Question

If there is no relationship (linear or otherwise) between two quantitative variables as observed on a scatterplot, the value of the correlation coefficient, r, is likely to be which of the following?1. Closer to 12. Closer to −13. Closer to 04. Either closer to −1 or 1

Answer 1

Option 3) Closer to 0

Explanation:

Correlation:

• Correlation is a technique that help us to find or define a relationship between two variables.

• A positive correlation means that an increase in one quantity leads to an increase in another quantity

• A negative correlation means with increase in one quantity the other quantity decreases.
• Range of Correlation

Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.

Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

• A value of 0 tells that there is no correlation between the two variables.

Thus, for the given situation, if there is no relationship between two quantitative variables then the value of the correlation coefficient, r, is close to 0