A study, described in the paper Prediction of De-

Chapter 0, Problem 5.57

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A study, described in the paper Prediction of De- fibrillation Success from a Single Defibrillation Threshold Measurement (Circulation [1988]: 11441149) investigated the relationship between defibrillation success and the energy of the defibrillation shock (expressed as a multiple of the defibrillation threshold) and presented the following data:Energy of Shock Success (%)0.5 33.31.0 58.31.5 81.82.0 96.72.5 100.0a. Construct a scatterplot of y success and x energyof shock. Does the relationship appear to be linear ornonlinear?b. Fit a least-squares line to the given data, and constructa residual plot. Does the residual plot support your conclusionin Part (a)? Explain.c. Consider transforming the data by leaving y unchangedand using either or . Which of thesetransformations would you recommend? Justify yourchoice by appealing to appropriate graphical displays.d. Using the transformation you recommended in Part (c),find the equation of the least-squares line that describesthe relationship between y and the transformed x.e. What would you predict success to be when the energyof shock is 1.75 times the threshold level? When it is 0.8times the threshold level?

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