how smart are you?
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How Smart Are You?. Research On Which Factors Make People Intelligent. Peng Zhang Yuanchen Wang Maricar Apuya Lars Hult Christopher Mongelli Kexin Wang. How Smart Are You?. Introduction: People always want to know if they are smart or not. - PowerPoint PPT PresentationTRANSCRIPT
Research On Which Factors Make People Inte l l igent
How Smart Are You?
Peng ZhangYuanchen WangMaricar Apuya
Lars HultChristopher Mongelli
Kexin Wang
How Smart Are You?
Introduction:
People always want to know if they are smart or not. There has always been controversy about the
determinants of a person’s intelligence level. In this case study we will study if gender, height,
weight, and brain size can be correlated with a person’s intelligence as measured by IQ.
How Smart Are You?
Procedure: Collecting Data Exploratory Analysis Running OLS Regression for All Variables Analyzing the Significant Variables Taking Out Insignificant Variables Rerunning New Regression Sequence Locating Endogenous Variables Conducting White’s Test for Heteroskedacity Analyzing Relationship between Significant Variables
and Explained Variables Conclusion
How Smart Are You?
Collecting Data
Data Reference: Willerman, L., Schultz, R., Rutledge, J. N., and Bigler, E.
(1991), "In Vivo Brain Size and Intelligence," Intelligence, 15, 223-228.
http://lib.stat.cmu.edu/DASL/Datafiles/Brainsize.html
How Smart Are You?
Collecting Data Dependent Variable:
FSIQ: Full Scale IQ scores based on the four Wechsler (1981) subtests
Independent Variables: Gender: Male or Female VIQ: Verbal IQ scores PIQ: Performance IQ scores Weight: body weight in pounds Height: height in inches MRI Count: total pixel Count from the 18 MRI scans
How Smart Are You?
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Histogram
FSIQ
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Bimodal Distribution
Exploratory Data Analysis
How Smart Are You?
Histogram
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VIQ
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How Smart Are You?
Histogram
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VIQ
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How Smart Are You?
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MRI_Count
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Exploratory Data Analysis
How Smart Are You?
Running OLS Regression: All Variables
How Smart Are You?
Running OLS Regression: Drop Variable “Weight”
How Smart Are You?
Running OLS Regression: Drop Variable “Gender”
How Smart Are You?
Running OLS Regression: Drop Variable “Height”
How Smart Are You?
FSIQ = -1.239046537e-05*MRI_COUNT + 0.5467193408*PIQ + 0.5698886823*VIQ
Running OLS Regression: Drop Constant “C”
How Smart Are You?
Set VIQ as Dependent Variable
How Smart Are You?
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FSIQ
VIQ
Verbal IQ Scores Regressed Against Full Scale IQ Scores
How Smart Are You?
Set PIQ as Dependent Variable
How Smart Are You?
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FSIQ
PIQ
Performance IQ Scores Regressed Against Full Scale IQ Scores
How Smart Are You?
Conducting White’s Test for Heteroskedacity
Results: F-statistic is low (0.450243) The Dataset is thus Homoskedastic
How Smart Are You?
Analyzing Relationships between Significant Variables and Explained
Variables Through Graphs
How Smart Are You?
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PIQ
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Full Scale IQ Scores Regressed Against Performance IQ Scores
How Smart Are You?
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VIQ
FSIQ
Full Scale IQ Scores Regressed Against Verbal IQ Scores
How Smart Are You?
Conclusion
A person’s intelligence level does not rely on height, weight, or gender
It is, however, dependent on a person’s brain size (MIR_COUNT)
Verbal IQ Scores (VIQ), Performance IQ Scores (VIQ), and Full Scale IQ Scores (VIQ) are all endogenous variables.
References
Willerman, L., Schultz, R., Rutledge, J. N., and Bigler, E. (1991), "In Vivo Brain Size and Intelligence," Intelligence, 15, 223-228. http://lib.stat.cmu.edu/DASL/Datafiles/Brainsize.html