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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

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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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
Transcribed Image Text: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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