A Series of Hamster Crosses Are Performed to Get an Insight

A series of hamster crosses are performed to get an insight into the mode of inheritance of three coat colors: plain brown,plain beige,and patchy brown.Note that not all the parents were pure-breeding.
$\begin{array}{|l|l|l|}\hline \text { Cross } & \text { Parents phenotypes } & F_{1} \text { phenotypes } \\\hline 1 . & \text { Plain brown } \times \text { plain brown } & 14 \text { plain brown } \\\hline 2 . & \text { Plain beige } \times \text { plain beige } & 12 \text { plain beige } \\\hline 3 . & \text { Patchy brown } \times \text { patchy brown } & 6 \text { patchy brown, } 3 \text { plain brown } \\\hline 4 . & \text { Plain brown } \times \text { plain beige } & 13 \text { plain brown } \\\hline 5 . & \text { Patchy brown } \times \text { plain brown } & 6 \text { plain brown } 7 \text { patchy brown } \\\hline 6 . & \text { Plain beige } \times \text { patchy brown } &7 \text { plain brown, } 3 \text { patchy brown, } 3 \text { plain } \\&&\text { beige }\\\hline7. &\text { Plain beige} \times \text { plain beige}&\text { 9 plain beige}\\\hline8 . & \text { Plain brown } \times \text { plain brown } & 10 \text { plain brown, } 3 \text { plain beige }\\\hline\end{array}$

Propose a mode of inheritance for coat color in hamsters,using symbols of your own choosing to identify genes and alleles.Indicate relationships between alleles,and use the data above to support your explanation.