11-41/446 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)] reported on a study of the demographics of simultaneous and continuous 24-hour plasma and cerebrospinal fluid leptin measurements. The data follow: y = BMI (kg/m²): 19.92, 20.59, 29.02, 20.78, 25.97, 20.39, 23.29, 17.27, 35.24 x = Age (yr): 45.5, 34.6, 40.6, 32.9, 28.2, 30.1, 52.1, 33.3, 47.0 11-41/446 y = BMI (kg/m2): 19.92, 20.59, 29.02, 20.78, 25.97, 20.39, 23.29, 17.27, 35.24 x Age (yr): 45.5, 34.6, 40.6, 32.9, 28.2, 30.1, 52.1,33.3, 47.0 (a) Test for significance of regression using a = 0.05. Find the P-value for this test. Can you conclude that the model specifies a useful linear relationship between these two variables? (b) Estimate o? and the standard deviation of B1.

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11-41/446 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)] reported on a study of the demographics of
simultaneous and continuous 24-hour plasma and
cerebrospinal fluid leptin measurements. The data follow:
y = BMI (kg/m2): 19.92, 20.59, 29.02, 20.78, 25.97, 20.39,
23.29, 17.27, 35.24
x = Age (yr): 45.5, 34.6, 40.6, 32.9, 28.2, 30.1, 52.1, 33.3,
47.0
11-41/446
y = BMI (kg/m?): 19.92, 20.59, 29.02, 20.78, 25.97, 20.39,
23.29, 17.27, 35.24
x = Age (yr): 45.5, 34.6, 40.6, 32.9, 28.2, 30.1, 52.1,33.3,
47.0
(a) Test for significance of regression using a = 0.05. Find
the P-value for this test. Can you conclude that the model
specifies a useful linear relationship between these two
variables?
(b) Estimate o? and the standard deviation of B.
Transcribed Image Text:11-41/446 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)] reported on a study of the demographics of simultaneous and continuous 24-hour plasma and cerebrospinal fluid leptin measurements. The data follow: y = BMI (kg/m2): 19.92, 20.59, 29.02, 20.78, 25.97, 20.39, 23.29, 17.27, 35.24 x = Age (yr): 45.5, 34.6, 40.6, 32.9, 28.2, 30.1, 52.1, 33.3, 47.0 11-41/446 y = BMI (kg/m?): 19.92, 20.59, 29.02, 20.78, 25.97, 20.39, 23.29, 17.27, 35.24 x = Age (yr): 45.5, 34.6, 40.6, 32.9, 28.2, 30.1, 52.1,33.3, 47.0 (a) Test for significance of regression using a = 0.05. Find the P-value for this test. Can you conclude that the model specifies a useful linear relationship between these two variables? (b) Estimate o? and the standard deviation of B.
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