which r-value represents the strongest correlation 0.83 0.67 0.48 0.79

Daniel Parker

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01-03-2025

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Correlation coefficients, typically represented by the letter 'r', quantify the strength and direction of a linear relationship between two variables. The value of 'r' always falls between -1 and +1. But which r-value signifies the strongest correlation among 0.83, 0.67, 0.48, and 0.79? Let's break it down.

Understanding Correlation Coefficients

The absolute value of 'r' indicates the strength of the correlation. A value closer to 1 (either positive or negative) represents a stronger correlation. The sign (+ or -) simply tells us the direction of the relationship:

• Positive correlation (+): As one variable increases, the other tends to increase.
• Negative correlation (-): As one variable increases, the other tends to decrease.

A correlation of 0 means there's no linear relationship between the variables.

Comparing the R-Values

Now let's compare the given r-values: 0.83, 0.67, 0.48, and 0.79. To determine which represents the strongest correlation, we look at the absolute values:

• |0.83| = 0.83
• |0.67| = 0.67
• |0.48| = 0.48
• |0.79| = 0.79

Clearly, 0.83 has the highest absolute value.

Conclusion: The Strongest Correlation

Therefore, an r-value of 0.83 represents the strongest correlation among the options provided. This indicates a strong positive relationship between the two variables being studied. Remember, the closer the absolute value of 'r' is to 1, the stronger the linear association.