Exam 17: Correlation and Regression

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In multiple regression,if the overall null hypothesis is rejected,we know which specific coefficients (βis)are nonzero.

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The ________ is a measure of the association between two variables after controlling or adjusting for the effects of one or more additional variables.

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Given the multiple regression equation,Ў= a + b1X1 + b2X2,and the bivariate equation = a + bX,why is the partial regression coefficient,b1,different from the regression coefficient,b,obtained by regressing Y on only X1?

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The estimated parameter b is usually referred to as the non-standardized regression coefficient.

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Regression analysis models helped Avon realize that employee benefits and the appointment fee that representatives pay for materials were significant variables affecting the decline in their sales staff.

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Which statement is not true about correlation matrices?

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A correlation matrix indicates the coefficient of correlation between each pair of variables.

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Regression in which a single independent variable has been recoded into dummy variables is equivalent to one-way analysis of variance.

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The formula for the coefficient of determination is r2 = SSreg/ SSy.

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The statistical significance of the linear relationship between X and Y may be tested by examining the hypotheses: H0: β1 ≠ 0;H1: β1 = 0.

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

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In the absence of ties,Kendall's τ yields a closer approximation to the Pearson product moment correlation coefficient,ǫ,than Spearman's ǫs.

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The standard error of estimate,SEE,is the standard deviation of the actual Y values from the predicted Ў values.

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The multiple correlation coefficient,R,can also be viewed as the simple correlation coefficient,r,between Y and Ў.

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Which of the following is not a problem associated with multicollinearity?

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The coefficient of multiple determination is adjusted for the number of dependent variables and the sample size to account for diminishing returns.

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________ is the appropriate test statistic to use to determine the significance of the coefficient of determination in bivariate regression.

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In the equation COVxy/ SxSy,Sx and Sy represent ________.

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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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