Flashcard 3-2

Front

What is the Mean Absolute Deviation (MAD)?

Back

The Mean Absolute Deviation 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 for the data set: 100, 104, 107, 105?

Back

1. Find the mean: (100 + 104 + 107 + 105) / 4 = 104. 2. Calculate the absolute deviations: |100-104|=4, |104-104|=0, |107-104|=3, |105-104|=1. 3. Find the average of these deviations: (4 + 0 + 3 + 1) / 4 = 2.

Front

What does a scatterplot represent?

Back

A scatterplot is a graphical representation that shows the relationship between two quantitative variables. Each point on the plot represents an observation.

Front

How can you interpret a scatterplot?

Back

You can interpret a scatterplot by looking for patterns, trends, or correlations between the two variables. For example, a positive correlation means that as one variable increases, the other also tends to increase.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the slope of a line indicate?

Back

The slope of a line indicates the rate of change of the dependent variable (y) with respect to the independent variable (x). A positive slope means the line rises, while a negative slope means it falls.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

You can write the equation in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.