Exam 19: Regression Analysis in Marketing Research

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Which form of regression is useful when the researcher has many independent variables and wants to narrow the set down to a smaller number?

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We can sometimes improve a regression analysis finding by removing outliers and rerunning the regression analysis.

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Sometimes a researcher will find that the ANOVA F is not significant in regression analysis or if the F is significant, the R square is lower than desired. It is appropriate in these cases to:

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What criterion is used to establish the best "fit" of a straight line through the points on a scatter diagram?

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Which statistic is used to determine whether or not multicollinearity is a concern in multiple regression?

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A regression line using the "least squares criterion" will result in high residuals.

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When you compare how far the predicted values are from the actual or observed values, you are performing:

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In bivariate regression, if the F value is not significant (say .051), then:

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The two ways of making a prediction are extension analysis and astrological modeling.

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A good way to assess a predictive model's predictive accuracy is through:

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You run bivariate regression analysis and you find that the ANOVA results indicate that you have Sig. value for your F of .05. Now, looking under your Coefficients output, you have an intercept value and a slope value. You should use these values only when:

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The "goodness" of a prediction means its reliability.

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A graph of the dependent variable in multiple regression analysis is referred to as:

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In regression, the line that runs through the points on a scatter diagram is positioned to minimize the vertical distances away from the line of the various points because of the "least squares criterion."

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In the formula for bivariate regression analysis, the change in y for each one-unit change in x is known as the slope.

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When we want to use one variable to predict another and use the equation: y = a + bx, we use the technique known as multiple regression.

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In dummy coding, the 0-versus-1 code is traditional, but any two adjacent numbers could be used, such as 1 versus 2.

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A weather forecaster studies relationships among phenomena such as wind direction, barometric pressure, humidity, jet stream flow, and temperature. Based upon his or her knowledge of the relationships between these variables and the weather, the forecaster predicts there is an 80 percent chance of rain tomorrow. Which method of prediction have you used?

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Multicollinearity refers to correlations among the dependent variables and makes predictions much more accurate because predicting one variable also allows you to predict the correlated variable(s).

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If the ANOVA F test is not significant in bivariate regression analysis, we must trim the model by eliminating the insignificant dependent variable(s).

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