Exam 17: Correlation and Regression

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When determining the statistical significance of the relationship between two variables measured by using r, the hypotheses to be tested are H0: q = 0 and H1:q × 0

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Which statistic is associated only with multiple regression and not with bivariate regression?

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The standard deviation of b, or the standard error, is denoted as .

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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 a = 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 standard error of estimate, SEE, is the standard deviation of the actual Y values from the predicted Y^ values.

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Which of the following is a measure of nonmetric correlation?

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The purpose of stepwise regression is to select, from a large number of predictor variables, a small subset of variables that account for most of the variation in the dependent or criterion variable.

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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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Which statement is not true about correlation matrices?

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In multiple regression, if the overall null hypothesis is rejected, .

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The equation for r is represented as _.

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In bivariate regression, which statement is true concerning the coefficient of determination, r2?

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When there are a large number of independent variables and the researcher suspects that not all of them are significant, stepwise regression should be used.

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is a statistical technique that simultaneously develops a mathematical relationship between two or more independent variables and an interval- scaled dependent variable.

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

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Which statement is not true about partial regression coefficients?

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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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The order associated with a partial correlation indicates how many variables are being adjusted or controlled.

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Regression analysis is concerned with the nature and degree of association between variables and does not imply or assume any causality.

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The term beta coefficient, or beta weight, is used to denote the standardized regression coefficient.

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