Details

Snapshot 1: a linear fit to curvilinear data

Snapshot 2: a linear fit to curvilinear data with a log transformation on the response variable

Snapshot 3: a linear fit to curvilinear data with plot of versus power parameter for the Box–Cox transformation on the response variable

Data sources: lead [1], lichen [2], birth weight and AIDS [3], kittiwakes [4], Mazda prices [5], CPK enzyme [6]. For more information on linear statistical models including transformations and the coefficient of determination, see [7].

References

[1] J. L. Devore, Probability and Statistics for Engineering and the Sciences, Pacific Grove, CA: Brooks/Cole, 1991.

[2] J. L. Devore and K. N. Berk, Modern Mathematical Statistics with Applications, Belmont, CA: Thomson Brooks/Cole, 2007.

[3] A. J. Dobson, An Introduction to Generalized Linear Models, 2nd ed., Boca Raton: Chapman & Hall/CRC, 2002.

[5] G. K. Smyth. "Kittiwake Colonies." Australasian Data and Story Library (OzDASL). 2011. www.statsci.org/data/general/kittiwak.html.

[6] G. K. Smyth. "Age and Price of Mazda Cars." Australasian Data and Story Library (OzDASL). 2011. www.statsci.org/data/oz/mazdas.html.

[7] G. K. Smyth. "Bood CPK in Cross-Country Skiers." Australasian Data and Story Library (OzDASL). 2011. www.statsci.org/data/general/bloodcpk.txt.

[4] M. Kutner, C. Nachtsheim, J. Neter, and W. Li, Applied Linear Statistical Models, 5th ed., Boston: McGraw-Hill, 2005.