3.3 - 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 line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you interpret the slope of a linear regression line?

Back

The slope indicates the change in the dependent variable for each one-unit change in the independent variable.

Front

What is the y-intercept in a linear equation?

Back

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

Front

What does a positive slope indicate in a linear regression?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative slope indicate in a linear regression?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

How can you use a linear equation to make predictions?

Back

You can substitute a value for the independent variable into the linear equation to calculate the corresponding value of the dependent variable.

Front

What is the purpose of calculating a line of best fit?

Back

The purpose is to summarize the relationship between variables and to make predictions based on that relationship.

Front

What is the formula for a linear equation in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'residual' mean in linear regression?

Back

A residual is the difference between the observed value and the predicted value from the regression model.