Scatterplots: Correlation and Line of Best Fit (Abridged)

Front

What is a scatterplot?

Back

A scatterplot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

Front

What does correlation mean in the context of scatterplots?

Back

Correlation refers to the relationship between two variables in a scatterplot, indicating how one variable may change in relation to another.

Front

What are the types of correlation?

Back

There are three types of correlation: positive correlation (both variables increase), negative correlation (one variable increases while the other decreases), and no correlation (no apparent relationship).

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot, showing the trend of the data points.

Front

How do you calculate the slope of a line?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as one variable increases, the other variable 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.

Front

How can you use a line of best fit to make predictions?

Back

You can use the line of best fit to predict values by substituting a given x-value into the equation of the line to find the corresponding y-value.

Front

What is the y-intercept in a linear equation?

Back

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