Scatter Plots & Line 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 the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend of the data points in a scatter plot, indicating the general direction of the relationship between the variables.

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 itself and all the data points, ideally passing through the center of the data distribution.

Front

What is a positive association in a scatter plot?

Back

A positive association occurs when, as one variable increases, the other variable also increases, resulting in an upward trend.

Front

What is a negative association in a scatter plot?

Back

A negative association occurs when, as one variable increases, the other variable decreases, resulting in a downward trend.

Front

What does it mean if there is no association in a scatter plot?

Back

No association means that there is no discernible pattern or relationship between the two variables; the data points are scattered randomly.

Front

What is the formula for the line of best fit in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you identify the slope of a line of best fit?

Back

The slope can be identified by calculating the change in y divided by the change in x (rise over run) between two points on the line.

Front

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

Back

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

Front

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

Back

A steep slope indicates a strong relationship between the variables, meaning that a small change in x results in a large change in y.