Correlation

Which of the following statements is TRUE about the Pearson correlation coefficient (r)?

• It measures the strength and direction of a linear relationship between two ordinal variables.

• It is used when at least one variable is binary.

• It measures the strength and direction of a linear relationship between two continuous variables.

• It is a non-parametric measure of correlation.

The Spearman correlation coefficient is most appropriate when ________________

• The data are continuous and normally distributed.

• At least one variable is ordinal or the relationship is non-linear.

• Both variables are binary

• You are measuring the agreement between two sets of ranked data.

If the Pearson correlation coefficient (r) between two variables is -0.85, what does this indicate about the relationship between the variables?

• A strong positive linear relationship

• A strong negative linear relationship

• A weak positive linear relationship

• No relationship

Which correlation coefficient would you use to measure the relationship between gender (male/female) and salary?

• Pearson

• Spearman

• Kendall’s Tau

• Point-Biserial

Kendall's tau (τ) is most appropriate for which type of data?

• Two sets of ranked data to measure agreement

• Continuous data with outliers

• Binary and continuous data

• Categorical data

What is the range of the Pearson correlation coefficient (r)?

• -1 to 1

• 0 to 1

• -∞ to ∞

• 0 to ∞

Which of the following is a limitation of the Pearson correlation coefficient?

• It cannot measure non-linear relationships.

• It is only applicable to categorical data.

• It requires a large sample size.

• It can only be used with two variables.

What type of correlation is measured by the Point-Biserial correlation coefficient?

• Correlation between two continuous variables.

• Correlation between one continuous variable and one binary variable.

• Correlation between two ordinal variables.

• Correlation between two categorical variables.

Which of the following is a characteristic of Spearman's rank correlation coefficient?

• It assumes a linear relationship between variables.

• It can be used with ordinal data.

• It requires normally distributed data.

• It is sensitive to outliers.

What does a Pearson correlation coefficient of 0 indicate?

• A strong positive linear relationship.

• A strong negative linear relationship.

• No linear relationship between the variables.

• A perfect linear relationship.