Exam 7: Linear Regression

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If s X = s Y then r = b Y .

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The regression constant for predicting Y given X is symbolized by _________.

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A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat of the individual. The following scores are recorded. A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat of the individual. The following scores are recorded.   If an individual has 22% fat, his predicted amount of daily exercise is _________. If an individual has 22% fat, his predicted amount of daily exercise is _________.

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The assumption of homoscedasticity is that _________.

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In regression analysis we are only concerned with perfect as opposed to imperfect relationships.

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If there is no relationship between the X and Y variables and we desire to predict Y given X using a least-squares criterion, it is best to predict If there is no relationship between the X and Y variables and we desire to predict Y given X using a least-squares criterion, it is best to predict   for every Y score. Is this correct? If so, explain why. (Hint: one of the properties of the mean might be helpful here) for every Y score. Is this correct? If so, explain why. (Hint: one of the properties of the mean might be helpful here)

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When predicting Y given X , _________.

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S ( Y - Y' ) equals _________.

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When predicting Y from two variables relative to using only one variable, _________.

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If b Y is negative, higher values of X are associated with _________.

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For regression purposes, it is customary to assign Y to the variable we are predicting from.

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If s Y = s X , then r = b Y .

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A friend that thinks a lot about statistics asserts that, "the closer the points in the scatter plot are to the least-squares regression line, the higher the correlation." Is your friend correct? Discuss.

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The regression of Y on X _________.

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The primary reason we use a scatter plot in linear regression is _________.

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Properly speaking, we should limit our predictions to the range of the base data.

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-If r = 0.4582, s Y = 3.4383, and s X = 5.2165, the value of b Y = _________.

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If If   = 0.0 the relationship between the variables is _________. = 0.0 the relationship between the variables is _________.

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The higher the r value, the lower the standard error of estimate.

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When using more than one predictor variable, _________ tells us the proportion of variance accounted for b y the predictor variables.

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