Keeping water supplies clean requires regular measurement of levels of pollutants. To calibrate such measurements, the laboratory measures known standard solutions and uses regression to relate absorbence and pollutant concentration. Here is one series of data on absorbence for different levels of nitrates. Nitrates are measured in milligrams per liter of water. Nitrates 50 100 150 300 200 400 800 1200 1700o 2000 Absorbance 5.6 7.2 10.4 25.4 40.394.3 132.1180.1 226.6 234.5 Chemical theory says that these data should lie on a straight line. If the correlation is not at least 0.997, something went wrong and the calibration procedure is repeated. (a) Find the correlation r. r = (b) Must the calibration be done again? (Answer YES or NO).
Keeping water supplies clean requires regular measurement of levels of pollutants. To calibrate such measurements, the laboratory measures known standard solutions and uses regression to relate absorbence and pollutant concentration. Here is one series of data on absorbence for different levels of nitrates. Nitrates are measured in milligrams per liter of water. Nitrates 50 100 150 300 200 400 800 1200 1700o 2000 Absorbance 5.6 7.2 10.4 25.4 40.394.3 132.1180.1 226.6 234.5 Chemical theory says that these data should lie on a straight line. If the correlation is not at least 0.997, something went wrong and the calibration procedure is repeated. (a) Find the correlation r. r = (b) Must the calibration be done again? (Answer YES or NO).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Keeping water supplies clean requires regular measurement of levels of pollutants. To calibrate such measurements, the laboratory
measures known standard solutions and uses regression to relate absorbence and pollutant concentration. Here is one series of data on the
absorbence for different levels of nitrates. Nitrates are measured in milligrams per liter of water.
Nitrates
50 100 150 300 200 400 800 1200 1700 2000
Absorbance 5.6 7.2 10.4 25.4 40.394.3132.1180.1 226.6 234.5
Chemical theory says that these data should lie on a straight line. If the correlation is not at least 0.997, something went wrong and the
calibration procedure is repeated.
(a) Find the correlation r.
r =
(b) Must the calibration be done again? (Answer YES or NO).
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