/2T 12. The municipality of Lanceburg records an average daily water consumption

Question

/2T 12. The municipality of Lanceburg records an average daily water consumption of 998 L per household using an unmetered distribution system. The town decides to install water meters at a rate of 100 households per month. After six months) an analysis shows the line of best fit for the average consumption, C, per household, versus the number of meters installed, n, has the equation C -0.359n+996. At a level of 300 meters, consumption was 877 L per household. a. What is the predicted consumption per household after 300 meters are installed? /2T b. Determine the residual for 300 meters

Explanation / Answer

The regression model for consumption is

C=-0.359 n + 996

Therefor consumtion of household after 300 meters are installed is

a) C= -0.359 * 300 + 996 = 888.3 Liters

b) Residual for 300 meter is Obeserved - Predicted = 877 - 888.3 = -11.7

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