Correlation Coefficient

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables.

Front

What does a correlation coefficient of r=1 indicate?

Back

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

Front

What does a correlation coefficient of r=-1 indicate?

Back

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

Front

What does a correlation coefficient of r=0 indicate?

Back

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

Front

What does a correlation coefficient of r=0.5 indicate?

Back

A moderate positive correlation, indicating a positive relationship between the two variables.

Front

What does a correlation coefficient of r=-0.5 indicate?

Back

A moderate negative correlation, indicating a negative relationship between the two variables.

Front

What is the line of best fit?

Back

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

Front

How do you find the line of best fit?

Back

By using statistical methods such as least squares regression to minimize the distance between the line and the data points.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a correlation context?

Back

The rate of change of the dependent variable as the independent variable changes.