To calculate the predicted value (\( \hat{y} \)) using the line of best fit equation \( \hat{y} = 5.5x + 16 \), we need the age value to plug into the equation.
The table mentions a residual of \( 1 \) with an age of \( 8 \) and weight of \( 61 \).
We can calculate \( y^ \) first:
- Substitute \( x = 8 \) into the equation: \[ \hat{y} = 5.5(8) + 16 \] \[ \hat{y} = 44 + 16 \] \[ \hat{y} = 60 \]
Thus, the value for \( \hat{y} \) (the predicted weight) is \( 60 \).
Final answer:
60