Mathematics, 04.02.2020 05:41 challenggirl

Keeping water supplies clean requires regular measurement of levels of pollutants. the measurements are indirect—a typical analysis involves forming a dye by a chemical reaction with the dissolved pollutant, then passing light through the solution and measuring its "absorbence." to calibrate such measurements, the laboratory measures known standard solutions and uses regression to relate absorbence and pollutant concentration. this is usually done every day. here is one series of data on the absorbence for different levels of nitrates. nitrates are measured in milligrams per liter of water.

nitrates 50 50 100 200 400 800 1200 1600 2000 2000
absorbence 7.0 7.6 12.7 24.0 47.0 93.0 138.0 183.0 231.0 226.0

the calibration process sets nitrate level and measures absorbence. the linear relationship that results is used to estimate the nitrate level in water from a measurement of absorbence.

a. what is the equation of the line used to estimate nitrate level?
b. what does the slope of this line say about the relationship between nitrate level and absorbence?
c. what is the estimated nitrate level in a water specimen with absorbence 40?

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