IQ Score and Income. Display 10.28 is a partial listing of the National Longitudinal Study of Youth (NLSY79) subset ) with annual incomes in 2005 (in U.S. dollars, as recorded in a 2006 interview) and scores on the Word Knowledge, Paragraph Comprehension, Arithmetic Reasoning, and Mathematics Knowledge portions of the Armed Forces Vocational Aptitude Battery (ASVAB) of tests taken in 1981. The AFQT is the Armed Forces Qualifying Test percentile, which is based on a linear combination of these four components and which is sometimes used as a general intelligence test score. A previous exercise had to do with the possible dependence of 2005 income on AFQT score. An interesting question is whether there might be some better linear combination of the four components than AFQT for predicting income. Investigate this by seeing whether the component scores are useful predictors of Income2006 in addition to AFQT. Also see whether AFQT is a useful predictor in addition to the four test scores. Which test scores seem to be the most important predictors of 2006 income? (Answer with a single p-value conclusion.)
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