Scatterplots and Lines of Best Fit

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 is a straight line that best represents the data points in a scatterplot, indicating the overall trend of the data.

Front

How do you determine the slope of a line from a scatterplot?

Back

The slope of a line is determined by the change in the y-values divided by the change in the x-values (rise over run) between two points on the line.

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 purpose of using a trend line in a scatterplot?

Back

The purpose of a trend line is to summarize the relationship between the variables and to make predictions based on the data.

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another variable by finding the corresponding point on the line.

Front

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

Back

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

Front

What does it mean if a scatterplot has no correlation?

Back

If a scatterplot has no correlation, it means there is no discernible relationship between the two variables; the data points are scattered randomly.

Front

How do you identify a scatterplot with a negative relationship?

Back

A scatterplot with a negative relationship will show data points that trend downward from left to right.