Line of Best Fit

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, showing the trend of the data points.

Front

How do you determine if a line is an accurate line of best fit?

Back

A line is considered an accurate line of best fit if it minimizes the distance between itself and all the data points, ideally passing through the center of the data distribution.

Front

What does a positive slope in a line of best fit indicate?

Back

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

Front

What does a negative slope in a line of best fit indicate?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you use a line of best fit to make predictions?

Back

You can use the line of best fit to predict the value of one variable based on the value of another by finding the corresponding point on the line.

Front

What is the purpose of a scatter plot?

Back

A scatter plot is used to visually display the relationship between two quantitative variables.

Front

What does it mean if the points on a scatter plot are closely clustered around the line of best fit?

Back

If the points are closely clustered around the line of best fit, it indicates a strong correlation between the two variables.

Front

What is the difference between correlation and causation?

Back

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

Front

What is the significance of the y-intercept in a line of best fit?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

How do you identify the line of best fit from multiple options?

Back

To identify the line of best fit, look for the line that best represents the trend of the data points, minimizing the distance from all points.