Danila breeds peregrine falcons

What s the residual of a 29g falcon chick who hatches from an egg with a Breadth of 40 mm

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