Question

What are the defining features of regression analysis?

-Regression analysis is used to test whether the relationship between two variables is negative or positive and how strong the relationship is between the variables.
-Regression analysis calculates a mathematical function between two variables but cannot be used for predictive purposes because neither variable is assigned as the independent variable.
-Regression analysis calculates the mean, variance, and standard deviation of a data set.
-Regression analysis calculates a mathematical function that best fits the data, tests how closely this function matches the data, and is used to predict the value of the dependent variable.

Answer 1

Regression analysis tests the relationship, calculates a line of best fit, and calculates the correlation coefficient.

Step-by-step explanation:

Regression analysis is a statistical technique which is used to determine the relationship between a dependent variable and one or more independent variables. It calculates a mathematical function that best fits the data and tests how closely this function matches the data.

The defining features of regression analysis are:

1. Testing the relationship: Regression analysis is used to test whether the relationship between two variables is negative or positive and how strong the relationship is between the variables.
2. Line of best fit: Regression analysis calculates a mathematical function that best fits the data. This line of best fit can be used to predict values within the given set of data.
3. Correlation coefficient: Regression analysis calculates the correlation coefficient, which measures the strength and direction of the relationship between the variables. The significance of the correlation coefficient indicates how reliable the relationship is.