MAD and Scatterplots

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 trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the relationship between the variables.

Front

How do you predict values using a trend line?

Back

To predict values using a trend line, locate the value on one axis, draw a vertical line to intersect the trend line, and then draw a horizontal line to the other axis to find the predicted value.

Front

What is the mean absolute deviation (MAD)?

Back

The mean absolute deviation is a measure of the average distance between each data point and the mean of the data set, indicating how spread out the values are.

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 a positive association in a scatter plot indicate?

Back

A positive association indicates that as one variable increases, the other variable also tends to increase.

Front

What does a negative association in a scatter plot indicate?

Back

A negative association indicates that as one variable increases, the other variable tends to decrease.

Front

What is the difference between linear and non-linear relationships?

Back

A linear relationship can be represented by a straight line, while a non-linear relationship cannot be represented by a straight line and may curve.

Front

What is the significance of the slope of a trend line?

Back

The slope of a trend line indicates the rate of change between the two variables; a steeper slope means a stronger relationship.

Front

How can you identify a scatter plot with a negative relationship?

Back

A scatter plot with a negative relationship will show data points that trend downward from left to right.