H13-311_V3.5 · Question #183
The correlation coefficient. also known as the linear correlation coefficient, is used to measure the linear relationship between two variables, which is a real number greater than zero
The correct answer is B. False. Option B is correct because the correlation coefficient (r) is not restricted to values greater than zero - it ranges from -1 to +1, inclusive. A negative r value indicates an inverse (negative) linear relationship between the two variables, while zero indicates no linear…
Question
The correlation coefficient. also known as the linear correlation coefficient, is used to measure the linear relationship between two variables, which is a real number greater than zero
Options
- ATrue
- BFalse
How the community answered
(29 responses)- A24% (7)
- B76% (22)
Explanation
Option B is correct because the correlation coefficient (r) is not restricted to values greater than zero - it ranges from -1 to +1, inclusive. A negative r value indicates an inverse (negative) linear relationship between the two variables, while zero indicates no linear relationship at all, and positive values indicate a positive relationship.
Option A is wrong on two counts: it falsely excludes negative values (which represent negative correlations) and zero (which represents no correlation), making the "greater than zero" claim incorrect.
Memory tip: Think of r as living on a number line between -1 and +1. The sign tells you the direction (positive or negative relationship) and the magnitude tells you the strength (closer to ±1 = stronger). Whenever you see "correlation coefficient must be positive," that's the trap - don't fall for it.
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