Calculate the coefficient of determination

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Reference no: EM13953363

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.

(d) Calculate the coefficient of determination and provide your inter- pretation.

Reference no: EM13953363

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