Answer :
Let's determine the predicted fractions for each category to complete the provided table. Here’s the step-by-step breakdown to find those fractions:
1. Category 1: Black Fur and Black Eyes
The predicted fraction for this category is [tex]\( \frac{9}{16} \)[/tex].
2. Category 2: Black Fur and Red Eyes
The predicted fraction for this category is [tex]\( \frac{3}{16} \)[/tex].
3. Category 3: White Fur and Black Eyes
The predicted fraction for this category is [tex]\( \frac{3}{16} \)[/tex].
4. Category 4: White Fur and Red Eyes
The predicted fraction for this category is [tex]\( \frac{1}{16} \)[/tex].
Now, plug these values into the table:
[tex]\[ \begin{tabular}{|l|c|c|c|c|} \hline & \begin{tabular}{c} Black \\ Fur and \\ Black \\ Eyes \end{tabular} & \begin{tabular}{c} Black \\ Fur and \\ Red \\ Eyes \end{tabular} & \begin{tabular}{c} White \\ Fur and \\ Black \\ Eyes \end{tabular} & \begin{tabular}{c} White \\ Fur and \\ Red \\ Eyes \end{tabular} \\ \hline \begin{tabular}{l} Predicted \\ Fraction \end{tabular} & $\frac{9}{16}$ & $\frac{3}{16}$ & $\frac{3}{16}$ & $\frac{1}{16}$ \\ \hline \end{tabular} \][/tex]
So, the table has been filled out accordingly with the predicted fractions for each category.
1. Category 1: Black Fur and Black Eyes
The predicted fraction for this category is [tex]\( \frac{9}{16} \)[/tex].
2. Category 2: Black Fur and Red Eyes
The predicted fraction for this category is [tex]\( \frac{3}{16} \)[/tex].
3. Category 3: White Fur and Black Eyes
The predicted fraction for this category is [tex]\( \frac{3}{16} \)[/tex].
4. Category 4: White Fur and Red Eyes
The predicted fraction for this category is [tex]\( \frac{1}{16} \)[/tex].
Now, plug these values into the table:
[tex]\[ \begin{tabular}{|l|c|c|c|c|} \hline & \begin{tabular}{c} Black \\ Fur and \\ Black \\ Eyes \end{tabular} & \begin{tabular}{c} Black \\ Fur and \\ Red \\ Eyes \end{tabular} & \begin{tabular}{c} White \\ Fur and \\ Black \\ Eyes \end{tabular} & \begin{tabular}{c} White \\ Fur and \\ Red \\ Eyes \end{tabular} \\ \hline \begin{tabular}{l} Predicted \\ Fraction \end{tabular} & $\frac{9}{16}$ & $\frac{3}{16}$ & $\frac{3}{16}$ & $\frac{1}{16}$ \\ \hline \end{tabular} \][/tex]
So, the table has been filled out accordingly with the predicted fractions for each category.