Question

An article in the Journal of Clinical Endocrinology and Metabolism ["Simultaneous and Continuous 24-Hour Plasma and Cerebrospinal Fluid Leptin Measurements: Dissociation of Concentrations in Central and Peripheral Compartments" (2004, Vol. 89, pp. 258-265)] studied the demographics of patients with simultaneous and continuous 24-hour plasma and cerebrospinal fluid leptin measurements. The data follow: 8 7 6 4 3 2 Patient 1 23.29 35.24 17.27 25.97 20.39 20.78 BMI (kg/m Age (year) 20.59 29.02 19.92 33.3 47.0 52.1 30.1 28.2 32.9 40.6 34.6 45.5 Jadual 3: Demografi pesakit yang mengambil plasma serapan leptin cecair serebrospinal selama 24 jam secara berterusan Table 3: Demographics of patients with simultaneous and continuous 24-hour plasma and cerebrospinal fluid leptin measurements (a) Uji untuk kepentingan regresi menggunakan a 0.05 Test for significance of regression using a 0.05 (8 Markah/marks) (b) Anggarkan nilai P untuk ujian di bahagian (a) Estimate the P-value for the test in (a) (2 Markah/marks)

Answer 1

(first part) using BMI (y)as dependent variable and Age(x) as independent variable

BMI=13.8201+0.2558*Age

p-value of the regression is more than alpha=0.05, so model is not significantly explaining the variability in the dependent variable BMI

(second part) since p-value of the Age is more than alpha=0.05, so Age is not significantly related to BMI

following regression analysis information has been generated using ms-excel

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.381888
R Square	0.145839
Adjusted R Square	0.023816
Standard Error	5.539817
Observations	9
ANOVA
	df	SS	MS	F	Significance F
Regression	1	36.67934	36.67934	1.195173	0.310477
Residual	7	214.827	30.68957
Total	8	251.5064
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	13.82012	9.141346	1.511826	0.174335	-7.79572	35.43597	-7.79572	35.43597
Age	0.255849	0.234029	1.093239	0.310477	-0.29754	0.809239	-0.29754	0.809239