The effect of a single point on correlation and slope
By augmenting a bivariate data set with one point, the correlation coefficient and/or the slope of the regression line can be changed to any prescribed values. For the target value of the correlation coefficient or the slope, the coordinates of the new point are found as a function of certain statis...
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290001107 |
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| _version_ | 1832549345776369664 |
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| author | David L. Farnsworth |
| author_facet | David L. Farnsworth |
| author_sort | David L. Farnsworth |
| collection | DOAJ |
| description | By augmenting a bivariate data set with one point, the correlation coefficient and/or the slope of the regression line can be changed to any prescribed values. For the target value of the correlation coefficient or the slope, the coordinates of the new point are found as a function of certain statistics of the original data. The location of this new point with respect to the original data is investigated. |
| format | Article |
| id | doaj-art-f0c42c107c7145829ee612e8ac582a0e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f0c42c107c7145829ee612e8ac582a0e2025-02-03T06:11:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113479980510.1155/S0161171290001107The effect of a single point on correlation and slopeDavid L. Farnsworth0Department of Mathematics, Rochester Institute of Technology, Rochester 14623, New York, USABy augmenting a bivariate data set with one point, the correlation coefficient and/or the slope of the regression line can be changed to any prescribed values. For the target value of the correlation coefficient or the slope, the coordinates of the new point are found as a function of certain statistics of the original data. The location of this new point with respect to the original data is investigated.http://dx.doi.org/10.1155/S0161171290001107correlation coefficientdeletion techniqueinfluence of dataleast squares lineregression diagnosticsample influence curve. |
| spellingShingle | David L. Farnsworth The effect of a single point on correlation and slope International Journal of Mathematics and Mathematical Sciences correlation coefficient deletion technique influence of data least squares line regression diagnostic sample influence curve. |
| title | The effect of a single point on correlation and slope |
| title_full | The effect of a single point on correlation and slope |
| title_fullStr | The effect of a single point on correlation and slope |
| title_full_unstemmed | The effect of a single point on correlation and slope |
| title_short | The effect of a single point on correlation and slope |
| title_sort | effect of a single point on correlation and slope |
| topic | correlation coefficient deletion technique influence of data least squares line regression diagnostic sample influence curve. |
| url | http://dx.doi.org/10.1155/S0161171290001107 |
| work_keys_str_mv | AT davidlfarnsworth theeffectofasinglepointoncorrelationandslope AT davidlfarnsworth effectofasinglepointoncorrelationandslope |