Correlation Coefficient and Line of Best Fit

Front

What is the correlation coefficient?

Back

A statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of .9984 indicate?

Back

It indicates a very strong positive linear 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

What does the y-intercept of a line of best fit represent?

Back

The predicted value of the dependent variable when the independent variable is zero.

Front

What does the slope of the line of best fit indicate?

Back

The rate of change of the dependent variable for each unit change in the independent variable.

Front

How do you find the line of best fit using a graph?

Back

By plotting the data points and drawing a straight line that minimizes the distance to all points.

Front

What is the formula for the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

Front

What does a negative correlation coefficient indicate?

Back

A negative correlation coefficient indicates an inverse relationship between two variables.

Front

What is the significance of a correlation coefficient of 0?

Back

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

Front

How can the line of best fit be used in real-life situations?

Back

It can be used to make predictions based on trends observed in data.