The given equation corresponds to that of a Linear Regression i.e. the data is fit to a straight line where the equation is-
y = (g/k) m + y0
This is of the form:
y = a x + b
where a = slope and b = intercept
In this case:
Intercept = y0
Slope = g/k
thus, k = g/slope
The value of slope can be deduced from the fit and along with the knowledge of the value of g, k can be calulated.
The equation given depicts a linear regression equation written in slope - intercept format. To calculate the value k, simply make k the subject of the formula.
Given the equation :
y = (g/k) m + yo
Isolate (g/k) m
y - yo = (g/k)m
y - yo = gm/k
Multiply both sides by k
k(y - yo) = gm
Divide both sides by (y - yo)
k = gm/(y - yo)
Therefore, the value of k in the equation is k = gm/(y - yo)
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