Scatterplots and Lines of Best Fit

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 a line of best fit represent in a scatterplot?

Back

A line of best fit represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the slope of a line?

Back

The slope of a line is determined by the formula: slope = (change in y) / (change in x). It indicates the steepness and direction of the line.

Front

What is a positive correlation?

Back

A positive correlation means that as one variable increases, the other variable also increases.

Front

What is a negative correlation?

Back

A negative correlation means that as one variable increases, the other variable decreases.

Front

What does no correlation mean?

Back

No correlation means there is no relationship between the two variables; changes in one do not affect the other.

Front

What is an outlier in a dataset?

Back

An outlier is a data point that differs significantly from other observations in the dataset, often appearing far away from the trend.

Front

How can you identify an outlier in a scatterplot?

Back

An outlier can be identified as a point that is distant from the cluster of other points in the scatterplot.

Front

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

Back

The formula is: slope = (y2 - y1) / (x2 - x1).

Front

What is the purpose of a line of best fit?

Back

The purpose of a line of best fit is to make predictions about future data points based on the existing data.