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.Preview Mode
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