4.5 Linear Regression

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 a scatter plot represent in linear regression?

Back

A scatter plot represents the relationship between two quantitative variables, showing how one variable may be affected by another.

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 purpose of a trend line in a scatter plot?

Back

A trend line summarizes the relationship between the variables and can be used to make predictions.

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 significance of 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

How can you predict a value using a linear regression model?

Back

You can predict a value by substituting the independent variable into the linear regression equation.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Front

What does it mean if a scatter plot shows no correlation?

Back

It means there is no discernible relationship between the two variables; changes in one do not predict changes in the other.