Find the value of the linear correlation coefficient r
-A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. $\begin{array}{cc}
\text { Number of hours spent in lab } & \text { Grade (percent) } \
\hline 10 & 96 \
11 & 51 \
16 & 62 \
9 & 58 \
7 & 89 \
15 & 81 \
16 & 46 \
10 & 51
\end{array}$
A) $- 0.335$
B) $- 0.284$
C) $0.462$
D) $0.017$

Question

Quizplus · Accepted Answer

The linear correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, where 1 means a perfect positive linear correlation, -1 means a perfect negative linear correlation, and 0 means no linear correlation. Calculating $r$ involves using the formula that takes into account the means and standard deviations of both variables, as well as their covariance. Given the data provided, the calculation of $r$ would yield a value of $-0.335$, indicating a weak negative linear relationship between the number of hours spent in the lab and the grade percentage. This means that, according to this dataset, as the number of hours spent in the lab increases, the grade slightly tends to decrease, although the relationship is not strong.

Find the Value of the Linear Correlation Coefficient R -A

Find the Value of the Linear Correlation Coefficient R
-A