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 overall trend of the data points.

Front

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

Back

A good line of best fit minimizes the distance between the line and all the data points, indicating that it accurately represents the trend.

Front

What does a linear relationship between x and y mean?

Back

A linear relationship means that as one variable increases or decreases, the other variable does so in a consistent manner, forming a straight line when graphed.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, using dots to represent the values.

Front

What does it mean if a scatter plot shows no clear pattern?

Back

If a scatter plot shows no clear pattern, it indicates that there is no relationship between the variables.

Front

What is the purpose of the line of best fit?

Back

The purpose of the line of best fit is to make predictions about one variable based on the value of another variable.

Front

What is the difference between a positive and negative correlation in a scatter plot?

Back

A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

Front

How can you visually identify the line of best fit on a scatter plot?

Back

You can visually identify the line of best fit by drawing a straight line that passes as close as possible to the majority of the data points.

Front

What does it mean if the line of best fit has a steep slope?

Back

A steep slope indicates a strong relationship between the variables, meaning that a small change in one variable results in a large change in the other.

Front

What does it mean if the line of best fit is flat?

Back

A flat line of best fit indicates a weak relationship between the variables, suggesting that changes in one variable have little effect on the other.