed problem. These steps are examined below. Table 1.6 First Six Variables of the Domestic Immigration Data. STEPS lN FIEGFIESSION ANALYSIS 7 1.4 Steps in Regression Analysis.
... criticism 0 Using the chosen model(s) for the solution of the posed problem. These steps are examined below. Table 1.6 First Six Variables of the Domestic Immigration Data. STEPS lN FIEGFIESSION ANALYSIS 7 1.4 Steps in Regression Analysis.
Page 26
... examine the scatter plot of Y versus X before interpreting the numerical value of Cor(Y, X). 2.3 EXAMPLE: COMPUTER REPAIR DATA As an illustrative example, consider a case of a company that markets and repairs small computers. To study ...
... examine the scatter plot of Y versus X before interpreting the numerical value of Cor(Y, X). 2.3 EXAMPLE: COMPUTER REPAIR DATA As an illustrative example, consider a case of a company that markets and repairs small computers. To study ...
Page 27
... examine the corresponding scatter plot of Y versus X. This plot is given in Figure 2.4. The high value of Cor(Y, X) = 0.996 is consistent with the strong linear relationship between Y and X exhibited in Figure 2.4. We therefore conclude ...
... examine the corresponding scatter plot of Y versus X. This plot is given in Figure 2.4. The high value of Cor(Y, X) = 0.996 is consistent with the strong linear relationship between Y and X exhibited in Figure 2.4. We therefore conclude ...
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Common terms and phrases
analyzed assumptions autocorrelation book’s Chapter classification Coefficient s.e. t-test collinearity confidence interval Cor(Y correlation coefficient corresponding data set defined degrees of freedom deleted denote discussed distribution DOPROD Durbin-Watson statistic eigenvalues estimated regression coefficients examine Figure first fit fitted values full model given in Table graph Hadi heteroscedasticity index plot indicator variables influence ith observation least squares estimates linear model linear regression linear regression model linear relationship linearizable logistic regression mean square measures method multicollinearity multiple regression nonlinear null hypothesis obtained outliers Poisson regression predictor variables principal components problem reduced model regression analysis regression coefficients regression equation regression output regression results residual plots response variable ridge regression ridge trace robust regression s.e. t-test p-value sample scatter plot significant simple regression specific standard deviation standard error standardized residuals versus subset sum of squares t-test p-value Constant Variable Coefficient s.e. variables X1 variance weight zero
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