Scatterplots

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 axis.

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 'no association' mean in the context of a scatterplot?

Back

No association means that there is no discernible relationship between the two variables; changes in one do not predict changes in the other.

Front

How can you identify the type of association in a scatterplot?

Back

You can identify the type of association by observing the direction of the trend of the data points: upward for positive, downward for negative, and scattered for no association.

Front

What is a trend line in a scatterplot?

Back

A trend line is a straight line that best represents the data points in a scatterplot, helping to visualize the overall direction of the data.

Front

How do you use a trend line to make predictions?

Back

You can use a trend line to predict values by finding the corresponding value on the line for a given input.

Front

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

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 does the y-intercept represent in a scatterplot?

Back

The y-intercept is the value of y when x is zero; it indicates where the trend line crosses the y-axis.

Front

How can outliers affect a scatterplot?

Back

Outliers can skew the interpretation of the data, affecting the slope and position of the trend line.