Answered

Data Set

\begin{tabular}{|c|c|c|c|}
\hline
Year & Civilian Labor Force & \# Unemployed & Unemployment Rate \\
\hline
2002 & 144,863 & 8,378 & [tex]$5.78\%$[/tex] \\
\hline
2003 & 146,510 & 8,774 & [tex]$\%$[/tex] \\
\hline
2004 & 147,401 & 8,149 & [tex]$\%$[/tex] \\
\hline
2005 & 149,320 & 7,591 & [tex]$\%$[/tex] \\
\hline
2006 & 151,428 & 7,001 & [tex]$\%$[/tex] \\
\hline
2007 & 153,124 & 7,078 & [tex]$\%$[/tex] \\
\hline
2008 & 154,287 & 8,924 & [tex]$5.78\%$[/tex] \\
\hline
2009 & 154,142 & 14,265 & [tex]$\%$[/tex] \\
\hline
2010 & 153,889 & 14,825 & [tex]$9.63\%$[/tex] \\
\hline
2011 & 153,617 & 13,747 & [tex]$8.94\%$[/tex] \\
\hline
2012 & 154,974 & 12,506 & [tex]$\%$[/tex] \\
\hline
\end{tabular}



Answer :

GinnyAnswer
To determine the unemployment rate for each year where it is missing, we can follow these steps:

1. Understand the Unemployed Rate Calculation: The unemployment rate is calculated using the formula:
[tex]\[ \text{Unemployed Rate} = \left( \frac{\text{Number of Unemployed}}{\text{Civilian Labor Force}} \right) \times 100 \][/tex]

2. Calculate the Missing Unemployed Rates:

- For 2003:
[tex]\[ \text{Unemployed Rate} = \left( \frac{8774}{146510} \right) \times 100 \approx 5.9887\% \][/tex]

- For 2004:
[tex]\[ \text{Unemployed Rate} = \left( \frac{8149}{147401} \right) \times 100 \approx 5.5285\% \][/tex]

- For 2005:
[tex]\[ \text{Unemployed Rate} = \left( \frac{7591}{149320} \right) \times 100 \approx 5.0837\% \][/tex]

- For 2006:
[tex]\[ \text{Unemployed Rate} = \left( \frac{7001}{151428} \right) \times 100 \approx 4.6233\% \][/tex]

- For 2007:
[tex]\[ \text{Unemployed Rate} = \left( \frac{7078}{153124} \right) \times 100 \approx 4.6224\% \][/tex]

- For 2009:
[tex]\[ \text{Unemployed Rate} = \left( \frac{14265}{154142} \right) \times 100 \approx 9.2545\% \][/tex]

- For 2012:
[tex]\[ \text{Unemployed Rate} = \left( \frac{12506}{154974} \right) \times 100 \approx 8.0697\% \][/tex]

Below is the updated data set including the calculated unemployed rates:

[tex]\[ \begin{array}{|c|c|c|c|} \hline \text{Year} & \text{Civilian Labor Force} & \# \text{Unemployed} & \text{Unemployed Rate} \\ \hline 2002 & 144863 & 8378 & 5.78\% \\ \hline 2003 & 146510 & 8774 & 5.9887\% \\ \hline 2004 & 147401 & 8149 & 5.5285\% \\ \hline 2005 & 149320 & 7591 & 5.0837\% \\ \hline 2006 & 151428 & 7001 & 4.6233\% \\ \hline 2007 & 153124 & 7078 & 4.6224\% \\ \hline 2008 & 154287 & 8924 & 5.78\% \\ \hline 2009 & 154142 & 14265 & 9.2545\% \\ \hline 2010 & 153889 & 14825 & 9.63\% \\ \hline 2011 & 153617 & 13747 & 8.94\% \\ \hline 2012 & 154974 & 12506 & 8.0697\% \\ \hline \end{array} \][/tex]

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