4. Recent studies have suggested that a significant negative correlation exists between subjects' cerebral glucose metabolic rate (CGMR) and their scores on a standardized test of intelligence (IQ). That is, subjects who metabolize less glucose obtain higher IQ test scores. In an attempt to replicate this negative correlation, a researcher measures the CGMR of 8 young adult subjects as they work on an IQ test. The following data were obtained, where CGMRs are expressed as Z scores: Subjects 1 2 3 4 5 6 7 8 CGMR .70 1.50 -1.01 -.14 .13 .85 -1.47 -.56 IQ 114 101 133 128 111 92 122 107 a) Has this study successfully replicated the significant negative correlation between CGMR and IQ (α = .05)? b) Regardless of your answer in part 'a', use the given sample data to generate a 99% prediction interval for the IQ score of a subject with a CGMR Z score of +.44. c) Among older adults, the slope for predicting IQ scores from CGMR is -12.4. Is the slope in the present sample of young adults significantly different from this (α = .05)?

4. Recent studies have suggested that a significant negative correlation exists between subjects' cerebral glucose metabolic rate (CGMR) and their scores on a standardized test of intelligence (IQ). That is, subjects who metabolize less glucose obtain higher IQ test scores. In an attempt to replicate this negative correlation, a researcher measures the CGMR of 8 young adult subjects as they work on an IQ test. The following data were obtained, where CGMRs are expressed as Z scores: Subjects 1 2 3 4 5 6 7 8 CGMR .70 1.50 -1.01 -.14 .13 .85 -1.47 -.56 IQ 114 101 133 128 111 92 122 107 a) Has this study successfully replicated the significant negative correlation between CGMR and IQ (α = .05)? b) Regardless of your answer in part 'a', use the given sample data to generate a 99% prediction interval for the IQ score of a subject with a CGMR Z score of +.44. c) Among older adults, the slope for predicting IQ scores from CGMR is -12.4. Is the slope in the present sample of young adults significantly different from this (α = .05)?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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