For one of my maths assignments, I need to justify any arguement I make. One of the facts I stated was that the formula from a log-log graph was in linear nature. Why is this?
I need help justifying why log-log graphs produce linear models.
Thanks!
Three answers:
anonymous
2008-08-05 06:35:07 UTC
on linear graph
y on vertical
x on horizontal
y = mx + a is straight line
on semi-log graph, log scale vertical, linear scale horizotal
y on vertical
x on horizontal
log y = mx + a is a straight line
on log-log graph, log scale vertical, log scale horizontal
y on vertical
x on horizontal
log y = log x + a is a straight line
it will be a curve for other equations
Captain Mephisto
2008-08-05 04:54:11 UTC
whether or not you get a linear relationship when analyzing data depends on the data. it may be linear in log-log or it may not be. I am saying that log-log graphs do not produce linear models it is the data when analyzed in log-log that produces the linear relationship. if you have a set of data and the best fit is linear in log-log space then I would guess that maybe a correlation coefficient would demonstrate that the linear fit is best.
?
2016-05-25 09:29:57 UTC
Plot t on the horizontal axis and Log A on the vertical and you will get a straight line with gradient - 0.02 and intercept Log 60
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