This chart shows US citizens' participation in wartime activities.

\begin{tabular}{|l|c|c|c|c|}
\hline \multicolumn{5}{|c|}{Citizen Participation in Wartime Activities in the US (Millions of Citizens)} \\
\hline \multicolumn{1}{|c|}{Type of Participation} & 1916 & 1917 & 1918 & 1919 \\
\hline Active Military & 0.18 & 0.84 & 2.97 & 1.27 \\
\hline Total Number of Employed Workers & 40.1 & 41.5 & 44.0 & 42.3 \\
\hline
\end{tabular}

What relationship does the chart show between active military and employed workers?

A. The number of active military increased as the number of employed workers decreased.

B. The number of active military and employed workers decreased steadily.

C. The number of active military and employed workers jumped at the same time.

D. The number of active military decreased as the number of employed workers increased.



Answer :

Let's analyze the relationship between the number of active military and the number of employed workers from the data provided in the table for the years 1916, 1917, 1918, and 1919:

1. Year 1916:
- Active military: 0.18 million
- Employed workers: 40.1 million

2. Year 1917:
- Active military: 0.84 million
- Employed workers: 41.5 million

3. Year 1918:
- Active military: 2.97 million
- Employed workers: 44.0 million

4. Year 1919:
- Active military: 1.27 million
- Employed workers: 42.3 million

We need to determine the relationship between these two sets of data.

First, observe the trends for each year:
- From 1916 to 1917, the number of active military increased from 0.18 to 0.84 million; the number of employed workers also increased from 40.1 to 41.5 million.
- From 1917 to 1918, the number of active military increased significantly from 0.84 to 2.97 million; the number of employed workers also increased from 41.5 to 44.0 million.
- From 1918 to 1919, the number of active military decreased from 2.97 to 1.27 million; the number of employed workers decreased from 44.0 to 42.3 million.

Next, let's calculate the correlation between active military and employed workers. The correlation coefficient between active military and employed workers is [tex]\( 0.9785668074023715 \)[/tex].

A correlation coefficient close to 1 indicates a strong positive relationship between the two variables. Therefore, the data shows that as the number of active military increased, the number of employed workers also increased. Conversely, as the number of active military decreased, the number of employed workers also decreased.

Based on the trends and the computed correlation, we can conclude:
- The number of active military and employed workers increased and decreased together.

Hence, the correct interpretation of the relationship between the two variables from the chart is:
- The number of active military and employed workers jumped at the same time.

So, the correct choice is: The number of active military and employed workers jumper at the same time.