However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is weight loss. Which tool would be more appropriate?    2-Sample Mean (Matched Pairs) 2-Sample Proportion 1-Sample Proportion 2-Sample Mean (Independent Samples) 1-Sample Mean   Explain what the correlation DOES show in this example, in terms of weights of individuals.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 72 individual that have been using their program for 18 months. For each individual person, the company records the individual's weight when they started the program 18 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (183, 157) would be for a specific person and it would indicate that the individual started the program weighing 183 pounds and currently weighs 157 pounds. In other words, they lost 26 pounds.

When the company performed a regression analysis, they found a correlation coefficient of r = 0.831. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is weight loss. Which tool would be more appropriate? 

 

  • 2-Sample Mean (Matched Pairs)
  • 2-Sample Proportion
  • 1-Sample Proportion
  • 2-Sample Mean (Independent Samples)
  • 1-Sample Mean

 

Explain what the correlation DOES show in this example, in terms of weights of individuals. 

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