In: Statistics and Probability
In what follows use any of the following tests/procedures: Regression, multiple regression, confidence intervals, one sided T-test or two sided T-test. All the procedures should be done with 5% P-value or 95% confidence interval.Some answers are approximated, choose the most appropriate answer.Open Brains data. SETUP: Scientists speculate that the heavier body the larger the human brain (Volume). Given the data your job is to confirm or disprove this assertion.
I. What test/procedure did you perform? (6.66 points)
II. Statistical interpretation? (6.66 points)
III. Conclusion? (6.66 points)
CCMIDSA: Corpus Collasum Surface Area (cm2) FIQ: Full-Scale IQ HC: Head Circumference (cm) ORDER: Birth Order PAIR: Pair ID (Genotype) SEX: Sex (1=Male 2=Female) TOTSA: Total Surface Area (cm2) TOTVOL: Total Brain Volume (cm3) WEIGHT: Body Weight (kg) 8.42 96 57.2 1 6 1 1806.31 1079 61.236 7.44 88 57.2 1 7 1 2018.92 1104 79.38 6.84 85 57.2 1 8 1 2154.67 1439 99.792 6.48 97 57.2 1 9 1 1767.56 1029 81.648 6.43 124 58.5 1 10 1 1971.63 1160 72.576 7.62 101 57.2 2 6 1 1689.6 1173 61.236 6.03 93 57.2 2 7 1 2136.37 1067 83.916 6.59 94 55.8 2 8 1 1966.81 1347 97.524 7.52 114 56.5 2 9 1 1827.92 1100 88.452 7.67 113 59.2 2 10 1 1773.83 1204 79.38 6.08 96 54.7 1 1 2 1913.88 1005 57.607 5.73 87 53 1 2 2 1902.36 1035 64.184 6.22 101 57.8 1 3 2 2264.25 1281 63.958 5.8 103 56.6 1 4 2 1866.99 1051 133.358 7.99 127 53.1 1 5 2 1743.04 1034 62.143 7.99 89 54.2 2 1 2 1684.89 963 58.968 8.76 87 52.9 2 2 2 1860.24 1027 58.514 6.32 103 56.9 2 3 2 2216.4 1272 61.69 6.32 96 55.3 2 4 2 1850.64 1079 107.503 7.6 126 54.8 2 5 2 1709.3 1070 83.009
Here I think the Regression test would be more appropriate. Because scientists speculate that the heavier body the larger the human brain (Volume) that means if the body is heavy then it will have a large brain. So a positive correlation may be implemented here. So we conduct regression.
I. c. Regression.
II. a. Since P-value is small we are confident that the slope is not zero.
III. b. No, we cannot confirm the assertion.
Because the R-squared value is very small, nearly 0.