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Trace metals in drinking water affect the flavor of the water, and un-usually high concentration can pose a health hazard. Table E8.1 shows trace-metal concentrations (zinc, in mg/L) for both surface water and bottom water at six different river locations. Our aim is to see if surface water concentration (x) is predictive of bottom water concentration ( y).
TABLE E8.1
Location
Bottom
Surface
1
0.430
0.415
2
0.266
0.238
3
0.567
0.390
4
0.531
0.410
5
0.707
0.605
6
0.716
0.609
(a) Draw a scatter diagram to show a possible association between the concentrations and check to see if a linear model is justified.
(b) Estimate the regression parameters, the bottom water concentration for location with a surface water concentration of 0.5 mg/L, and draw the regression line on the same graph with the scatter diagram.
(c) Test to see if the two concentrations are independent; state your hypotheses and choice of test size.
(d) Calculate the coefficient of determination and provide your inter- pretation.
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