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The index of biotic integrity (IBI) is a measure of the water quality in streams

ID: 3183719 • Letter: T

Question

The index of biotic integrity (IBI) is a measure of the water quality in streams. IBI and land-use measures for a collection of streams in the Ozark Highland ecoregion of Arkansas were collected as part of a study. The data below gives the data for IBI and the area of the watershed in square kilometers for streams in the original sample with area less than or equal to 70km2.

(a) Use numerical and graphical methods to describe the variable IBI. Do the same for area. (Round your answers for x to two decimal places and your answers for s to three decimal places.)

IBI area:

Explanation / Answer

a)

b)

Regression Equation

Area (Y) = 6.318 + 0.354 IBI (X)

F= 9.124

P=0.0041

r = 0.403

c)

Correct Answer: Option (A) : The area of watershed is good predictior for IBI since P-value < alpha 0.05,

d) Intercept - Interpretation

Correct Answer: Option (B) :

e)

Slope - Interpretation

Correct Answer: Option (B) :

f) P-value

Correct Answer: Option (A)

IBI X-bar 62.08 S 407.41 Area: X-bar 28.286 S 313.792