To determine the value of \( y \) given the information in the table, we need to understand how the residual is calculated and the context of the problem.
The residual is defined as the difference between the observed value and the predicted value (from the line of best fit). The formula for the residual is:
\[ \text{Residual} = \text{Observed Value} - \text{Predicted Value} \]
In your case, we are looking at an age of 8 and a weight of 61 with a residual of 1. Here, the weight (61) is the observed value, and we need to find the predicted value from the line of best fit.
Given that the residual is 1, we can rearrange the residual formula to find the predicted weight:
\[ \text{Predicted Value} = \text{Observed Value} - \text{Residual} \]
Substituting the known values:
\[ \text{Predicted Value} = 61 - 1 = 60 \]
Thus, the predicted weight for an age of 8 years is 60.
If you are looking for the predicted value, then \( y \) (the predicted weight corresponding to the age of 8) is therefore 60.