$$\begin{array}{l}
\text { The western city wishes to see if there is a relationship between the summer temperature and the amount }\
\begin{array} { c c c }
& \left. \operatorname { Temp } ^ { \circ } { } ^ { \circ } \mathrm { C } \right) & \text { Kilowatts, } { } ^ { y } \
& 22.7 & 680 \
& 25.5 & 760 \
& 29.4 & 910 \
& 36.6 & 1,510 \
& 38.8 & 1,170 \
& 27.2 & 837 \
\text { of electricity used (in kilowatts). } & 24.4 & 600 \
& 40.5 & 1,800
\end{array}
\end{array}$$
-Compute the value of the correlation coefficient for the data in the table.
A) 0.924
B) 0.834
C) 0.798
D) 0.938

Question

$$\begin{array}{l}
\text { The western city wishes to see if there is a relationship between the summer temperature and the amount }\
\begin{array} { c c c } 
& \left. \operatorname { Temp } ^ { \circ } { } ^ { \circ } \mathrm { C } \right) & \text { Kilowatts, } { } ^ { y } \
& 22.7 & 680 \
& 25.5 & 760 \
& 29.4 & 910 \
& 36.6 & 1,510 \
& 38.8 & 1,170 \
& 27.2 & 837 \
\text { of electricity used (in kilowatts). } & 24.4 & 600 \
& 40.5 & 1,800
\end{array}
\end{array}$$
-Compute the value of the correlation coefficient for the data in the table.
A) 0.924
B) 0.834
C) 0.798
D) 0.938

Quizplus · Accepted Answer

The correlation coefficient is a measure of the strength and direction of a linear relationship between two variables. It can range from -1 to 1, where -1 indicates a perfect negative relationship, 0 indicates no relationship, and 1 indicates a perfect positive relationship.In this case, the correlation coefficient between summer temperature and electricity usage is 0.924, which indicates a strong positive relationship. This means that as summer temperature increases, electricity usage also tends to increase.

-Compute the Value of the Correlation Coefficient for the Data