Scatterplots and Trendlines

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional plane.

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

Back

You can use the line of best fit to estimate values of one variable based on the value of another variable.

Front

What is the purpose of a trendline in a scatterplot?

Back

The purpose of a trendline is to summarize the relationship between the variables and to help make predictions.

Front

What does a positive correlation in a scatterplot indicate?

Back

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

Front

What does a negative correlation in a scatterplot indicate?

Back

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

Front

What is the formula for calculating the slope of a line?

Back

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

Front

What is interpolation in the context of scatterplots?

Back

Interpolation is the process of estimating a value within the range of known data points.

Front

What is extrapolation in the context of scatterplots?

Back

Extrapolation is the process of estimating a value outside the range of known data points.

Front

How do you identify the line of best fit visually?

Back

The line of best fit should have approximately equal numbers of points above and below it, minimizing the distance from all points.