Linear Regression Flashcard

Front

What is Linear Regression?

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation to observed data.

Front

What does the slope (m) represent in the linear equation y = mx + b?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What does the y-intercept (b) represent in the linear equation y = mx + b?

Back

The y-intercept (b) represents the value of the dependent variable (y) when the independent variable (x) is zero.

Front

What is the purpose of the line of best fit in linear regression?

Back

The line of best fit minimizes the distance between the observed data points and the predicted values, providing the best approximation of the relationship between the variables.

Front

What is a scatter plot?

Back

A scatter plot is a graphical representation of two variables, showing the relationship between them by displaying data points on a Cartesian plane.

Front

What does a positive correlation indicate in a scatter plot?

Back

A positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation indicate in a scatter plot?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does an r value of 1 indicate?

Back

An r value of 1 indicates a perfect positive linear correlation between the two variables.

Front

What does an r value of -1 indicate?

Back

An r value of -1 indicates a perfect negative linear correlation between the two variables.