Correlation Coefficient

How is the Pearson correlation coefficient interpreted?

• The Pearson correlation coefficient is only applicable to categorical variables, not continuous variables.

• The Pearson correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship.

• The Pearson correlation coefficient measures the strength and direction of the non-linear relationship between two variables.

• The Pearson correlation coefficient ranges from 0 to 2, where 0 indicates a perfect positive linear relationship, and 2 indicates a perfect negative linear relationship.

How is the Spearman correlation coefficient interpreted?

• The Spearman correlation coefficient measures the average of the two variables

• The Spearman correlation coefficient ranges from 0 to 2

• The Spearman correlation coefficient measures the strength and direction of association between two ranked variables. It ranges from -1 to 1, where 1 indicates a perfect positive relationship, -1 indicates a perfect negative relationship, and 0 indicates no relationship.

• The Spearman correlation coefficient indicates the strength of a linear relationship

What are the differences between Pearson and Spearman correlation?

• Pearson correlation measures the linear relationship between two continuous variables, while Spearman correlation measures the monotonic relationship between two continuous or ordinal variables.

• Pearson correlation measures the relationship between two ordinal variables

• Pearson correlation measures the relationship between a continuous and a categorical variable

• Spearman correlation measures the relationship between two categorical variables

When is the Pearson correlation coefficient used?

• To measure the volume of a sphere

• To determine the boiling point of a substance

• The Pearson correlation coefficient is used to measure the strength and direction of the linear relationship between two variables.

• To calculate the area of a triangle

When is the Spearman correlation coefficient used?

• Spearman correlation coefficient is used to calculate the area of a triangle

• Spearman correlation coefficient is used to measure the temperature of a substance

• Spearman correlation coefficient is used to determine the boiling point of a liquid

• Spearman correlation coefficient is used to measure the strength and direction of association between two ranked variables.

What is the range of values for the Pearson correlation coefficient?

• The range of values for the Pearson correlation coefficient is between 0 and 1.

• The range of values for the Pearson correlation coefficient is between -1 and 0.

• The range of values for the Pearson correlation coefficient is between -1 and 1.

• The range of values for the Pearson correlation coefficient is between -10 and 10.

What is the range of values for the Spearman correlation coefficient?

• The range of values for the Spearman correlation coefficient is between 0 and 1.

• The range of values for the Spearman correlation coefficient is between -2 and 2.

• The range of values for the Spearman correlation coefficient is between -1 and 0.

• The range of values for the Spearman correlation coefficient is between -1 and 1.

What are the assumptions for using the Pearson correlation coefficient?

• The assumptions for using the Pearson correlation coefficient include causation, heteroscedasticity, and non-linearity of the variables.

• The assumptions for using the Pearson correlation coefficient include linearity, homoscedasticity, and normality of the variables.

• The assumptions for using the Pearson correlation coefficient include independence, multicollinearity, and non-normality of the variables.

• The assumptions for using the Pearson correlation coefficient include correlation, homogeneity, and non-linearity of the variables.

What are the assumptions for using the Spearman correlation coefficient?

• The assumptions for using the Spearman correlation coefficient are that the variables are measured on a nominal scale

• The assumptions for using the Spearman correlation coefficient are that the variables are measured on an interval scale

• The assumptions for using the Spearman correlation coefficient are that the variables are measured on a ratio scale

• The assumptions for using the Spearman correlation coefficient are that the variables are measured on an ordinal scale and that there is a monotonic relationship between the variables.

How do outliers affect the Pearson correlation coefficient?

• Outliers can significantly affect the Pearson correlation coefficient, causing it to be either inflated or deflated depending on the direction of the outlier's influence.

• Outliers have no impact on the Pearson correlation coefficient

• Outliers always increase the Pearson correlation coefficient

• Outliers only affect the Pearson correlation coefficient if they are close to the mean