HW 38- Correlation Coefficients

Front

What is a 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 1 indicate?

Back

A perfect positive linear relationship between two variables.

Front

What does a correlation coefficient of -1 indicate?

Back

A perfect negative linear relationship between two variables.

Front

What does a correlation coefficient of 0 indicate?

Back

No linear relationship between the two variables.

Front

What is a strong positive correlation?

Back

When an increase in one variable leads to a significant increase in another variable, with a correlation coefficient close to 1.

Front

What is a strong negative correlation?

Back

When an increase in one variable leads to a significant decrease in another variable, with a correlation coefficient close to -1.

Front

What is a weak correlation?

Back

A relationship between two variables that is not strong, indicated by a correlation coefficient close to 0.

Front

How do you interpret a correlation coefficient of 0.5?

Back

It indicates a moderate positive correlation between the two variables.

Front

What is the significance of the absolute value of the correlation coefficient?

Back

The absolute value indicates the strength of the relationship, regardless of direction.

Front

What is the formula for calculating the correlation coefficient (r)?

Back

r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)] where n is the number of pairs.