QUESTION 2

1.The Preserve has a Linear Prediction model it uses for a Human Disturbance Index (0 - 100):

Disturbance Index = 10.4 + 1.4 * Developed Lots per Square Mile

(with count of Developed Lots going from 2 to 64)

a) What are the values for a and b in this model?What do they represent?

b) For an area with 15 Developed Lots, what is the prediction for its Disturbance Index?

10 points

QUESTION 3

1.For the Disturbance Index Prediction model, a Sample of 60 areas has a Developed Lot Standard Deviation s_X= 4.5 and a Disturbance Index Standard Deviation of s_Y= 15.0.

a) What Correlation would we calculate for the two Variables?What does the Correlation represent?

b) What Coefficient of Determination would we calculate for the two Variables?What does r²represent?

10 points

QUESTION 4

1.For the Conservation Index model, we have a new Sample of 12 measurements:

Developed Lot Counts = {59, 13, 23, 52, 62, 24, 10, 38, 57, 7, 8, 31}

Disturbance Index = {82, 28, 65, 93, 69, 5, 23, 65, 77, 38, 23, 89}

a) Build and show the "best-fit" Linear Prediction model for this Sample. (3 decimal places)

What Correlation r does it have?What Determination r²does it have?