HW 38- Correlation Coefficients

Front

What is a correlation coefficient?

Back

A correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables, typically represented by the letter 'r'.

Front

What does an r-value of -1 indicate?

Back

An r-value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

Front

What does an r-value of 1 indicate?

Back

An r-value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable also increases in a perfectly linear manner.

Front

What does an r-value of 0 indicate?

Back

An r-value of 0 indicates no correlation between the two variables, meaning that changes in one variable do not predict changes in the other.

Front

What is considered a weak positive correlation in terms of r-value?

Back

A weak positive correlation is typically indicated by an r-value between 0 and 0.3.

Front

What is considered a weak negative correlation in terms of r-value?

Back

A weak negative correlation is typically indicated by an r-value between -0.3 and 0.

Front

What is a strong positive correlation in terms of r-value?

Back

A strong positive correlation is typically indicated by an r-value between 0.7 and 1.

Front

What is a strong negative correlation in terms of r-value?

Back

A strong negative correlation is typically indicated by an r-value between -0.7 and -1.

Front

How can you visually assess the correlation between two variables?

Back

You can visually assess the correlation between two variables by creating a scatterplot, where each point represents an observation and the overall pattern indicates the type of correlation.

Front

What type of relationship is indicated by an r-value of 0.5?

Back

An r-value of 0.5 indicates a moderate positive correlation between the two variables.