Exam 16: Regression

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There is an extremely high negative correlation between altitude and the percentage of oxygen in the air.Is it correct to say that high altitudes cause low amounts of oxygen in the air based on a linear regression equation and the Pearson correlation coefficient?

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

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Under what circumstance, unlikely as it might be, would the standard error of estimate be zero?

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What is the formula for predicting an individual's z score on the dependent variable from the z score on the independent variable using the correlation coefficient?

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Data from the World Health Organization in 2013 were used to predict the life expectancy for men in a country from the life expectancy of women in the country.The resulting regression equation was Ŷ = 3.73 + 0.88(X).Using the regression equation, what would be the predicted life expectancy of men in a country in which the life expectancy for women is 70 years?

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In looking at a graph of data, there seems to be a curved pattern, possibly because of the influence of a third variable.Should simple linear regression be used?

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Penny is figuring the regression line for some data but needs help in first figuring the predicted value of Y.She knows that the slope is 3 and the intercept is 4.What is the predicted Y value for an X score of 7?

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A simple way to calculate proportionate reduction in error is by:

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The tendency of scores that are particularly high or low to drift toward the mean over time is called:

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In the equation Ŷ = 98 + 4.30(X1) + 7.20(X2), what is/are the slope(s)?

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Every year it seems as though last season's baseball rookie of the year fails to live up to expectations for his sophomore season.What might explain this phenomenon?

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When drawing a line of best fit, it is "best" to use _____ point(s) of _____ value(s).

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For a simple linear regression, the standardized regression coefficient is:

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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 0.65.Is patient D's raw score for depression above or below the mean and why?

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The standard error of the estimate indicates:

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In the equation for a regression line, the intercept is the:

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It is impossible for the regression line to do a poorer job than the mean of predicting the dependent variable.

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Manifest variables are what we can observe and measure.

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Which statistic quantifies the improvement in ability to predict a person's score when using the regression line rather than the mean?

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In the formula Ŷ = a + b(X), a is the:

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