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 the correlation coefficient indicate in a scatterplot?

Back

The correlation coefficient indicates the strength and direction of a linear relationship between two variables, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

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

How do you identify outliers in a scatterplot?

Back

Outliers are data points that fall far away from the general cluster of points in a scatterplot, indicating they do not fit the pattern of the rest of the data.

Front

What does a positive correlation look like in a scatterplot?

Back

A positive correlation in a scatterplot appears as a pattern where, as one variable increases, the other variable also tends to increase.

Front

What does a negative correlation look like in a scatterplot?

Back

A negative correlation in a scatterplot appears as a pattern where, as one variable increases, the other variable tends to decrease.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Front

How can you determine the strength of a correlation in a scatterplot?

Back

The strength of a correlation can be determined by how closely the data points cluster around the trend line; tighter clusters indicate stronger correlations.

Front

What is the significance of the slope of a trend line in a scatterplot?

Back

The slope of a trend line indicates the rate of change between the two variables; a steeper slope means a greater change.

Front

What does it mean if a scatterplot shows no correlation?

Back

No correlation means there is no discernible relationship between the two variables, and the data points are scattered randomly.