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Pearson's correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, X and Y. The formula is given by r = (Σ((Xi - X̄)(Yi - Ŷ))) / (n-1) * (σx * σy), where σx and σy are the standard deviations, and X̄ and Ŷ are the means of X and Y, respectively. A value of r close to 1 indicates a strong positive correlation, while a value close to -1 indicates a strong negative correlation. Understanding this coefficient is crucial for data analysis and interpretation in various fields.
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Correlation Coefficient • Pearson’s r: • Where and are the standard deviation of x and y, and are the means