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Simple Linear Regression

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TLDR
In this article, a linear regression technique is used to relate a measured response variable, Y, to a single predictor (explanatory) variable, X, by means of a straight line.
Abstract
One of the most widely used statistical techniques is simple linear regression. This technique is used to relate a measured response variable, Y, to a single measured predictor (explanatory) variable, X, by means of a straight line. It uses the principle of least squares to come up with values of the “best” slope and intercept for a straight line that approximates the relationship. By means of the example below we motivate the technique, indicate the rationale underlying the calculations and come up with the formulas for the “best” slope and intercept based on the data.

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Citations
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Noninvasive method for measuring local hemoglobin oxygen saturation in tissue using wide gap second derivative near-infrared spectroscopy.

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Spearman’s rank correlation coefficient

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Wear rate of highly cross-linked polyethylene in total hip arthroplasty. A randomized controlled trial.

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References
More filters
Journal ArticleDOI

Correlation Coefficients: Appropriate Use and Interpretation.

TL;DR: The aim of this tutorial is to guide researchers and clinicians in the appropriate use and interpretation of correlation coefficients.
Journal ArticleDOI

3D-QSAR in drug design--a review.

TL;DR: This review seeks to provide a bird's eye view of the different 3D-QSAR approaches employed within the current drug discovery community to construct predictive structure-activity relationships and discusses the limitations that are fundamental to these approaches, as well as those that might be overcome with the improved strategies.
Journal ArticleDOI

Noninvasive method for measuring local hemoglobin oxygen saturation in tissue using wide gap second derivative near-infrared spectroscopy.

TL;DR: Second derivative spectroscopy was used to reduce light scattering effects, chromophores with constant absorption, baseline/instrumentation drift, and movement artifacts, and a wide 40 nm wavelength gap used for calculating second derivative attenuation significantly improved sensitivity to oxyhemoglobin absorption.
Journal ArticleDOI

Spearman’s rank correlation coefficient

TL;DR: It was concluded that an increase in antidepressant prescribing may be a proxy marker for improved overall management of depression, and increased prescribing of selective serotonin reuptake inhibitors in general practice may have a quantifiable benefit on the mental health of the population.
Journal ArticleDOI

Wear rate of highly cross-linked polyethylene in total hip arthroplasty. A randomized controlled trial.

TL;DR: The steady-state femoral head penetration rate associated with this first-generation highly cross-linked poly methylene liner was significantly lower than that associated with a conventional polyethylene liner and long-term follow-up is required to demonstrate the clinical benefit of this new material.
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