Line of Best Fit/ Correlation Coefficient

Front

What is the definition of a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, used to make predictions about future data points.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What is the range of the correlation coefficient (r)?

Back

The correlation coefficient (r) ranges from -1 to 1.

Front

What does an r-value of 0 indicate?

Back

An r-value of 0 indicates no correlation between the two variables.

Front

What is the purpose of the correlation coefficient?

Back

The correlation coefficient quantifies the strength and direction of a linear relationship between two variables.

Front

How can you visually identify a positive correlation on a scatter plot?

Back

A positive correlation can be visually identified by points that slope upwards from left to right.

Front

How can you visually identify a negative correlation on a scatter plot?

Back

A negative correlation can be visually identified by points that slope downwards from left to right.

Front

What does it mean if the line of best fit is horizontal?

Back

If the line of best fit is horizontal, it indicates no relationship between the variables.

Front

What is an example of a situation with a positive correlation?

Back

An example of a positive correlation is the relationship between hours studied and test scores.