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.
![### Find the Value of the Variables
**Problem 5:**
In this problem, you are given a circle with four points on its circumference labeled as A, B, C, and D. These points form a cyclic quadrilateral. The measures of two of its interior angles are given as follows:
- Angle BCD is 68°
- Angle ADB is 82°
The other two angles are represented as variables:
- Angle B is labeled as \( x^\circ \)
- Angle BAD is labeled as \( y^\circ \)
The task is to find the values of \( x \) and \( y \).
**Explanation:**
In a cyclic quadrilateral, the sum of the opposite angles is 180°. So, you can use this property to find the unknown angles.
1. **Finding \( x^\circ \):**
- Since angles BCD and \( x^\circ \) are opposite angles, we can use the property:
\[
x + 68^\circ = 180^\circ
\]
Simplifying for \( x \):
\[
x = 180^\circ - 68^\circ = 112^\circ
\]
2. **Finding \( y^\circ \):**
- Similarly, angles ADB and \( y^\circ \) are opposite angles, so:
\[
y + 82^\circ = 180^\circ
\]
Simplifying for \( y \):
\[
y = 180^\circ - 82^\circ = 98^\circ
\]
Thus, the values of the variables are:
- \( x = 112^\circ \)
- \( y = 98^\circ \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba437994-7eb2-41d2-bf90-86c7e632409d%2Fe1491783-9b72-40fc-9d85-f319d4d2c0c7%2Fk312yxf_processed.jpeg&w=3840&q=75)
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