complete question:
Danila breeds peregrine falcons. She recorded the breadth (in mm) of each egg and the mass (in g) of the falcon
chick that hatched from it.
After plotting her results, Danila noticed that the relationship between the two variables was fairly linear, so she
used the data to calculate the following least squares regression equation for predicting the mass of the chick
from the breadth of the egg:
y = -47 + 2x
What is the residual of a 29 g falcon chick who hatches from an egg with a breadth of 40 mm ?
Answer:
residual = -4
Step-by-step explanation:
Residual is the difference between the actual mass of the falcon chick and the predicted mass of the falcon chick.
residual = actual - predicted
The square regression is used to evaluate the predicted mass of the falcon chick.
actual mass = 29 g
Predicted mass can be gotten from the regression line.
y = -47 + 2x
y = -47 + 2(40)
y = - 47 + 80
y = 33
Predicted mass of 40 mm breadth of egg from the regression line = 33 g
residual = actual - predicted
residual = 29 - 33
residual = -4
