The blood pressure measurements of a single patient were taken by twelve differe

Question

The blood pressure measurements of a single patient were taken by twelve different medical students and the results are listed below. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using .05. Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements? 135 93 141 100 126 82 140 103 139 95 95 ic (x) astolic (y) 80 82 84 92 84 What are the null and alternative hypotheses? H1 : =0 H:p>0 Construct a scatterplot. Choose the correct graph below. O c. A. 0 40 80 120 160 0 40 80 120 160 40 80 120 160 0 40 80 120 160

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -17.316579 + 0.81276798 x
Sample size: 12
R (correlation coefficient) = 0.85270235
R-sq = 0.7271013
Estimate of error standard deviation: 4.1650043

Parameter estimates:

Analysis of variance table for regression model:

Hence,

Hypotheses: Option D is correct.

Scatterplot: Option D is correct.

r = 0.853

t = 5.162

P - value = 0.000

is less; is

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -17.316579 20.793249 0 10 -0.83279817 0.4244 Slope 0.81276798 0.15745986 0 10 5.1617472 0.0004

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