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]
