NSW Y12 Maths - Advanced Bivariant Data Analysis Correlation Coefficient

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Correlation Coefficient Theory

The measurement \(r\) called the Pearson's correlation coefficient and is used to determine how closely related variables are in a linear relationship.\\  Correlation coefficient \((n)\)\\ \(-1 \leq r \leq 1\) for all correlation coefficients \\  \(0<r \leqslant 1\) with a scatterplot with positive direction, where 1 is perfect positive correlation.\\  \(-1 \leqslant r<0\) for a scatterplot with negative direction, where \(-1\) is perfect negative correlation. \(r=0\) means no correlation.\\   \textbf{Example}\\ To determine \(r\) from the set of data \[ (1,7),(2,6),(3,4),(4,1) \] - Place your calculator in statistical mode\\ - Clear the statistical memory\\ - Enter the data\\ - Calculate \(r\)\\ - change back to normal mode \\  In this example \(r=-0.98\).\\

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  • Correlation Coefficient - Video - Correlation Coefficient: Pearson's r

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  • Correlation Coefficient - Video - Calculating correlation coefficient Pearson's r using Casio Scientific Calculator

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