Finiding composition of circuit from frequency response and bode plot
It's a \$RLC\$ circuit, maybe. 

First, from the right graph, when the real part is \$100\Omega\$ or so, the image part range from \$-500\$ to \$500\Omega\$, so i guess it has a \$R\$ in series with a reactive part. And from the the phase graph, it apparently capacitive at low frequency, inductive at high frequency, so it maybe has a \$C\$ and \$L\$ in series. Now the whole circuit should be a \$RLC\$ in series.

Omit the \$L\$ part at low frequency, and omit the \$C\$ part at high frequency, then

$$
R=100\Omega\\
|Z_{x}|=\sqrt{R^2+\frac{1}{w^2C^2}} = 500 \quad \text{when}\quad  w=2\pi \times 1Hz\\
|Z_{x}|=\sqrt{R^2+w^2L^2}=500 \quad \text{when}\quad  w=2\pi \times 10^3Hz\\
$$

Solve it, we get
$$
C=2.69 \times 10^{-4}\text{F},L=7.8 \times 10^{-2}\text{H}
$$

Because we omitted \$C\$ at high frequency, and omitted \$L\$ at low frequency, there should some error. So, we adjust the value of \$C\$ and \$L\$, finally get your graphs.

$$
C=3 \times 10^{-4}\text{F},L=8 \times 10^{-2}\text{H},R=100\Omega
$$