Scatterplots and Trendlines

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 is a straight line that best represents the data on a scatterplot, showing the general direction of the data points.

Front

How do you determine if a line is an accurate line of best fit?

Back

A line is an accurate line of best fit if it minimizes the distance between itself and all the data points, ideally passing through the center of the data distribution.

Front

What does a positive association in a scatterplot 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 scatterplot indicate?

Back

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

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

How can you identify the line of best fit on a scatterplot?

Back

The line of best fit can be identified by visually assessing which line best represents the trend of the data points, often using statistical methods like least squares.

Front

What is the purpose of using trendlines in scatterplots?

Back

Trendlines help to summarize the relationship between variables and make predictions based on the data.

Front

What is interpolation in the context of scatterplots?

Back

Interpolation is estimating a value within the range of the data points based on the trendline.

Front

What is extrapolation in the context of scatterplots?

Back

Extrapolation is estimating a value outside the range of the data points based on the trendline.