Question

A study to assess the capability of subsurface flow wetland systems to remove biochemical oxygen demand (BOD) and various other chemical constituents resulted in the accompanying data on x = BOD mass loading and y = BOD mass removal.

x =BOD mass loading 8 10 11 13 16 27

y = BOD mass removal 7 8 8 10 27 16

a)Obtain the estimated ??̂0 and ??̂1 coefficients. (4 pts.) Show your calculations.

b)Write the linear regression equation. (2 pts.)

c)Calculate the coefficient of determination (R^2) ( 4 pts.)

d)Does there appear to be a useful relationship between BOD mass loading and BOD mass removal? State and test the appropriate hypothesis. Use ?=0. 05.

Answer 1