To calculate the residual for the height of 6.08, we need to find the difference between the observed weight and the predicted weight (from the line of best fit).
-
The observed weight at a height of 6.08 is 185.
-
Using the line of best fit \( y = 105x - 439 \) to find the predicted weight:
- Substitute \( x = 6.08 \): \[ y = 105(6.08) - 439 = 638.4 - 439 = 199.4 \]
-
Now, calculate the residual: \[ \text{Residual} = \text{Observed Weight} - \text{Predicted Weight} = 185 - 199.4 = -14.4 \]
So the value to graph for the residual at a height of 6.08 is −14.4.