Scatter Plots & Lines of Best Fit

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Front

What does a line of best fit represent in a scatter plot?

Back

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

Front

What is a positive correlation?

Back

A positive correlation occurs when an increase in one variable leads to an increase in another variable, represented by an upward slope in a scatter plot.

Front

What is a negative correlation?

Back

A negative correlation occurs when an increase in one variable leads to a decrease in another variable, represented by a downward slope in a scatter plot.

Front

What does 'no association' mean in the context of scatter plots?

Back

'No association' means there is no discernible relationship between the two variables, and the data points are scattered randomly.

Front

How can you determine the correlation from a scatter plot?

Back

You can determine the correlation by observing the direction and pattern of the data points: upward slope indicates positive correlation, downward slope indicates negative correlation, and random scatter indicates no association.

Front

What is the purpose of using a line of best fit?

Back

The purpose of using a line of best fit is to summarize the relationship between variables and make predictions based on the trend.

Front

How do you calculate the slope of a line of best fit?

Back

The slope of a line of best fit can be calculated by taking the change in the y-values divided by the change in the x-values between two points on the line.

Front

What does it mean if the slope of a line of best fit is positive?

Back

If the slope of a line of best fit is positive, it indicates that as one variable increases, the other variable also increases.

Front

What does it mean if the slope of a line of best fit is negative?

Back

If the slope of a line of best fit is negative, it indicates that as one variable increases, the other variable decreases.