Extra Credit M.A.D. and Scatterplots

Front

What is Mean Absolute Deviation (M.A.D.)?

Back

Mean Absolute Deviation (M.A.D.) is a measure of the dispersion of a set of data points. It is calculated by taking the average of the absolute differences between each data point and the mean of the data set.

Front

How do you calculate the Mean Absolute Deviation?

Back

1. Find the mean of the data set. 2. Subtract the mean from each data point and take the absolute value of each result. 3. Find the average of these absolute values.

Front

What does a scatterplot represent?

Back

A scatterplot is a graphical representation of two variables, showing how much one variable is affected by another. It displays data points on a two-dimensional graph.

Front

What is a linear relationship in a scatterplot?

Back

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

Front

What is a nonlinear relationship in a scatterplot?

Back

A nonlinear relationship in a scatterplot occurs when the relationship between the variables does not form a straight line, indicating that the change in one variable does not consistently affect the other.

Front

What does a positive correlation in a scatterplot indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases, resulting in an upward trend in the scatterplot.

Front

What does a negative correlation in a scatterplot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases, resulting in a downward trend in the scatterplot.

Front

What is the purpose of a trend line in a scatterplot?

Back

A trend line is used to summarize the relationship between the variables in a scatterplot, helping to visualize the overall direction and strength of the correlation.

Front

How do you determine the slope of a line in a scatterplot?

Back

The slope of a line in a scatterplot is determined by the change in the y-values divided by the change in the x-values between two points on the line.

Front

What is the formula for slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is given by: m = (y2 - y1) / (x2 - x1).