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For the Data Below, Determine the Value of the Linear rr

question 58

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For the data below, determine the value of the linear correlation coefficient rr between yy and x2x ^ { 2 } .
x1.22.74.46.69.5y1.64.79.924.539.0\begin{array}{r|rrrrr}\boldsymbol{x} & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline \boldsymbol{y} & 1.6 & 4.7 & 9.9 & 24.5 & 39.0\end{array}

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Definitions:

Raw Scores

The original, unmodified scores obtained in any assessment without adjustments or transformations.

Normally Distributed

Describes a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Normally Distributed

Describes a distribution of data that follows a bell-shaped curve, where most of the data points are close to the mean.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the individual values differ from the mean.

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