Line of Best Fit & Correlation Coefficients Warm Up

Front

What is a correlation coefficient?

Back

A numerical measure of the strength and direction of the relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of -1 indicate?

Back

A perfect negative correlation, meaning as one variable increases, the other decreases.

Front

What does a correlation coefficient of 1 indicate?

Back

A perfect positive correlation, meaning as one variable increases, the other also increases.

Front

What does a correlation coefficient of 0 indicate?

Back

No correlation, meaning there is no predictable relationship between the two variables.

Front

What is a line of best fit?

Back

A straight line that best represents the data on a scatter plot, used to make predictions.

Front

How can you determine if a line is an accurate line of best fit?

Back

By assessing how closely the data points cluster around the line; if they are widely scattered, it may not be accurate.

Front

What is a scatter plot?

Back

A graphical representation of two variables, showing the relationship between them using points.

Front

What does a strong positive correlation look like on a scatter plot?

Back

Data points that are closely clustered around an upward-sloping line.

Front

What does a weak negative correlation look like on a scatter plot?

Back

Data points that are loosely scattered around a downward-sloping line.

Front

What is the significance of the slope of the line of best fit?

Back

It indicates the direction and steepness of the relationship between the two variables.