Scatterplots and Mean Absolute Deviation

Front

What is a scatterplot?

Back

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

Front

What does a linear relationship in a scatterplot indicate?

Back

A linear relationship indicates that as one variable increases or decreases, the other variable tends to do the same in a consistent manner, forming a straight line when graphed.

Front

What is the Mean Absolute Deviation (MAD)?

Back

Mean Absolute Deviation is a measure of the dispersion of a set of data points around their mean, calculated as the average of the absolute differences between each data point and the mean.

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. 3. Find the average of these absolute values.

Front

What does it mean if a scatterplot shows no correlation?

Back

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

Front

What is the purpose of using scatterplots in data analysis?

Back

Scatterplots are used to visually assess the relationship between two variables, identify trends, and detect outliers.

Front

What is an outlier in a scatterplot?

Back

An outlier is a data point that significantly differs from the other observations in the dataset, often appearing distant from the overall pattern.

Front

What does a positive correlation look like in a scatterplot?

Back

A positive correlation is indicated by data points that slope upwards from left to right, suggesting that as one variable increases, the other also increases.

Front

What does a negative correlation look like in a scatterplot?

Back

A negative correlation is indicated by data points that slope downwards from left to right, suggesting that as one variable increases, the other decreases.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.