Linear Regression Review

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 in a linear regression equation represent?

Back

The slope indicates the rate of change of the dependent variable for each unit change in the independent variable.

Front

What is the equation of a linear regression line?

Back

Front

How do you interpret the y-intercept in a linear regression equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

What is a scatter plot?

Back

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

Front

What does a trend line in a scatter plot indicate?

Back

A trend line shows the general direction of the data points and can be used to make predictions.

Front

How can you use a trend line to make predictions?

Back

You can use the equation of the trend line to estimate the value of the dependent variable for a given value of the independent variable.

Front

What is the purpose of calculating the linear regression equation?

Back

The purpose is to find the best-fitting line that describes the relationship between the variables, allowing for predictions.

Front

What does a correlation coefficient (r) indicate in linear regression?

Back

The correlation coefficient indicates the strength and direction of the linear relationship between two variables, ranging from -1 to 1.

Front

What does it mean if the correlation coefficient is close to 1?

Back

It indicates a strong positive linear relationship between the variables.