Exam 9: Multiple Regression: Modeling Multivariate Relationships

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If the dependent variable is an ordinal scale,then the proper regression model to use is the

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Regression presumes the following theoretical model for the population: Y=β0+β1X1+β2X2++βkXk+εY = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 2 } + \ldots + \beta _ { k } X _ { k } + \varepsilon where Y is the dependent variable,the Xs are the independent variables,the ?s are the coefficients of the independent variables,and ? is the error.

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Which list of common variables below would be examples of continuous data?

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  -The regression output above indicates that an additional year in age increases the chance a respondent is male by -The regression output above indicates that an additional year in age increases the chance a respondent is male by

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Predicting one dependent variable based on many independent variables is called

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In multiple regression,the intercept is the value of Y when

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  -Based on the output above,the LOGIT model correctly predicted the female gender -Based on the output above,the LOGIT model correctly predicted the female gender

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Describe the different types of analysis for the different data types of dependent variable.

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  -The regression output above indicates that a 1 inch increase in Height increases the chance a respondent is male by -The regression output above indicates that a 1 inch increase in Height increases the chance a respondent is male by

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Standardized residuals are used to determine if there are any potential outliers in the data.Data points that are greater that have residuals higher than _______________ in magnitude should be examined,unless the data set is very large.

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_______________ occurs when a number of potential predictors in a regression model are highly correlated.

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Describe what regression is and what it is used for.

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Explain the problems of non-normality,heteroscedasticity,and autocorrelation and how researchers can detect each.

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To determine if a regression model is useful,the

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A histogram will show if the data points are normally distributed.

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Use the regression output below to answer the following questions. Lingar Reperaidion Anthyis: Dep Var (X)=( X ) = Weight X={AX = \{ A Ee, Gender, Heifht, MBA, YY ear }\} Coefficients Std. Error Std. Beta -test Statistic -value Two Tailed Intercept -210.603 20.560 -10.243 0.0000 Age 0.660 0.279 0.101 2.363 0.0186 Gender 17.449 2.450 0.267 7.122 0.0000 Height 4.999 0.294 0.613 16.982 0.0000 MBA -3.122 3.063 -0.043 -1.019 0.3087 Year -0.111 0.507 -0.006 -0.218 0.8274 Adj. () 0.834 0.696 0.693 17.879 448 Source of Variation Sum of Squares Mean Squares F-test Statistic -value One Tailed Regression 323592.24 5 64718.4 202.471 0.0000 Error 141282.23 442 319.643 Total 464874.47 447 -Given that Gender was coded female=0 and male=1,on the average,how much more do males weight than females,"correcting for" (i.e.,including the effects of)all the other variables in the regression?

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Y=aebXY = a e ^ { b X } is the form of a geometric relationship.

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In binary regression,probability data for predicting binary variables is transformed using

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The problem with heteroscedasticity is that researchers tend to be underconfident,i.e.they must make statements as if the data is worse than it actually is.

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The Breusch-Pagan test detects whether data is normally distributed.

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