Ocessing of raw coal involves "washing," in which coal ash (nonorganic, incombustible material) is removed. the article "quantifying sampling precision for coal ash using gy’s discrete model of the fundamental error" (journal of coal quality, 1989: 33–39) provides data relating the percentage of ash to the volume of a coal particle. the average percentage of ash for six volumes of coal part was measured, and represented below: volume (cm3) 0.01 0.06 0.58 2.24 15.55 276.02% ash 3.32 4.05 5.69 7.06 8.17 9.36compute the least square line for predicting percent ash from in volume.

y = 5.5765*x + 0.0142

Step-by-step explanation:

Let's consider the volume as the explanatory variable x and the percentage of ash as the response variable y

We construct the following table

Once this table is built, the rest is easy.

The least squares line is given by

y = mx + b

where  

where n is the number of observations taken, in this case 6.

Computing all these values we have our least squares line

And that's it!

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: