Exam 10: Regression Analysis: Estimating Relationships

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A correlation value of zero indicates.

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A logarithmic transformation of the response variable Y is often useful when the distribution of Y is symmetric.

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Use what you have learned about transformations to fit an alternative model to the one in Question 135.

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The term autocorrelation refers to:

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A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:

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The effect of a logarithmic transformation on a variable that is skewed to the right by a few large values is to "squeeze" the values together and make the distribution more symmetric

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In linear regression,we can have an interaction variable.Algebraically,the interaction variable is the other variables in the regression equation.

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(A)Use the information above to estimate the linear regression model. (B)Interpret each of the estimated regression coefficients of the regression model in (A). (C)Would any of the variables in this model be considered a dummy variable? Explain your answer. (D)Identify and interpret the coefficient of determination ( (A)Use the information above to estimate the linear regression model. (B)Interpret each of the estimated regression coefficients of the regression model in (A). (C)Would any of the variables in this model be considered a dummy variable? Explain your answer. (D)Identify and interpret the coefficient of determination (   )and the standard error of the estimate (s<sub>e</sub>)for the model in (A). )and the standard error of the estimate (se)for the model in (A).

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In a nonlinear transformation of data,the Y variable or the X variables may be transformed,but not both.

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The residual is defined as the difference between the actual and predicted,or fitted values of the response variable.

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In regression analysis,which of the following causal relationships are possible?

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The multiple standard error of estimate will be:

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The correlation value ranges from

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A regression analysis between sales (in $1000)and advertising (in $)resulted in the following least squares line: A regression analysis between sales (in $1000)and advertising (in $)resulted in the following least squares line:   = 32 + 8X.This implies that an increase of $1 in advertising is expected to result in an increase of $40 in sales. = 32 + 8X.This implies that an increase of $1 in advertising is expected to result in an increase of $40 in sales.

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Outliers are observations that

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For the multiple regression model For the multiple regression model   ,if   were to increase by 5 units,holding   and   constant,the value of Y would be expected to decrease by 50 units. ,if For the multiple regression model   ,if   were to increase by 5 units,holding   and   constant,the value of Y would be expected to decrease by 50 units. were to increase by 5 units,holding For the multiple regression model   ,if   were to increase by 5 units,holding   and   constant,the value of Y would be expected to decrease by 50 units. and For the multiple regression model   ,if   were to increase by 5 units,holding   and   constant,the value of Y would be expected to decrease by 50 units. constant,the value of Y would be expected to decrease by 50 units.

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Scatterplots are used for identifying outliers and quantifying relationships between variables.

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The multiple R for a regression is the correlation between the observed Y values and the fitted Y values. .

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In multiple regression,the constant In multiple regression,the constant   : :

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In reference to the equation, In reference to the equation,   ,the value 0.10 is the expected change in Y per unit change in   . ,the value 0.10 is the expected change in Y per unit change in In reference to the equation,   ,the value 0.10 is the expected change in Y per unit change in   . .

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