Spline Bottles

Thaddeus Tarpey; John Holcomb

doi:10.1080/00031305.2000.10474525

Spline Bottles

Thaddeus Tarpey
, John Holcomb

Mathematics and Statistics

Wright State University
Youngstown State University

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

2 Scopus citations

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. © 2000 Taylor & Francis Group, LLC.

Original language	English
Pages (from-to)	129-135
Number of pages	7
Journal	American Statistician
Volume	54
Issue number	2
DOIs	https://doi.org/10.1080/00031305.2000.10474525
State	Published - Jan 1 2000

Keywords

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

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10.1080/00031305.2000.10474525

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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. {\textcopyright} 2000 Taylor \& Francis Group, LLC.",

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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. © 2000 Taylor & Francis Group, LLC.

KW - Cubic splines

KW - Leave-one-out residuals

KW - PRESS statistic

KW - Partial t statistics

KW - Polynomial spline models

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JO - American Statistician

JF - American Statistician

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ER -

Spline Bottles

Abstract

Keywords

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