The data below are the final exam scores of 10 randomly selected calculus students and the number of hoursthey slept the night before the exam. Calculate the linear correlation coefficient. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | }
\text { Hours, } \mathrm { x } & 4 & 6 & 3 & 9 & 3 & 5 & 5 & 6 & 7 & 4 \
\hline \text { Scores, } \mathrm { y } & 74 & 89 & 69 & 97 & 75 & 87 & 94 & 99 & 99 & 80
\end{array}$$
A) 0.847
B) 0.991
C) 0.761
D) 0.654

Question

The data below are the final exam scores of 10 randomly selected calculus students and the number of hoursthey slept the night before the exam. Calculate the linear correlation coefficient. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } 
\text { Hours, } \mathrm { x } & 4 & 6 & 3 & 9 & 3 & 5 & 5 & 6 & 7 & 4 \
\hline \text { Scores, } \mathrm { y } & 74 & 89 & 69 & 97 & 75 & 87 & 94 & 99 & 99 & 80
\end{array}$$
A) 0.847
B) 0.991
C) 0.761
D) 0.654

Quizplus · Accepted Answer

The linear correlation coefficient, also known as Pearson's r, measures the strength and direction of a linear relationship between two variables. Calculating it for the given data results in approximately 0.847, indicating a strong positive correlation between hours slept and exam scores.

The Data Below Are the Final Exam Scores of 10