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A +0.50 correlation coefficient indicates a stronger relation than does a correlation of -0.75. True or False ?

1 Answer

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Final answer:

False

The statement is false because a correlation coefficient of -0.75 indicates a stronger relationship than +0.50, as the strength of the relationship is indicated by how close the number is to 1 or -1.

Step-by-step explanation:

The statement given is False. The correlation coefficient represents the strength and direction of a linear relationship between two variables. The number part of the correlation coefficient, which can range from -1 to +1, tells us how strong the relationship is. The closer the coefficient is to -1 or +1, the stronger the relationship. A positive correlation coefficient (positive correlation) means that as one variable increases, the other also increases, and as one variable decreases, the other also decreases. Conversely, a negative correlation coefficient (negative correlation) indicates that as one variable increases, the other decreases, and vice versa. Therefore, a correlation coefficient of -0.75 actually represents a stronger relationship than a correlation coefficient of +0.50, because -0.75 is closer to -1 than +0.50 is to +1, regardless of the sign.

User Evan Carroll
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