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

Question

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

Quizplus · Accepted Answer

The linear correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. A value of $r = 0.847$ indicates a strong positive linear relationship, suggesting that as the number of days spent on the project increases, the score also tends to increase.

Compute the Linear Correlation Coefficient Between the Two Variables and Determine