Chapter 14, Problem 13P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A researcher measures three variables, *X*, *Y*, and Z, for each individual in a sample of *n* = 25. The Pearson correlations for this sample are *r _{xy}* = 0.8,

**a.**Find the partial correlation between*X*and*Y,*holding*Z*constant.**b.**Find the partial correlation between*X*and Z, holding*Y*constant. (*Hint:*Simply switch the labels for the variables*Y*and*Z*to correspond with the labels in the equation.)

**a**.

To determine

The Partial correlation of the sample.

Explanation

**Given info:**

The Pearson correlation between X and Y is 0.8, Pearson correlation between X and Z is 0.6 and Pearson correlation between Y and Z is 0.7. A random sample of size 25 is taken.

**Calculation:**

Formula to calculate the Partial correlation is,

Where

Substitute 0.8 for

**b**.

To determine

The Partial correlation of the sample.

Sect-14.1 P-1LCSect-14.1 P-2LCSect-14.1 P-3LCSect-14.1 P-4LCSect-14.2 P-1LCSect-14.2 P-2LCSect-14.2 P-3LCSect-14.3 P-1LCSect-14.3 P-2LCSect-14.4 P-1LC

Sect-14.4 P-2LCSect-14.4 P-1LCASect-14.5 P-1LCSect-14.5 P-2LCSect-14.5 P-3LCSect-14.5 P-1LCASect-14.5 P-2LCASect-14.6 P-1LCSect-14.6 P-2LCSect-14.6 P-3LCSect-14.6 P-4LCSect-14.6 P-1LCASect-14.6 P-1LCBSect-14.6 P-2LCBSect-14.6 P-3LCBSect-14.6 P-1LCCCh-14 P-1PCh-14 P-2PCh-14 P-3PCh-14 P-4PCh-14 P-5PCh-14 P-6PCh-14 P-7PCh-14 P-8PCh-14 P-9PCh-14 P-10PCh-14 P-11PCh-14 P-12PCh-14 P-13PCh-14 P-17PCh-14 P-18PCh-14 P-19PCh-14 P-20PCh-14 P-21PCh-14 P-22PCh-14 P-23PCh-14 P-24PCh-14 P-25PCh-14 P-26PCh-14 P-27PCh-14 P-28PCh-14 P-29P

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