Find the cycle of decomposition of o.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
need help with 4e please
![4. Consider o =
(123)(45)(761) in S,
(a) Find the cycle of decomposition of o.
2 3 4 5
6 7
= (176 2 3)(4 5)
3
1
5 4 2
(b) Find o-1.
o-1 = (3 2 6 7 1)(4 5)
(c) Express o as a product of transpositions.
Using the cycle of decomposition in a)
(13)(12)(16)(17)(45)
(d) Find the order of o.
The cycle type here is the unordered integer partition 7 = 5 + 2.\
The order of the permutation o is lcm 5,2 = 10
(e) For this o, write down the set 2 and its partition into equivalence classes for the
equivalence relation defined below..
Let 2 be a nonempty set and o a permutation of 2. Define a relation
a-b if and only if b = o"(a) for some n E Z.
on 2 as follows:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0548f28d-2867-4ce8-91e2-809a65372be3%2Ffd125fee-ee19-4163-bd6b-25ae4b5fcfa1%2Fh9q4b9h_processed.png&w=3840&q=75)
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