Answer:
a) 4.9
b) Residual = -1
c)For upper boundary line y = 0.5 x +3
For lower boundary line y = 0.5 x +1
d) For upper boundary line y = 6
For lower boundary line y = 4
Step-by-step explanation:
From the given statement
a) y = 0.5 x + 19
= 0.5 (6) + 19
= 3 + 1.9
= 4.9 So Ranger Sarah expect 5 nightingales for 6 oaks
b) From the above statement we conduct a formula such that
Residual = actual value - predicted value
= 4 - 5 = -1
c) the equation for these line will be as plot is shown in the attachment
For upper boundary line
y- y ₁ = m. (x - x₁)
y -5 = 0.5 (x-4)
y=0.5 x -2+5
y = 0.5 x +3
For lower boundary
y- y ₁ = m. (x - x₁)
y -3 = 0.5 (x-4)
y=0.5 x -2+3
= 0.5 x +1
d) For upper boundary line
putting x= 6 in lower and upper bound
y- y ₁ = m. (x - x₁)
y -5 = 0.5 (x-4)
y=0.5 (6) -2+5
y= 3+3 = 6
For lower boundary
y- y ₁ = m. (x - x₁)
y -3 = 0.5 (x-4)
y=0.5 (6) -2+3
= 3+1 =4
