4. Knee Injuries Athletes and others with knee injuries often require ligament reconstruction. In order to determine the proper length of bone grafts, experiments were done using three imaging techniques, and these results were compared to the actual length required. A summary of the results of a simple linear regression analysis for each of these three methods is given in the following table

a. What can you say about the significance of each of the three regression analyses?

b. How would you rank the effectiveness of the three regression analyses? What is the basis of your decision?

c. How do the values of r2 and the p-values compare in determining the best predictor of actual graft lengths of ligament required?

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Imaging Coefficient of Determina- Technique tion, r Radiographs 0.80 Standard MRI 0.43 3-Dimensional 0.65 MRI Intercept Slope p-value -3.75 1.031 <0.0001 20.29 0.497 0.011 1.80 0.977 <0.0001