Linear Regression AP Stats

Front

What is the equation of the Least Squares Regression Line (LSRL)?

Back

The equation of the LSRL is in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a strong positive correlation indicate in a graph?

Back

A strong positive correlation indicates that as one variable increases, the other variable also increases.

Front

How do you interpret the slope of a regression line?

Back

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

Front

What is the formula for predicting time based on drop height in a regression model?

Back

(Time) = -0.03761 + 0.0057244(drop height) is the correct equation.

Front

What does random scatter in the residuals indicate about a linear model?

Back

Random scatter in the residuals suggests that a linear model is appropriate for the data.

Front

What does a correlation coefficient near 1 or -1 signify?

Back

A correlation coefficient near 1 indicates a strong positive correlation, while near -1 indicates a strong negative correlation.

Front

What happens to the correlation coefficient if you change the units of measurement for x or y?

Back

Changing the units of measurement for x or y does not change the correlation coefficient.

Front

What is the y-intercept in a regression equation?

Back

The y-intercept is the value of y when x is 0 in the regression equation.

Front

What is the purpose of linear regression analysis?

Back

Linear regression analysis is used to model the relationship between a dependent variable and one or more independent variables.

Front

What does the term 'residual' refer to in regression analysis?

Back

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