Regression Equations

Front

What is a regression equation?

Back

A regression equation is a mathematical formula that describes the relationship between a dependent variable and one or more independent variables, often used for prediction.

Front

What does the slope of a regression line represent?

Back

The slope of a regression line represents the rate of change of the dependent variable for each unit change in the independent variable.

Front

What is the purpose of a line of best fit in a scatter plot?

Back

The line of best fit is used to summarize the relationship between two variables in a scatter plot, helping to make predictions based on the data.

Front

How do you interpret a correlation coefficient of r = 0.3?

Back

A correlation coefficient of r = 0.3 indicates a weak positive correlation between the two variables, meaning as one variable increases, the other tends to increase slightly.

Front

What is the formula for a linear regression equation?

Back

The formula for a linear regression equation is typically written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a regression equation?

Back

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

Front

How can you use a regression equation to make predictions?

Back

You can use a regression equation to make predictions by substituting the value of the independent variable into the equation to solve for the dependent variable.

Front

What is the significance of the line of best fit in predicting outcomes?

Back

The line of best fit minimizes the distance between the data points and the line, providing the best estimate for predicting outcomes based on the data.

Front

What does it mean if a regression model has a high R-squared value?

Back

A high R-squared value indicates that a large proportion of the variance in the dependent variable can be explained by the independent variable(s) in the model.

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.