Scatterplots

Front

What is a scatterplot?

Back

A scatterplot is a graph that shows the relationship between two quantitative variables. Each point on the graph represents an observation.

Front

What does the slope of a scatterplot represent?

Back

The slope of a scatterplot indicates the direction and steepness of the relationship between the two variables. A positive slope means that as one variable increases, the other also increases.

Front

How do you identify a positive correlation in a scatterplot?

Back

A positive correlation is identified when the points on the scatterplot trend upwards from left to right.

Front

How do you identify a negative correlation in a scatterplot?

Back

A negative correlation is identified when the points on the scatterplot trend downwards from left to right.

Front

What does it mean if there is no correlation in a scatterplot?

Back

No correlation means that there is no discernible pattern in the points on the scatterplot; the variables do not appear to affect each other.

Front

What is the purpose of a trend line in a scatterplot?

Back

A trend line is used to summarize the relationship between the variables and can help predict future values.

Front

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

Back

The slope (m) is calculated using the formula 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 point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How can outliers affect a scatterplot?

Back

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

Front

What is the difference between a linear and a non-linear relationship in a scatterplot?

Back

A linear relationship can be represented by a straight line, while a non-linear relationship cannot and may curve or change direction.