Exam 9: Multiple Regression: Modeling Multivariate Relationships

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The t-test is the first thing that should be checked in a regression output.If it is not significant,then the entire model is not providing sufficient explanatory power.

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Identifying nonlinear relationships between variables is accomplished by transforming one or more variables and then estimating the fit with

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In binary regression,it would be inappropriate to put a line through the observations in a data plot,because the values of the independent variables can only be 0 or 1.

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_______________ occurs when the error does not have a constant variance.

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All regression models,including simple linear,binary,ordinal,multinomial logit,rank-ordered,and count,can be viewed as special cases of the general formulation called the General Linear Model.

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Discuss its limitations of regression.

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The best way to see if heteroscedasticity is present is to

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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 -For each additional inch of Height,how much additional Weight would be added?

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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. SE(Reg) 0.834 0.696 0.693 17.879 448 Source of Variation Sum of Squares df 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 -Which statistics should one look at to determine which of the independent variables are most significant in the regression?

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All of the following statements about regression are true except:

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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. SE(Reg) 0.834 0.696 0.693 17.879 448 Source of Variation Sum of Squares df 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 -According to the regression output above,which of the following statements most accurately summarizes what can be said,for the entire population,about the weight of individuals with an MBA (MBA=1)versus the weight of individuals without an MBA (MBA=0)?

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Polynomial regression is a robust method that should be among the first transformations to try on nonlinear data.

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Violating the underlying assumptions of regression can lead to all of the following problems except

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

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