The article \"Toxiccity Assessment of Wastewaters, River watersand sediments in

Question

The article "Toxiccity Assessment of Wastewaters, River watersand sediments in aistria using cost-effective microbiotests.", byM. Latif and E. Licek ( 2004, Enviromental Toxicity, Vol 19, No 4,302-308) reports data on conductivity (s/cm) measurements ofsurface water (X), and water in the sediment at the bank of a river(Y), taken at 10 points during winter. The data are X: 220 800 277 223 226 240 752 317 333 340 Y: 386 889 358 362 411 390 927 612 554 532
Assume that the regression function of Y on X is linear, and theconditional variance of Y is given a value of x of X is ^2,the same for all x.
==> Construct a CI for the expected change in the averagesediment conductivity when the surface conductivity increases by50.
The article "Toxiccity Assessment of Wastewaters, River watersand sediments in aistria using cost-effective microbiotests.", byM. Latif and E. Licek ( 2004, Enviromental Toxicity, Vol 19, No 4,302-308) reports data on conductivity (s/cm) measurements ofsurface water (X), and water in the sediment at the bank of a river(Y), taken at 10 points during winter. The data are X: 220 800 277 223 226 240 752 317 333 340 Y: 386 889 358 362 411 390 927 612 554 532
Assume that the regression function of Y on X is linear, and theconditional variance of Y is given a value of x of X is ^2,the same for all x.
==> Construct a CI for the expected change in the averagesediment conductivity when the surface conductivity increases by50.

Explanation / Answer

By using the statistical package we get the followingoutput Predicted Values for NewObservations New
Obs       Fit         SEFit         95%CI              95% PI
1         240.7       37.7     (153.8,327.5)     (69.1, 412.3)Values of Predictors for NewObservations New
Obs    x
1     50.0 95 % Confidence Interval for theexpected change in the average sediment conductivity when thesurface conductivity increases by 50 is (153.8 , 327.5)
95 % Confidence Interval for theexpected change in the average sediment conductivity when thesurface conductivity increases by 50 is (153.8 , 327.5)

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