Exam 19: Correlation Analysis and Regression Analysis

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The point estimates b0 and b1 in a regression analysis, tend to increase the total sum of squares.

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In analysis of variance, the hypothesis that the means are equal will be rejected if a) the total mean square error is significantly greater than either the explained or unexplained mean square error b) the total mean square error is significantly greater than the unexplained c) the mean square error explained is significantly greater than the mean square unexplained d) the mean square error unexplained is significantly greater than the mean square explained

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A regression model can be used to explain, predict and control the dependent variable, on the basis of independent variables.

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A regression analysis has shown that there is a definite, positive relationship between sales dependent variable) and advertising and sales promotion all units in dollars).The estimated relationship is sales = 3) advertising + 1) sales promotion + 1,500.Based on the given information

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The model: Y = The model: Y =   +  X<sup>2</sup> + e hypothesizes a curvilinear relationship between X and Y. + The model: Y =   +  X<sup>2</sup> + e hypothesizes a curvilinear relationship between X and Y.X2 + e hypothesizes a curvilinear relationship between X and Y.

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Consider the following model: Y = Consider the following model: Y =  +  X ++ Consider the following model: Y =  +  X +X +

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Partial correlation coefficient is the measure of association between two variables controlling for the effect of one or more additional variables.

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A regression model can accurately predict the level of a dependent variable in a changing market environment.

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The measures of association represented by r and r2 are a) symmetric b) dependent c) asymmetric d) independent

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Which of the following data analysis techniques can be termed analysis of dependence techniques?

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The difference between the actual and the predicted values in a regression equation is called residuals.

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The knowledge of the regression coefficient and the t value can suggest the extent of association an independent variable has on the dependent variable.

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In regression analysis, the dependent variable is sometimes called the predictor variable.

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In interpreting parameter coefficients, In interpreting parameter coefficients,   indicates that if the independent variable X is changed by one unit, the dependent variable Y will change by   units.In multiple regression, we add the constraint that the values of all other independent variables remain constant. indicates that if the independent variable X is changed by one unit, the dependent variable Y will change by 11efcb9b_6ea8_cb8d_b057_a37dcce9d7b9_TB7490_00 units.In multiple regression, we add the constraint that the values of all other independent variables remain constant.

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In the simple linear regression model, Y = In the simple linear regression model, Y =   +   X + e, + In the simple linear regression model, Y =   +   X + e, X + e,

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Correlation analysis involves measuring the strength of the relationship between two variables.

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r2 is the square of the correlation between X and Y and also the square of the correlation between Ŷ and Y.

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When testing the hypothesis that, in fact, When testing the hypothesis that, in fact,   = 0, the researcher is actually testing the hypothesis that the independent variable has no linear) effect on the dependent variable. = 0, the researcher is actually testing the hypothesis that the independent variable has no linear) effect on the dependent variable.

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If the standard deviation of X is approximated by s, then the standard deviation of the mean based on a sample size of n) is s/If the standard deviation of X is approximated by s, then the standard deviation of the mean based on a sample size of n) is s/ n.n.

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The coefficient of determination r2) measure the ability of the model to predict, and is the ratio of the explained variation to the total variation

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