Correlation Coefficient

Front

What is the correlation coefficient (r)?

Back

The correlation coefficient (r) is 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 1 indicate?

Back

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

Front

What does a correlation coefficient of -1 indicate?

Back

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

Front

What does a correlation coefficient of 0 indicate?

Back

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

Front

How do you interpret a correlation coefficient of 0.872?

Back

A correlation coefficient of 0.872 indicates a strong positive linear relationship between the two variables being analyzed.

Front

What is the formula for the line of best fit in linear regression?

Back

The formula for the line of best fit in linear regression is typically expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) in the line of best fit indicates the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Front

What does a negative correlation coefficient indicate?

Back

A negative correlation coefficient indicates that as one variable increases, the other variable tends to decrease.

Front

What is the purpose of using a graphing calculator in correlation analysis?

Back

A graphing calculator is used to plot data points, determine the line of best fit, and calculate the correlation coefficient for the data.

Front

What is the relationship between kinetic energy and velocity based on a correlation coefficient of 0.872?

Back

A correlation coefficient of 0.872 suggests that there is a strong positive relationship between kinetic energy and velocity, meaning as velocity increases, kinetic energy also increases.