In what follows use any of the following tests: Regression, multiple regression, one-sided t-test or two-sided...

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In what follows use any of the following tests: Regression, multiple regression, one-sided t-test or two-sided...

In what follows use any of the following tests: Regression, multiple regression, one-sided t-test or two-sided t-test. All conclusions should be based on 5% P-value threshold.

Choose the best fitting answer.

Open Brains data.

13. Task A: Perform two-sided t-test comparing the IQ and brain volume. What is the P-value?

a. 2.30863E-19
b. 1.15432E-19
c. 0.001164071
d. 0.790616477

14. Task B: Perform regression where X-axis is the Volume and Y-axis is the IQ. What is the P-value related to the slope?

a. 2.30863E-19
b. 1.15432E-19
c. 0.001164071
d. 0.790616477

15. Do these tests make sense?

a. Only t-test makes sense in this setting.
b. Only regression makes sense in this setting.
c. Both tests make sense in this setting.
d. Neither of the two tests make sense.

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

math Statistics-And-Probability

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Answer 1

Answer #1

13. Task A: Perform two-sided t-test comparing the IQ and brain volume. What is the P-value?

a. 2.30863E-19

14. Task B: Perform regression where X-axis is the Volume and Y-axis is the IQ. What is the P-value related to the slope?

d. 0.790616477

15. Do these tests make sense?

c. Both tests make sense in this setting

IQ	TBV
96	1079
88	1104
85	1439
97	1029
124	1160
101	1173
93	1067
94	1347
114	1100
113	1204
96	1005
87	1035
101	1281
103	1051
127	1034
89	963
87	1027
103	1272
96	1079
126	1070

	r²	0.004
	r	-0.063
	Std. Error	13.546
	n	20
	k	1
	Dep. Var.	IQ

ANOVA table
Source	SS	df	MS	F	p-value
Regression	13.3255	1	13.3255	0.07	.7906
Residual	3,302.674	18	183.4819
Total	3,316.000	19


Regression output				confidence interval
variables	coefficients	std. error	t (df=18)	p-value	95% lower	95% upper
Intercept	108.547
TBV	-0.0067	0.0249	-0.269	.7906	-0.0590	0.0456

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Answer 2

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