Consider ranger sarah 's situation from the previous problem.
a. about how many nightingales would ranger sarah expect to find in a particular area with 6 oaks?
b. sarah went back to holly state park and observed 4 nightingales on the plot with 6 oaks. what is the residual for this particular area?
c. draw the upper and lower boundary lines by hand on your scatterplot. what are the equations for these lines?
d. what is the upper and lower bound of your prediction in part (a)?

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