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 ?

residual = - 4

Step-by-step explanation:

The residual is the difference between the actual mass of the falcon chick and the mass our regression line would have predicted.

residual = actual mass - predicted mass

actual mass = 29 grams

The predicted mass of 40 mm breadth of egg can be calculated by using the regression equation Danila came up with.

predicted mass

y = -47 + 2(40)

y = -47 + 80

y = 33 grams

residual = actual mass - predicted mass

residual =  29 - 33

residual = - 4

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step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,