Q.4. I State what you would plot to get a straight line if experimental (x, y) data are to be correlated by the following relations, and what the slopes and intercepts would be in terms of the relation parameters. If you could equally well use two different kinds of plots (e.g., rectangular or semilog), state what you would plot in each case. [The solution to part (a) is given as an example.] (a) y = ae-b/. Solution: Construct a semilog plot of y versus 1/x or a plot of In (y) versus 1/x on rectangular coordinates. Slope = -b, intercept = In a. (b) y = mx-n (c) 1/ In(y- 3) = (1 + a x)/b (d) (y+1) = [a(x – 3)'] (e) y = exp(a x + b) () xy = 10+y A(g) y = [ax + b/x]=! %3D

Question
Q.4.
I State what you would plot to get a straight line if experimental (x, y) data are to be correlated by the
following relations, and what the slopes and intercepts would be in terms of the relation parameters.
If you could equally well use two different kinds of plots (e.g., rectangular or semilog), state what
you would plot in each case. [The solution to part (a) is given as an example.]
(a) y = ae-b/.
Solution: Construct a semilog plot of y versus 1/x or a plot of In (y) versus 1/x on rectangular
coordinates. Slope = -b, intercept = In a.
(b) y = mx-n
(c) 1/ In(y- 3) = (1 + a x)/b
(d) (y+1) = [a(x – 3)']
(e) y = exp(a x + b)
() xy = 10+y
A(g) y = [ax + b/x]=!
%3D

Image Transcription

Q.4. I State what you would plot to get a straight line if experimental (x, y) data are to be correlated by the following relations, and what the slopes and intercepts would be in terms of the relation parameters. If you could equally well use two different kinds of plots (e.g., rectangular or semilog), state what you would plot in each case. [The solution to part (a) is given as an example.] (a) y = ae-b/. Solution: Construct a semilog plot of y versus 1/x or a plot of In (y) versus 1/x on rectangular coordinates. Slope = -b, intercept = In a. (b) y = mx-n (c) 1/ In(y- 3) = (1 + a x)/b (d) (y+1) = [a(x – 3)'] (e) y = exp(a x + b) () xy = 10+y A(g) y = [ax + b/x]=! %3D

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