Line of Best Fit

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

What does a correlation coefficient (r) of 1 indicate?

Back

A correlation coefficient (r) of 1 indicates a perfect positive linear relationship between two variables.

Front

What does a correlation coefficient (r) of -1 indicate?

Back

A correlation coefficient (r) of -1 indicates a perfect negative linear relationship between two variables.

Front

What does a correlation coefficient (r) of 0 indicate?

Back

A correlation coefficient (r) of 0 indicates no linear relationship between the two variables.

Front

What is the purpose of a scatter plot?

Back

A scatter plot visually represents the relationship between two quantitative variables.

Front

What does it mean if points on a scatter plot are tightly clustered around a line?

Back

It indicates a strong correlation between the two variables.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and the data points.

Front

How can you determine if a correlation is strong or weak?

Back

A strong correlation is indicated by points that are closely clustered around the line of best fit, while a weak correlation shows more scatter.

Front

What is an example of causation?

Back

An example of causation is when increased temperature causes ice to melt.

Front

What is an example of correlation without causation?

Back

An example of correlation without causation is the relationship between ice cream sales and drowning incidents; both increase in summer but one does not cause the other.