While calculating filterablity of sludge, I need y=mx+c equation to calculate alpha and Rm . I found that in some of the literature they have mentioned some units for slope and intercept. Does really this slope and intercepts have units?
consider the following example:
y(Response variable)= percent yield of an extraction process
x(Regressor)= volume of the extracting medium,e.g benzene.
then unit of slope = unit of y/unit of x ( which is % yield per unit volume)
unit of intercept is same as that of the y variable.
in natural sciences, any quantity stated without unit is of not much meaning, although when using the regression model the precise units of m and c do not matter because your (x,y) data are already in appropriate units but when presenting the model to an audience, it is essential to express the units appropriately, at least for x and y, then the interested audience can compute the sensitivity and intercepts units appropriately.
Dear Sri Katha,
The slope is mathematically dy/dx which is a speed of change of y with respect to x. Thus the corresponding unit of the slope is e.g. m/s (meters over seconds).
d is a "delay of y" (positive or negative) and has the same unit as y.
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