Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists. Round to three decimal places.

$\backslash$table$[[x,10,11,16,9,7,15,16,10],[y,96,51,62,58,89,81,46,51]]$

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A$.r=-0\mathrm{.}335$; a linear relation exists

B$.r=0\mathrm{.}462$; a linear relation exists

C$.r=-0\mathrm{.}284$; no linear relation exists

D$.r=-0\mathrm{.}335$; no linear relation exists