Exam 17: Correlation and Regression

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The partial correlation coefficient is generally viewed as more important than the part correlation coefficient.

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The equation for r is represented as ________.

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The product moment correlation,r,is the most widely used statistic summarizing the strength of association between two metric (interval or ordinal scaled)variable,say X and Y.

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Which statement is not true about regression analysis?

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The general form of the multiple regression model is estimated by which equation?

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The product moment correlation,r2,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

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The ________ is a statistic summarizing the strength of association between two metric variables.

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The product moment correlation helps us determine the strength of the association between two metric variables.Regression analysis helps us determine which variables cause a change in other variables.

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The vertical distance from a point to the regression line is the squared error,e2.

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Partial correlations have an order associated with them.The order indicates how many variables are being adjusted or controlled.The simple correlation coefficient,r,has a ________,as it does not control for any additional variables when measuring the association between two variables.The coefficient rsy.z is a ________ partial correlation coefficient,as it controls for the effect of one additional variable,Z.

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________ is a regression procedure in which the predictor variables enter or leave the regression equation one at a time.

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When considering nonmetric correlation,as a rule of thumb,________ is to be preferred when a large number of cases fall into a relatively small number of categories (thereby leading to a large number of ties).

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If a variable explains a significant proportion of the residual variation,it should be considered for inclusion in the regression equation.

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Suppose a researcher wants to explain attitudes towards a respondent's city of residence in terms of duration of residence in the city.The attitude is measured on an 11-point scale and the duration of residence is measured in terms of the number of years the respondent has lived in the city.In a pretest of 12 respondents,the calculated t value for the correlation coefficient based on the data given is 8.414.The critical value of t for a two-tailed test and α = 0.05 is 2.228.r = .9361.What is the null hypothesis for this scenario? What do the results mean in terms of the null hypothesis and the correlation coefficient,r?

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The partial correlation coefficient is a measure of the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y.

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The ________ denotes the change in the predicted value,Ŷ,per unit change in X1 when the other independent variables,X2 to Xk, are held constant.

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In what ways can regression analysis be used?

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The relationship between X and Y is spurious if ________.

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Which of the following situations is best addressed by regression?

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The bivariate regression model that accounts for the probabilistic or stochastic nature of the relationship between X and Y is ________.

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