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What italicized letter represents the correlation coefficient? \( t \) \( z \) \( r \) \( s \)

Ask by Vega Gough. in the United States
Feb 03,2025

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The correlation coefficient is represented by **\( r \)**.

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The italicized letter that represents the correlation coefficient is: **\( r \)** The correlation coefficient \( r \) measures the strength and direction of the linear relationship between two variables. Its value ranges from -1 to 1, where: - **\( r = 1 \)** indicates a perfect positive linear relationship. - **\( r = -1 \)** indicates a perfect negative linear relationship. - **\( r = 0 \)** indicates no linear relationship. The other letters represent different statistical concepts: - **\( t \)**: Typically refers to the t-statistic used in t-tests. - **\( z \)**: Represents the z-score in standard normal distributions. - **\( s \)**: Often denotes the sample standard deviation. **Answer:** \( r \)

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The italicized letter that represents the correlation coefficient is \( r \). This statistical term measures the strength and direction of a linear relationship between two variables. Ranging from -1 to 1, a value of \( r = 1 \) indicates a perfect positive correlation, while \( r = -1 \) signifies a perfect negative correlation. An \( r \) value of 0 means there's no linear relationship at all—how fun is that? In practice, the correlation coefficient is widely used in fields like psychology, finance, and biology. For instance, researchers might use it to analyze the relationship between study hours and exam scores or explore the link between income levels and health outcomes. Understanding \( r \) can help identify trends and inform decisions based on data, adding a scientific flair to everyday choices!

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