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The regression equation and the standard error of estimate The...

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The regression equation and the standard error of estimate The...

The regression equation and the standard error of estimate The following scores represent the decrease in symptom intensity (on a 10-point scale) following the new nutrition therapy.

 Scores
PatientDepression (X)Pain (Y)
A15
B30.75
C57
D72.75
E99

1. Calculate the sum of the products and the sum of squares for X. SP = ________ and SSX = ________

2. Find the regression line for predicting Y given X. The slope of the regression line is ________ and the Y intercept is ________

3. Calculate the Pearson correlation coefficient, the predicted variability, and the unpredicted variability. The Pearson correlation is r = ________ . The predicted variability is SSregression = ________ . The unpredicted variability is SSresidual = ________ .

4. Calculate the standard error of the estimate. The standard error of the estimate is ________ .

5. Suppose you want to predict the pain score for a new patient. The only information given is that this new patient is similar to patients A through E; therefore, your best guess for the new patient's level of pain is ________ . The error associated with this guess (that is, the "standard" amount your guess will be away from the true value) is ________ .

6. Suppose that now you are told the depression score for this new patient is 5.5. Now your best guess for the new patient's level of pain is ________ . The error associated with this guess (that is, the "standard" amount your guess will be away from the true value) is .

7. Finally, suppose before estimating the regression equation, you first transform each of the original scores into a z-score. The regression equation you estimate is: ________

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Answered by MagistrateMusic10854 on coursehero.com

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