a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?

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Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values
are results for scales of introversion and shyness. High positive scores on each scale indicate high
introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected
from 10 people as follows:
X₁
X₂
X3
X4
X5
**
Q2. Given the following correlation matrix:
X₁
-.11**
.31***
.14**
.13**
Statistical Methods II PSYC 2022 O
ASSIGNMENT #3
Due April 8, 2023, 11:59 pm
X₂
a) Compute the correlation coefficient relating introversion and shyness scores.
b) Find the regression equation which predicts introversion from shyness.
c) What introversion score would you predict from a shyness score of 7?
-.20***
-.31***
-.27***
***
Introversion
4
-7
-1
0
6
7
-4
-9
-5
8
p<.001
X3
Shyness
11
-7
.44***
.49***
-1
X4
-3
0
7
-1
-8
-1
5
.42***
p<.01
a) Which is the best predictor of X3?
b) Which is the stronger correlation - 713 or 124?
c)
What is the proportion of variance in X₁ explained by each predictor?
X5
Transcribed Image Text:Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: X₁ X₂ X3 X4 X5 ** Q2. Given the following correlation matrix: X₁ -.11** .31*** .14** .13** Statistical Methods II PSYC 2022 O ASSIGNMENT #3 Due April 8, 2023, 11:59 pm X₂ a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7? -.20*** -.31*** -.27*** *** Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 p<.001 X3 Shyness 11 -7 .44*** .49*** -1 X4 -3 0 7 -1 -8 -1 5 .42*** p<.01 a) Which is the best predictor of X3? b) Which is the stronger correlation - 713 or 124? c) What is the proportion of variance in X₁ explained by each predictor? X5
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