Question

Unusually high concentration of metals in drinking water can pose a health hazard. Twenty couples of data were taken from different locations of X Lake measuring zinc concentration in bottom water and surface water.

Table 1. Zinc Concentration (mg/l) in bottom and surface water in different regions and areas of X Lake

Location	Region	Area	Zinc_Bottom	Zinc_Surface	Zinc_Mean	TZ3_Mean
Loc 1	North	Area A	0.51	0.49	0.50	2.67
Loc 2	North	Area A	0.46	0.45	0.46	2.45
Loc 3	North	Area A	0.52	0.52	0.52	2.66
Loc 4	North	Area A	0.51	0.50	0.50	2.56
Loc 5	North	Area A	0.58	0.57	0.58	3.03
Loc 6	North	Area A	0.57	0.55	0.56	3.21
Loc 7	North	Area A	0.59	0.58	0.59	3.50
Loc 8	North	Area B	0.46	0.44	0.45	2.40
Loc 9	North	Area B	0.46	0.44	0.45	2.35
Loc 10	North	Area B	0.45	0.43	0.44	2.56
Loc11	East	Area B	0.41	0.40	0.41	1.33
Loc 12	East	Area B	0.41	0.39	0.40	1.56
Loc 13	East	Area B	0.41	0.39	0.40	1.23
Loc 14	East	Area B	0.47	0.45	0.46	1.12
Loc 15	East	Area C	0.41	0.39	0.40	1.23
Loc 16	East	Area C	0.37	0.36	0.37	1.10
Loc 17	East	Area C	0.41	0.39	0.40	1.20
Loc 18	East	Area C	0.40	0.39	0.39	1.10
Loc 19	East	Area C	0.39	0.37	0.38	1.12
Loc 20	East	Area C	0.46	0.44	0.45	1.30

QUESTION

Does the data suggest that there is a relationship between Zinc concentration and TZ3 concentration? If so, fit a simple regression model which explains zinc concentration (Zinc_Mean) with TZ3 concentration (TZ3_Mean). Obtain the ANOVA table of the regression. Comment on overall significance of the model and the coefficients.

Answer 1