Exam 7: Linear Regression

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The regression coefficient for predicting Y given X is symbolized by _______

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During the past 5 years there has been an inflationary trend. Listed below is the average cost of a gallon of milk for each year. During the past 5 years there has been an inflationary trend. Listed below is the average cost of a gallon of milk for each year.   Assuming a linear relationship exists, and that the relationship continues unchanged through 1986, what would you predict for the average cost of a gallon of milk in 1986? Assuming a linear relationship exists, and that the relationship continues unchanged through 1986, what would you predict for the average cost of a gallon of milk in 1986?

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Multiple regression uses more than one predictor variable.

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The points (0,5) and (5,10) fall on the regression line for a perfect positive linear relationship. What is the regression equation for this relationship?

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The regression equation most often used in psychology minimizes _________.

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The total error in prediction equals S ( Y - Y').

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Pearson r is the slope of the least squares regression line when the scores are plotted as z scores.

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A hospital administrator wanted to predict the number of patients her hospital would admit in 1990. The following data were obtained from past records: A hospital administrator wanted to predict the number of patients her hospital would admit in 1990. The following data were obtained from past records:    A hospital administrator wanted to predict the number of patients her hospital would admit in 1990. The following data were obtained from past records:

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In multiple regression, if the second predictor variable correlates highly with the predicted variable, than it is quite likely that _________.

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Using a second predictor variable always increases the accuracy of prediction.

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If the correlation between two variables is 1.00, the standard error of estimate equals 0.

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Draw a graph of aptitude test score versus grade point average and construct the regression line for the line Y' = .005 X + 1.2.

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Define standard error of estimate.

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What would you predict for the value of Y for the point where the value of X is What would you predict for the value of Y for the point where the value of X is   ? ?

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You go to a carnival and a sideshow performer wants to bet you $100 that he can guess your exact weight just from knowing your height. It turns out that there is the following relationship between height and weight. You go to a carnival and a sideshow performer wants to bet you $100 that he can guess your exact weight just from knowing your height. It turns out that there is the following relationship between height and weight.   Should you accept the performers bet? Explain. Should you accept the performers bet? Explain.

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Define regression constant.

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Define multiple coefficient of determination.

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If N = 8, ΣX = 160, ΣX 2 = 4656, ΣY = 79, Σ Y 2 = 1309, and ΣXY = 2430, what is the value of b Y ?

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Define regression of Y on X.

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When there are two predictor variables, R 2 is the simple sum of r 2 for the relationship of the first predictor variable and Y and r 2 for the relationship of the second predictor variable and Y .

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