?5 CRE Effectiveness of Diet. ?Listed below are weights (lb) of subjects before and after the Zone diet. (Data are based on results from “Comparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Risk Reduction, “ by Dansingeret al,? ?Journal of the American Medical Association, V? ol. 293, No. 1.) Use the data for Exercises. Diet Clinical Trial: Correlation? Use the before/after weights listed above. a.? Test for a correlation between the before and after weights. b.? If each subject were to weigh exactly the same after the diet as before, what would be the value of the linear correlation coefficient? c.? If all subjects were to lose 5% of their weight from the diet, what would be the value of the linear correlation coefficient found from the before/after weights? d.? What do the preceding results suggest about the suitability of correlation as a tool for testing the effectiveness of the diet?
Solution 5 CRE Step 1 : Given is weights and heights of the subjects before and after diet. The claim is that the diet is effective or not. Hypothesis H : There is no significance difference between the weight before and after the diet. 0 H : There is significance difference between the weight before and after the diet. 1 Following are the steps to analyze result from Stat Disk . Enter the dataset in stat disk Analisis correlation and regression . Choose level of significance evaluate The value of correlation r = 0.9647 The critical value is ± 0.7067, the correlation coefficient is not within the critical value and it is beyond the right tail region, so we can say that the variables are linearly correlated. The P-Value 0.000 is less than the level of significance 0.05. We have an evidence to support the claim that the weights of the subjects before diet and after diet are linearly correlated. Step 2 : Correlation of the subjects is equal to 1 when the subjects exactly weights the same before and after the zone diet. Following are the steps to analyze result from Stat Disk . Enter the dataset in stat disk Analisis correlation and regression . Choose level of significance evaluate