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 correlation, meaning as one variable increases, the other variable also increases.

Front

What does a correlation coefficient of -1 indicate?

Back

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

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 strong positive correlation?

Back

A correlation coefficient close to 1, indicating a strong relationship where both variables increase together.

Front

What is a strong negative correlation?

Back

A correlation coefficient close to -1, indicating a strong relationship where one variable increases while the other decreases.

Front

What is a weak positive correlation?

Back

A correlation coefficient close to 0 but positive, indicating a slight tendency for both variables to increase together.

Front

What is a weak negative correlation?

Back

A correlation coefficient close to 0 but negative, indicating a slight tendency for one variable to increase while the other decreases.

Front

How can you visually identify correlation in a scatterplot?

Back

By observing the pattern of points; a linearly increasing pattern indicates positive correlation, while a linearly decreasing pattern indicates negative correlation.

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.