Eight different medical students took blood pressure measurements of the same pa

Question

Eight different medical students took blood pressure measurements of the same patient and the results are listed below. The regression equation is y = -87.977229+1.329988x and the standard error of the estimate is 3.7105. Assume that the necessary conditions of normality and variance are met, and answer parts a and b.

systolic (x) 137 134 138 139 120 128 125 130

diastolic (y) 97 84 98 96 71 79 82 87 82    87

a. Find the predicted diastolic reading given that the systolic reading is 132.

-------- (Round to three decimal places as needed.)

b. Find a 95% prediction interval estimate of the diastolic reading given that the systolic reading is 132

------ < y<------ (Round to one decimal place as needed.)

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Diastolic (y)
Independent Variable: Systolic (x)
Diastolic (y) = -87.977229 + 1.3299884 Systolic (x)
Sample size: 8
R (correlation coefficient) = 0.93486785
R-sq = 0.8739779
Estimate of error standard deviation: 3.7105141

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

a) Predicted diastolic reading = 87.581

b) 95% prediction interval:

77.9 < y < 97.2

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -87.977229 27.118574 0 6 -3.2441687 0.0176 Slope 1.3299884 0.20617945 0 6 6.4506353 0.0007

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.