Chapter 3 Stats Review - Two-Variable Data

Front

What is a residual plot?

Back

A residual plot is a graph that shows the residuals on the vertical axis and the independent variable on the horizontal axis. It helps to assess the fit of a regression model.

Front

When is a linear regression model appropriate?

Back

A linear regression model is appropriate when the relationship between the independent and dependent variables is linear, and the residuals are randomly scattered around zero.

Front

What does it mean to make predictions outside the range of observed values?

Back

Making predictions outside the range of observed values is risky because the model may not accurately represent the relationship in that range, leading to unreliable predictions.

Front

What is an explanatory variable?

Back

An explanatory variable is a variable that is used to explain changes in the response variable. It is often considered the independent variable in a study.

Front

What is a response variable?

Back

A response variable is the outcome or dependent variable that is being studied or predicted in a regression analysis.

Front

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

Back

The y-intercept represents the predicted value of the response variable when the explanatory variable is zero.

Front

What is the least-squares regression line?

Back

The least-squares regression line is a straight line that best fits the data points in a scatter plot by minimizing the sum of the squares of the vertical distances of the points from the line.

Front

How do you interpret the slope of a regression line?

Back

The slope of a regression line indicates the average change in the response variable for each one-unit increase in the explanatory variable.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for two variables for a set of data, showing the relationship between them.

Front

What is the purpose of a trend line in a scatter plot?

Back

A trend line is used to show the general direction of the data points in a scatter plot, helping to visualize the relationship between the variables.