Twenty-five portfolio managers were evaluated in terms of their performance. Suppose Y represents the rate of return achieved over a period of time; z, is the manager's attitude toward risk measured on a five-point scale from "very conservative" to "very risky"; and is years of experience in the investment business. The observed correlation coefficients between pairs of variables are:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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6. Twenty-five portfolio managers were evaluated in terms of their performance. Suppose Y
represents the rate of return achieved over a period of time; z, is the manager's attitude
toward risk measured on a five-point scale from "very conservative" to "very risky"; and
is years of experience in the investment business. The observed correlation coefficients
between pairs of variables are:
Transcribed Image Text:6. Twenty-five portfolio managers were evaluated in terms of their performance. Suppose Y represents the rate of return achieved over a period of time; z, is the manager's attitude toward risk measured on a five-point scale from "very conservative" to "very risky"; and is years of experience in the investment business. The observed correlation coefficients between pairs of variables are:
Y
Z,
[ 1.0
.35
.82 1
| -
- .60
.35
1.0
|.82
- .60
1.0
i)
Interpret the sample correlation coefficients
Tyz,
35 and
= .82
= -
2
ii)
Calculate the partial correlation coefficient r, and interpret this quantity with
respect to the interpretation provided for
in Part (i).
Transcribed Image Text:Y Z, [ 1.0 .35 .82 1 | - - .60 .35 1.0 |.82 - .60 1.0 i) Interpret the sample correlation coefficients Tyz, 35 and = .82 = - 2 ii) Calculate the partial correlation coefficient r, and interpret this quantity with respect to the interpretation provided for in Part (i).
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