A researcher wishes to determine whether the rate of water flow (in liters per s

Question

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). The researcher measures the amount of soil washed away for various flow rates, and from these data calculates the least-squares regression line to be amount of eroded soil = 0.4 + 1.3x(flow rate) One of the flow rates used by the researcher was 0.3 liters per second and for this flow rate the amount of eroded soil was 0.8 kilograms. These values were used in the calculation of the least-squares regression line. Find the residual corresponding to these values. Explain step by step

Explanation / Answer

Given

amount of eroded soil = 0.4 + 1.3 × (flow rate)

One of the used flow rate = 0.3

Therefore, amount of eroded soil = 0.4 + 1.3× (0.3)

= 0.79

The actual value = 0.8 kilograms

Therefore the error or residual = 0.8-0.79 =0.01

Therefore the answer is 0.01 kilograms

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