-Compute the Value of the Correlation Coefficient for the Data

question 36

Multiple Choice

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

---

Definitions:

System

A set of interacting or interdependent components forming an integrated whole, often within a scientific or engineering context.

ΔG°

The standard change in Gibbs free energy associated with a chemical reaction at standard conditions, indicative of the reaction's spontaneity.

Transformation

In chemistry, it refers to a change in the chemical structure of a molecule through a chemical reaction.

Equilibrium

A state in a chemical reaction where the rates of the forward and reverse reactions are equal, leading to stable concentrations of reactants and products.