Knee Injuries Athletes and others sufferingthe same type of knee injury often require

Chapter 12, Problem 65

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Knee Injuries Athletes and others sufferingthe same type of knee injury often require anterior andposterior ligament reconstruction. In order to determinethe proper length of bone grafts, experimentswere done using three imaging techniques, and theseresults were compared to the actual length required. Asummary of the results of a simple linear regressionanalysis for each of these three methods is given in thefollowing table.15Coefficient ofImaging Technique Determination, r 2 Intercept Slope p-valueRadiographs 0.80 3.75 1.031 0.0001Standard MRI 0.43 20.29 0.497 0.0113-Dimensional MRI 0.65 1.80 0.977 0.0001a. What can you say about the significance of each ofthe three regression analyses?b. How would you rank the effectiveness of the threeregression analyses? What is the basis of your decision?c. How do the values of r 2 and the p-values comparein determining the best predictor of actual graftlengths of ligament required?