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Solve the Problem A) Negative Correlation


B) Positive Correlation

question 12

Multiple Choice

Solve the problem.
-The table below shows the sales and profits of a company from 2000 to 2005. Construct a scatter diagram for the data and state whether sales and profits for this company have no correlation, a positive correlation, or a negative correlation for this period.

 Year  (Millions of $)   Profits  (Millions of $)  200071200112420021022003922004133200580\begin{array} { c c c } \text { Year } & \text { (Millions of \$) } & \begin{array} { c } \text { Profits } \\\text { (Millions of \$) }\end{array} \\2000 & 7 & 1 \\2001 & 12 & 4 \\2002 & 10 & 2 \\2003 & 9 & 2 \\2004 & 13 & 3 \\2005 & 8 & 0\end{array}

 Solve the problem. -The table below shows the sales and profits of a company from 2000 to 2005. Construct a scatter diagram for the data and state whether sales and profits for this company have no correlation, a positive correlation, or a negative correlation for this period.    \begin{array} { c c c }  \text { Year } & \text { (Millions of \$)  } & \begin{array} { c }  \text { Profits } \\ \text { (Millions of \$)  } \end{array} \\ 2000 & 7 & 1 \\ 2001 & 12 & 4 \\ 2002 & 10 & 2 \\ 2003 & 9 & 2 \\ 2004 & 13 & 3 \\ 2005 & 8 & 0 \end{array}      A)  Negative correlation    B)  Positive correlation    C)  No correlation    D)  No correlation


Definitions:

Entropy Term

A thermodynamic quantity representing the degree of disorder or randomness in a system, significant in predicting the spontaneity of processes.

ΔG°

Standard Gibbs free energy change, a thermodynamic quantity indicating the spontaneity of a reaction at standard conditions; negative values suggest spontaneity.

Exothermic

A chemical reaction or process that releases heat to its surroundings.

Endothermic

Describes a process or reaction that absorbs energy from its surroundings, typically in the form of heat.

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