KEY TERMS

Question

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DIY

In the DIY of Chapter 13, you calculated the correlation between foot size and height. Now, take that same correlation coefficient and generate the regression equation to predict height from foot size. When you have arrived at the equation, use it to calculate Y′ for the students on whom the equation was based. For each of the cases, calculate residual scores. Do they sum to zero? Now, find the standard deviation of the residual scores. Then, use Equation 14.4 to calculate the standard error of the estimate. Is that the same value you calculated for the standard deviation?

Want more fun? Select 10 new cases and use the regression equation to calculate Y′ scores for them. Will the regression equation be as accurate for them as it was for the original group? Investigate this by calculating residual scores and finding their standard deviation. Is it larger or smaller than the first standard deviation? Why?