Exam 10: Regression Analysis: Estimating Relationships

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A "fan" shape in a scatterplot indicates

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We should include an interaction variable in a regression model if we believe that the effect of one explanatory variable We should include an interaction variable in a regression model if we believe that the effect of one explanatory variable   on the response variable Y depends on the value of another explanatory variable   . on the response variable Y depends on the value of another explanatory variable We should include an interaction variable in a regression model if we believe that the effect of one explanatory variable   on the response variable Y depends on the value of another explanatory variable   . .

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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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A regression analysis between X = sales (in $1000s)and Y = advertising (in $)resulted in the following least squares line: A regression analysis between X = sales (in $1000s)and Y = 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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The adjusted R2 is used primarily to monitor whether extra explanatory variables belong in a multiple regression model.

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The percentage of variation ( The percentage of variation (   )can be interpreted as the fraction (or percent)of variation of the )can be interpreted as the fraction (or percent)of variation of the

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In choosing the "best-fitting" line through a set of points in linear regression,we choose the one with the

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An outlier is an observation that falls outside of the general pattern of the rest of the observations on a scatterplot.

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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 a simple regression analysis,if the standard error of estimate In a simple regression analysis,if the standard error of estimate   = 15 and the number of observations n = 10,then the sum of the residuals squared must be 120. = 15 and the number of observations n = 10,then the sum of the residuals squared must be 120.

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A negative relationship between an explanatory variable X and a response variable Y means that as X increases,Y decreases,and vice versa.

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In linear regression,we fit the least squares line to a set of values (or points on a scatterplot).The distance from the line to a point is called the

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The term autocorrelation refers to

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Scatterplots are used for identifying outliers and indicating what you should do about the outliers you may find.

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Outliers are observations that

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In linear regression,we can have an interaction variable.Algebraically,the interaction variable is the _____ of two variables.

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_____ is/are especially helpful in identifying outliers.

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The correlation value ranges from

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In regression analysis,the variable we are trying to explain or predict is called the _____ variable.

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Approximately what percentage of the observed Y values are within one standard error of the estimate ( Approximately what percentage of the observed Y values are within one standard error of the estimate (   )of the corresponding fitted Y values? )of the corresponding fitted Y values?

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