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Compute the Linear Correlation Coefficient Between the Two Variables and Determine

Question 54

Multiple Choice

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
-The table below shows the ages and weights (in pounds) of 9 randomly selected tennis coaches.
 Age, x333640434648525660 Weight (pounds) , y117121124132143146149151153\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Age, } \mathrm{x} & 33 & 36 & 40 & 43 & 46 & 48 & 52 & 56 & 60 \\\hline \text { Weight (pounds) , } \mathrm{y} & 117 & 121 & 124 & 132 & 143 & 146 & 149 & 151 & 153 \\\hline\end{array}


A) r=0.960\mathrm { r } = 0.960 ; linear relation exists
B) r=0.960r = 0.960 ; no linear relation exists
C) r=0.908\mathrm { r } = 0.908 ; no linear relation exists
D) r=0.908\mathrm { r } = 0.908 ; linear relation exists

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