13.2 – Weight Loss and Correlation. In a test of the Weight Watchers weight loss

Question

13.2 – Weight Loss and Correlation. In a test of the Weight Watchers weight loss program, weights of 40 subjects are recorded before and after the program. Assume that the before/after weights result in r = 0.876. Is there sufficient evidence to support a claim of a linear correlation between the before/after weights? Does the value of r indicate that the program is effective in reducing weight? Why or why not? Use Table A-6 in the file “Formulas and Tables” and assume a 0.05 significance level to answer this question.

Table A-6 Critical Values of the Pearson Correlation Coefficient 811 917 10 12 13 15 514 16 18 19 561 35 312 50 361 100 NOTE: To test H =0againstm: -0, reject Ho if the absolute value of r is greater than the critical value in the table

Explanation / Answer

Since r = 0.876, this implies, there is positive linear correlation between the before after weights. that is as the value of before weight increases the value of after weight also increases. and as the value of before weight decreases the value of after weight also decreases.

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