In 1937, the Stanford-Binet IQ test was restandardized with two forms (L and M). A large number

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In 1937, the Stanford-Binet IQ test was restandardized with two forms (L and M). A large number of subjects took both tests. The results can be summarized as follows: Form L average 100, SD 15 Form M average 100, SD 15, r 0.80

(a) True or false, and explain: the regression line for predicting the score on form M from the score on form L has an r.m.s. error of about 9 points.

(b) Suppose the scatter diagram looks like (i) below. If someone scores 130 on form L, the regression method predicts 124 for the score on form M. True or false, and explain: this prediction is likely to be off by 9 points or so.

(c) Repeat, if the scatter diagram looks like (ii).

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Statistics

ISBN: 9780393522105

4th Edition

Authors: David Freedman, Robert Pisani, Roger Purves

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