Home > Statistical Methods calculators > Covariance - Population Covariance, Sample Covariance calculator

Method and examples
Find
Find Covariance - Population Covariance, Sample Covariance
Type your data in either horizontal or verical format,

OR
X & Y   Class-X & Y
Rows :
Class-XY
-
-
-
-
r formula -
Decimal Place =
SolutionHelp
Covariance - Population Covariance, Sample Covariance calculator
1. Psychological tests of intelligence and of engineering ability were applied to 10 students. Here is a record of ungrouped date showing intelligence ratio (I.R.) and engineering ratio (E.R.). Calculate the coefficient of correlation
Student: A B C D E F G H I J
IR 105 104 102 101 100 99 98 96 93 92
FR 101 103 100 98 95 96 104 92 97 94

2. Calculate correlation coefficient for following weights fathers X and their sons Y
X 65 66 67 67 68 69 70 72
Y 67 68 65 68 72 72 69 71


Example
1. Calculate Population cov(x,y), Sample cov(x,y) from the following data
Class-XY
2 - 43
4 - 64
6 - 82
8 - 101


Solution:
Class-XMid value xyxy
2-4339
4-65420
6-87214
8-10919
------------
x=24y=10xy=52




Population Cov(x,y) :

Population Cov(x,y)=xy-xynn

=52-24×1044

=52-24044

=52-604

=-84

=-2





Sample Cov(x,y) :

Sample Cov(x,y)=xy-xynn-1

=52-24×1043

=52-24043

=52-603

=-83

=-2.6667






Share this solution or page with your friends.
 
 
Copyright © 2025. All rights reserved. Terms, Privacy
 
 

.