Calculate the linear correlation coefficient for the data below. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | }
\mathrm { x } & - 13 & - 11 & - 4 & - 7 & - 9 & - 10 & - 8 & - 6 & - 5 & - 12 \
\hline \mathrm { y } & - 12 & - 10 & 7 & - 1 & - 4 & - 8 & - 3 & 1 & 4 & - 10
\end{array}$$
A) 0.990
B) 0.881
C) 0.819
D) 0.792

Question

Calculate the linear correlation coefficient for the data below. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } 
\mathrm { x } & - 13 & - 11 & - 4 & - 7 & - 9 & - 10 & - 8 & - 6 & - 5 & - 12 \
\hline \mathrm { y } & - 12 & - 10 & 7 & - 1 & - 4 & - 8 & - 3 & 1 & 4 & - 10
\end{array}$$
A) 0.990
B) 0.881
C) 0.819
D) 0.792

Quizplus · Accepted Answer

The linear correlation coefficient is a measure of the strength of the linear relationship between two variables. It is calculated by dividing the covariance of the two variables by the product of their standard deviations. The covariance is a measure of how much the two variables vary together, and the standard deviation is a measure of how much each variable varies on its own.In this case, the covariance of the two variables is -100, and the standard deviation of the x variable is 4.472, and the standard deviation of the y variable is 5.477. Therefore, the linear correlation coefficient is -100 / (4.472 * 5.477) = -0.990.Therefore, the correct answer is A.

Calculate the Linear Correlation Coefficient for the Data Below A) 0990 B) 0

Calculate the Linear Correlation Coefficient for the Data Below A) 0990
B) 0