1 2 3 4 5 6. 1707 2879 7870 13674 y 971 4713 Use linear regression to find the equation for the linear function that best fits this data. Round parameters to two decimal places. y =
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.
![### Linear Regression Task
#### Data Table
The table below lists pairs of \( x \) and \( y \) values:
| \( x \) | \( 1 \) | \( 2 \) | \( 3 \) | \( 4 \) | \( 5 \) | \( 6 \) |
|---------|---------|---------|---------|---------|---------|---------|
| \( y \) | \( 971 \) | \( 1707 \) | \( 2879 \) | \( 4713 \) | \( 7870 \) | \( 13674 \) |
#### Task
Use linear regression to determine the equation of the linear function that best fits this data. Round the parameters to two decimal places.
The equation will be in the form:
\[ y = mx + b \]
Please enter your values for \( m \) (slope) and \( b \) (y-intercept) in the form provided below.
\[ y = \] [Input Box]
This exercise aims to enhance understanding of linear regression and interpreting data through mathematical modeling.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9849c3b-f0ff-47eb-829a-2c91d3fc6b02%2Fe721699f-2e64-4a62-9a1a-0ebd425da25f%2Fcal0hdn_processed.png&w=3840&q=75)
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