P23p32

where f)12.3 is the slope coefficient in the regression of y on X2 holding X3 constant. Similarly, f)12 3 4 is the slope coefficient in the regression of Y on X2 holding X3 and X4 constant, and so on.

Using the preceding formula, find expressions for the following regression coefficients in terms of lower-order regression coefficients: p1 2.3456,

C.6. Establish the following identity:

C.7. For the correlation matrix R given in (C.10.20) find all the first-order partial correlation coefficients. C.8. In studying the variation in crime rates in certain large cities in the United States, Ogburn obtained the following data*:

Y— 19.9

S1 —

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