Exam 16: Regression

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A high standard error of the estimate indicates that the:

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The slope is the amount that Y is predicted to increase for an increase of 1 in X.

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The correlation between the number of ounces of candy a child consumes weekly and the number of cavities the child has at the age of 13 is 0.78.If a child has a z score of -0.85 on the candy-consumed variable, the z score on the variable number of cavities would be predicted to be:

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The regression line is the line that:

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Dr.Garoule is trying to determine which of his patients has the highest likelihood of depression.He calculates a linear regression equation with the scores on an anxiety measure, which are positively correlated with scores on a scale measuring depression.Dr.Garoule converts patient D's anxiety score to a z score and predicts the z score for the depression scale to be -0.35.Is patient D's raw score for depression above or below the mean and why?

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The intercept is the predicted value for Y when X is equal to 1.

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The arrows in a structural equation model indicate the:

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If the standard error of the estimate is zero, the relation between two variables is:

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Regression capitalizes on correlation by using what is known about the relation between two variables to make predictions beyond those variables.

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When a regression equation includes just one independent variable, the value of the standardized regression coefficient is:

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A multiple regression analysis revealed the following equation relating the time (in hours) it takes to complete a puzzle based on the number and size of pieces: Ŷ = 1.5 + 0.014 (Xnumber of pieces) - 1.2 (Ysize of pieces).If a puzzle has 500 pieces, with a size value of 0.5 inches, how long will it take to complete?

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As the correlation coefficient becomes stronger, proportionate reduction in error:

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Correlation involves relating variables, whereas regression involves prediction.

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The standardized regression coefficient expresses a predicted change in the dependent variable in terms of:

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The proportionate reduction in error is a measure of the:

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In the social sciences, there are numerous variables that can be discussed and considered as important phenomena, but they cannot be observed directly.These are called _____ variables.However, _____ variables, which can be observed and measured, are used to assess the intangible variables.

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Dr.Kim thinks his regression equation is very accurate, but he wonders if perhaps the mean is just as good at predicting scores as the regression equation.He knows that the correlation coefficient (r) for the two variables is quite high, -0.82.Should Dr.Kim use the mean or the regression equation to predict scores?

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In a 2008 article by Hsiu-Ling Lee, data from 147 colleges from 1995 to 2005 were used to predict endowments to a college from the average SAT score of students attending the college, among other variables.The resulting regression equation for just these variables was Ŷ = -20.46 + 4.06(X).Using the regression equation, what would be predicted to be the endowments (in billions) to a college whose students' average SAT score is 1020?

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In the equation for a line in statistics, the _____ is the predicted amount of increase for Y when X is increased by 1, and the _____ is the predicted value for Y when X crosses the y-axis (X = 0).

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The standardized regression coefficient, which is equal to the Pearson correlation coefficient in a simply linear regression, is also called:

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