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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.

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Statistical Analysis and Interpretation of Regression and Correlation in Medical Data Week 4 Assignment 1. For each correlation coefficient below, calculate what proportion of variance is shared by the two correlated variables: a. r = 0. 25 Answer = 0.25 2 = 0.0625 b. r = 0.33 Answer = 0. 33 2 = 0.1089 c. r = 0.9 0 Answer = 0. 90 2 = 0. 81 d. r = 0.14 Answer = 0. 14 2 = 0.0196 2. For each coefficient of determination below, calculate the value of the correlation coefficient: a. r 2 = 0. 54 => Correlation coefficient = √ 0 . 54 = 0.7348 b. r 2 = 0.13 => Correlation coefficient = √ 0 . 13 = 0.3606 c. r 2 = 0.29 => Correlation coefficient = √ 0 . 29 = 0.5385 d. r 2 = 0.07 => Correlation coefficient = √ 0 . 07 = 0.2646 3. Suppose a researcher regressed surgical patients’ length of stay (dependent variable) in the hospital on a scale of functional ability measured 24 hours after surgery. Given the following, solve for the value of the intercept constant and write out the full regression equation: Mean length of stay = 6.5days; mean score on scale = 33; slope = - 0.10 The formula for intercept term is, , Intercept = mean of dependent variable – slope* mean of independent variable Thus , Intercept = 6.5 – ( - 0.1)*33 = 9.8 .
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