Eight different medical students took blood pressure measurements of the same pa
ID: 3322830 • Letter: E
Question
Eight different medical students took blood pressure measurements of the same patient and the results are listed below. Use the regression equation to answer parts (a)-(e).
systolic
140
135
136
137
125
125
125
130
diastolic
84
92
99
97
80
95
80
81
Regression equation: 14.924680+0.558977x
(a) Find the explained variation.
(Round to four decimal places as needed.)
(b) Find the unexplained variation.
(Round to four decimal places as needed.)
(c) Find the total variation.
(Round to four decimal places as needed.)
(d) Determine the value of the coefficient of determination.
r squared (r2) = ----- (Round to four decimal places as needed.)
(e) Find the standard error of estimate se = --------
(Round to four decimal places as needed.
systolic
140
135
136
137
125
125
125
130
diastolic
84
92
99
97
80
95
80
81
Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: diastolic (y)
Independent Variable: systolic (x)
diastolic (y) = 14.92468 + 0.55897679 systolic (x)
Sample size: 8
R (correlation coefficient) = 0.42428742
R-sq = 0.18001982
Estimate of error standard deviation: 7.9114993
Parameter estimates:
Analysis of variance table for regression model:
Hence,
a) Explained variation = 82.4491
b) Unexplained variation = 375.5509
c) Total variation = 458
d) r^2 = 0.1800
e) Stanard error = 7.9115
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 14.92468 64.166902 0 6 0.23259156 0.8238 Slope 0.55897679 0.48703444 0 6 1.1477151 0.2948Related Questions
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