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Statistical Analysis and Interpretation of Regression and Correlation in Medical Data

This analysis focuses on the use of regression and correlation in interpreting medical data, exploring statistical methods and their applications.

Ethan Wilson
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Statistical Analysis and Interpretation of Regression and Correlation inMedical DataWeek 4Assignment1.For each correlation coefficient below, calculate what proportion of variance isshared by the two correlated variables:a.r= 0.25Answer= 0.252= 0.0625b.r= 0.33Answer= 0.332= 0.1089c.r= 0.90Answer= 0.902= 0.81d.r= 0.14Answer= 0.142= 0.01962.For each coefficient of determination below, calculate the value of the correlationcoefficient:a.r2= 0.54=> Correlation coefficient =√0.54= 0.7348b.r2= 0.13=> Correlation coefficient =√0.13= 0.3606c.r2= 0.29=> Correlation coefficient =√0.29= 0.5385d.r2= 0.07=> Correlation coefficient =√0.07= 0.26463.Suppose a researcher regressed surgical patients’ length of stay (dependentvariable) in the hospital on a scale of functional ability measured 24 hours aftersurgery. Given the following, solve for the value of the intercept constant andwrite out the full regression equation:Mean length of stay = 6.5days; mean score on scale = 33; slope =-0.10The formula for intercept term is,,Intercept = mean of dependent variable–slope* mean of independent variableThus,Intercept = 6.5–(-0.1)*33 = 9.8.

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Statistics

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