Answer :
Sure, let's fill out the data table with the predicted fractions for each phenotype based on the information provided.
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline & \begin{tabular}{l} Black Fur and \\ Black Eyes \end{tabular} & \begin{tabular}{l} Black Fur and \\ Red Eyes \end{tabular} & \begin{tabular}{l} White Fur and \\ Black Eyes \end{tabular} & \begin{tabular}{l} White Fur and \\ Red Eyes \end{tabular} \\ \hline Predicted Fraction & \frac{9}{16} & \frac{7}{16} & \frac{3}{16} & \frac{1}{16} \\ \hline \end{tabular} \][/tex]
Breaking it down:
1. Black Fur and Black Eyes: The predicted fraction for this phenotype is [tex]\( \frac{9}{16} \)[/tex], which equals 0.5625.
2. Black Fur and Red Eyes: The predicted fraction for this phenotype is [tex]\( \frac{7}{16} \)[/tex], which equals 0.4375.
3. White Fur and Black Eyes: The predicted fraction for this phenotype is [tex]\( \frac{3}{16} \)[/tex], which equals 0.1875.
4. White Fur and Red Eyes: The predicted fraction for this phenotype is [tex]\( \frac{1}{16} \)[/tex], which equals 0.0625.
These fractions represent the predicted probabilities for each possible phenotype of the offspring based on the genotypic combinations from the Punnett square.
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline & \begin{tabular}{l} Black Fur and \\ Black Eyes \end{tabular} & \begin{tabular}{l} Black Fur and \\ Red Eyes \end{tabular} & \begin{tabular}{l} White Fur and \\ Black Eyes \end{tabular} & \begin{tabular}{l} White Fur and \\ Red Eyes \end{tabular} \\ \hline Predicted Fraction & \frac{9}{16} & \frac{7}{16} & \frac{3}{16} & \frac{1}{16} \\ \hline \end{tabular} \][/tex]
Breaking it down:
1. Black Fur and Black Eyes: The predicted fraction for this phenotype is [tex]\( \frac{9}{16} \)[/tex], which equals 0.5625.
2. Black Fur and Red Eyes: The predicted fraction for this phenotype is [tex]\( \frac{7}{16} \)[/tex], which equals 0.4375.
3. White Fur and Black Eyes: The predicted fraction for this phenotype is [tex]\( \frac{3}{16} \)[/tex], which equals 0.1875.
4. White Fur and Red Eyes: The predicted fraction for this phenotype is [tex]\( \frac{1}{16} \)[/tex], which equals 0.0625.
These fractions represent the predicted probabilities for each possible phenotype of the offspring based on the genotypic combinations from the Punnett square.