Scatterplots and association

Front

What is a scatterplot?

Back

A scatterplot is a graphical representation of two variables where each point represents an observation in the dataset, showing the relationship between the variables.

Front

What does it mean if a scatterplot shows no association?

Back

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

Front

What type of association is indicated by a scatterplot where points are randomly scattered?

Back

This indicates no association between the variables.

Front

What is a positive correlation in a scatterplot?

Back

A positive correlation occurs when an increase in one variable corresponds to an increase in the other variable, resulting in a rising trend in the scatterplot.

Front

What is a negative correlation in a scatterplot?

Back

A negative correlation occurs when an increase in one variable corresponds to a decrease in the other variable, resulting in a falling trend in the scatterplot.

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 points cluster around a line of best fit; tighter clustering indicates a stronger correlation.

Front

What does a line of best fit represent in a scatterplot?

Back

A line of best fit represents the trend of the data points in a scatterplot, summarizing the relationship between the two variables.

Front

What is the purpose of using scatterplots in data analysis?

Back

Scatterplots are used to visually assess the relationship between two quantitative variables, helping to identify patterns, trends, and correlations.

Front

What is the significance of outliers in a scatterplot?

Back

Outliers are data points that fall far from the trend of the rest of the data; they can significantly affect the correlation and the line of best fit.

Front

What does it mean if a scatterplot shows a strong negative correlation?

Back

A strong negative correlation means that as one variable increases, the other variable tends to decrease significantly, indicating a clear inverse relationship.