Spline Bottles

Thaddeus Tarpey; John P Holcomb

Spline Bottles

Wright State University

Research output: Contribution to journal › Article › peer-review

Abstract

The relationship between the volume of a liquid in a bottle as a function of the height of the liquid is used to illustrate polynomial regression and the fitting of spline models. A polynomial regression exercise is provided where students attempt to determine the shape of a bottle using only the height and volume data from the bottle. The height and volume data for bottles are easy to obtain and provide an interesting data-collecting activity for introducing spline models in a regression course.

Original language	American English
Journal	The American Statistician
Volume	54
State	Published - May 1 2000

Keywords

Cubic splines; Leave-one-out residuals; Partial t statistics; Polynomial spline models; PRESS statistic

Disciplines

Statistical Models

Access to Document

http://www.jstor.org/stable/view/2686031

Cite this

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title = "Spline Bottles",

abstract = " The relationship between the volume of a liquid in a bottle as a function of the height of the liquid is used to illustrate polynomial regression and the fitting of spline models. A polynomial regression exercise is provided where students attempt to determine the shape of a bottle using only the height and volume data from the bottle. The height and volume data for bottles are easy to obtain and provide an interesting data-collecting activity for introducing spline models in a regression course.",

keywords = "Cubic splines; Leave-one-out residuals; Partial t statistics; Polynomial spline models; PRESS statistic",

author = "Thaddeus Tarpey and Holcomb, \{John P\}",

note = "Tarpey, T., \& Holcomb, J. (2000). Spline bottles. The American Statistician, 54(2), pp. 129-135.",

year = "2000",

month = may,

day = "1",

language = "American English",

volume = "54",

journal = "The American Statistician",

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TY - JOUR

T1 - Spline Bottles

AU - Tarpey, Thaddeus

AU - Holcomb, John P

N1 - Tarpey, T., & Holcomb, J. (2000). Spline bottles. The American Statistician, 54(2), pp. 129-135.

PY - 2000/5/1

Y1 - 2000/5/1

N2 - The relationship between the volume of a liquid in a bottle as a function of the height of the liquid is used to illustrate polynomial regression and the fitting of spline models. A polynomial regression exercise is provided where students attempt to determine the shape of a bottle using only the height and volume data from the bottle. The height and volume data for bottles are easy to obtain and provide an interesting data-collecting activity for introducing spline models in a regression course.

AB - The relationship between the volume of a liquid in a bottle as a function of the height of the liquid is used to illustrate polynomial regression and the fitting of spline models. A polynomial regression exercise is provided where students attempt to determine the shape of a bottle using only the height and volume data from the bottle. The height and volume data for bottles are easy to obtain and provide an interesting data-collecting activity for introducing spline models in a regression course.

KW - Cubic splines; Leave-one-out residuals; Partial t statistics; Polynomial spline models; PRESS statistic

UR - https://engagedscholarship.csuohio.edu/scimath_facpub/18

UR - http://www.jstor.org/stable/view/2686031

M3 - Article

VL - 54

JO - The American Statistician

JF - The American Statistician

ER -

Spline Bottles

Abstract

Keywords

Disciplines

Access to Document

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Cite this