scatterplots

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 the line of best fit represent in a scatterplot?

Back

The line of best fit is a straight line that best represents the data on a scatterplot. It shows the general direction of the data points.

Front

How do you determine the slope of a line from its equation?

Back

The slope is the coefficient of x in the equation of the line. For example, in y = mx + b, m is the slope.

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 is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the value of y when x is 0, represented by the constant term in the equation y = mx + b.

Front

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

Back

The line of best fit can be visually identified as the line that minimizes the distance between itself and all the data points.

Front

What is the purpose of using a scatterplot?

Back

Scatterplots are used to observe relationships between two quantitative variables and to identify trends or patterns.

Front

What does it mean if a scatterplot has no association?

Back

If a scatterplot has no association, it means there is no discernible pattern or relationship between the two variables.