Eight different medical students took blood pressure measurements of the same pa
ID: 3322678 • Letter: E
Question
Eight different medical students took blood pressure measurements of the same patient and the results are listed below. The regression equation is y = 36.633486+0.941297x and the standard error of the estimate is 3.5831.
Assume that the necessary conditions of normality and variance are met, and answer parts a and b.
systolic (x)
140
130
137
136
124
130
124
134
diastolic (y)
92
90
93
92
83
83
75
92
a. Find the predicted diastolic reading given that the systolic reading is 137. -----------
(Round to three decimal places as needed.)
b. Find a 95% prediction interval estimate of the diastolic reading given that the systolic reading is 137.
-------< y <-------
(Round to one decimal place as needed.)
systolic (x)
140
130
137
136
124
130
124
134
diastolic (y)
92
90
93
92
83
83
75
92
Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: diastolic (y)
Independent Variable: systolic (x)
diastolic (y) = -36.633486 + 0.94129658 systolic (x)
Sample size: 8
R (correlation coefficient) = 0.85906305
R-sq = 0.73798933
Estimate of error standard deviation: 3.5830885
Parameter estimates:
Analysis of variance table for regression model:
Predicted values:
Hence,
a) Predicted diastolic reading = 92.324
b) 95% prediction interval:
82.6 < y < 102.1
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -36.633486 30.222448 0 6 -1.2121284 0.271 Slope 0.94129658 0.22897355 0 6 4.1109403 0.0063Related Questions
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