Arsenic in groundwater. Refer to the EnvironmentalScience

Chapter 12, Problem 30E

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QUESTION:

Arsenic in groundwater. Refer to the EnvironmentalScience & Technology (Jan. 2005) study of the reliability of a commercial kit to test for arsenic in groundwater,Exercise 12.16 (p. 682). You fit a first-order model for arsenic level (y) as a function of latitude, longitude, anddepth. Based on the model statistics, the researchers concluded that the arsenic level is highest at a low latitude, high longitude, and low depth. Do you agree? If so,find a 95% prediction interval for arsenic level for the lowest latitude, highest longitude, and lowest depth that are within the range of the sample data. Interpret the result.

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QUESTION:

Arsenic in groundwater. Refer to the EnvironmentalScience & Technology (Jan. 2005) study of the reliability of a commercial kit to test for arsenic in groundwater,Exercise 12.16 (p. 682). You fit a first-order model for arsenic level (y) as a function of latitude, longitude, anddepth. Based on the model statistics, the researchers concluded that the arsenic level is highest at a low latitude, high longitude, and low depth. Do you agree? If so,find a 95% prediction interval for arsenic level for the lowest latitude, highest longitude, and lowest depth that are within the range of the sample data. Interpret the result.

ANSWER:

Step 1 of 4

Using the MINITAB, we obtain the regression analysis to the ?rst-order model for

arsenic level (y), as a function of latitude, longitude and depth.

     

From the output, the P-values are low for the latitude, longitude and depth, so we

conclude that, the arsenic level is highest at a low latitude, high longitude, and low depth

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