Compute the Linear Correlation Coefficient Between the Two Variables and Determine

Multiple Choice

Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists.
-The table below shows the scores on an end-of-year project of 10 randomly selected architecture students and the number of days each student spent working on the project.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Days, } \mathrm{x} & 1 & 3 & 0 & 6 & 0 & 2 & 2 & 3 & 4 & 1 \\\hline \text { Score, } \mathrm{y} & 69 & 84 & 64 & 92 & 70 & 82 & 89 & 94 & 94 & 75\end{array}$

A) $r = 0.847$ ; linear relation exists
B) $r = 0.847$ ; no linear relation exists
C) $\mathrm { r } = 0.761$ ; linear relation exists
D) $\mathrm { r } = 0.761$ ; no linear relation exists