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.
![**Problem Statement:**
Find all real solutions of the equation \((x - 6)^2 = 25\).
**Solutions:**
\( x_1 = \) [Enter an integer or decimal number]
and
\( x_2 = \) [Enter an integer or decimal number]
with \( x_1 < x_2 \).
---
**Explanation:**
The equation \((x - 6)^2 = 25\) is a quadratic equation. By taking the square root of both sides, \(x - 6 = \pm 5\), the possible solutions for \(x\) are computed by solving \(x - 6 = 5\) and \(x - 6 = -5\).
Remember to order the solutions such that \(x_1 < x_2\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7520b358-31b1-4002-8f56-f6e484ea4d66%2F099dfdf3-b9eb-4a7f-b158-e617d5bd92e8%2Fygga878_processed.png&w=3840&q=75)
![The given quadratic equation is:
\[ 4p^2 + p - 9 = 0 \]
Below the equation, there is a text box labeled:
\[ p = \]
This setup is typically used to solve for the variable \( p \) using algebraic methods such as factoring, completing the square, or applying the quadratic formula.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7520b358-31b1-4002-8f56-f6e484ea4d66%2F099dfdf3-b9eb-4a7f-b158-e617d5bd92e8%2F4nvts68_processed.png&w=3840&q=75)
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