Which of the following are measures of the linear relationship between two variables?
A) The covariance.
B) The coefficient of correl ation.
C) The coefficient of determination.
D) All of these choices are correct.

Question

Which of the following are measures of the linear relationship between two variables? 
A) The covariance.
B) The coefficient of correl ation.
C) The coefficient of determination.
D) All of these choices are correct.

Quizplus · Accepted Answer

All three of these options are valid measures of the linear relationship between two variables. 
- Covariance measures how much two variables vary together (i.e. how they move in relation to each other). However, the units of covariance make it difficult to interpret and compare across different datasets.
- Correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation. The correlation coefficient has no units, making it easier to compare across different datasets.
- Coefficient of determination (R-squared) is a measure of how much the variation in one variable can be explained by the variation in the other variable. It ranges from 0 to 1, with higher values indicating a stronger relationship. For example, an R-squared of 0.75 indicates that 75% of the variation in one variable can be explained by the other variable. R-squared can be useful for comparing the strength of different relationships across datasets.

Which of the Following Are Measures of the Linear Relationship