Exam 7: Linear Regression

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For regression purposes, it is customary to assign Y to the predicted variable.

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When the relation between X and Y is imperfect, the prediction of Y given X is _________.

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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.   The value for the standard error of estimate in predicting % fat from daily exercise is _________. The value for the standard error of estimate in predicting % fat from daily exercise is _________.

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If If   = 57.2,   = 84.6, and b Y = 0.37, the value of a Y = _________. = 57.2, If   = 57.2,   = 84.6, and b Y = 0.37, the value of a Y = _________. = 84.6, and b Y = 0.37, the value of a Y = _________.

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In the regression equation Y' = X , the Y -intercept is _________.

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Multiple regression always results in greater prediction accuracy than simple regression.

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If the standard deviations of the X and Y distributions are equal, then r = b Y .

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Which of the following statements is(are) false?

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The least squares regression line insures the maximum number of direct hits.

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If the standard error of estimate for relationship 1 equals 5.26 and for relationship 2 it equals 8.01 then we can reasonably infer that relationship 2 is less perfect than relationship 1.

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S ( Y - Y' ) 2 represents _________.

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What is the linear regression equation for predicting Y given X for the following pairs of scores: What is the linear regression equation for predicting Y given X for the following pairs of scores:

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If X and Y are plotted as standard ( z ) scores, then r equals the slope of the resulting regression line.

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The value a Y is the X axis intercept for minimizing errors in Y .

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When predicting Y , adding a second predictor variable to the first predictor variable X , will _______.

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A psychologist wanted to use a locus of control test to predict scores on a depression scale. The following data were summarized for the relationship between the locus of control and depression scale: ΣX = 62, ΣX 2 = 1022, ΣY = 70, ΣY 2 = 1234, Σ XY = 1107, N = 4 A psychologist wanted to use a locus of control test to predict scores on a depression scale. The following data were summarized for the relationship between the locus of control and depression scale: ΣX = 62, ΣX <sup>2 </sup>= 1022, ΣY = 70, ΣY <sup>2</sup> = 1234, Σ XY = 1107, N = 4

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Consider the following set of points for variable X and variable Y : Consider the following set of points for variable X and variable Y :    Consider the following set of points for variable X and variable Y :

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If X and Y are transformed into z scores, and the slope of the regression line of the z scores is - 0.80, what is the value of the correlation coefficient?

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If the regression line is parallel to the X axis then the slope of the regression line equals 0.

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If the value for a Y is negative, the relationship between X and Y is _________.

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