When water flows across farm land, some of the soil is washed away, resulting in

Question

When water flows across farm land, some of the soil is washed away, resulting in erosion. An experiment was conducted to investigate the effect of the rate of water flow on the amount of soil washed away. Flow is measured in liters per second, and the eroded soil is measured in kilograms. Based on the data, the regression line predicting the kilograms of eroded soil is y = 1.39 x + 0.41. If it was observed that a flow rate of 0.85 liter/sec results in 1.95 kg of eroded soil. What is the residual for a flow rate of 0.85 lliters/sec?

Explanation / Answer

y = 1.39 x + 0.41

x = 0.85

y = 1.39 * 0.85 + 0.41 = 1.5915

Residual = observed value - predicted value

               = 1.95 - 1.5915

              = 0.3585 litres/sec (ans)

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