Danila breeds peregrine falcons. she recorded the breadth (in mm) of each egg and the mass (in g) of the f
chick that hatched from it.
after plotting her results, danila noticed that the relationship between the two variables was fairly linear, so
used the data to calculate the following least squares regression equation for predicting the mass of the chi
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 ?

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5

the answer for the second equation is (4,0)

a

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a