Question

In: Statistics and Probability

The blood pressure measurements of a single patient were taken by twelve different medical students and...

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

alphaαequals=0.050.05.

Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic​ measurements?

systolic​ (x)

137137

133133

139139

120120

126126

121121

128128

128128

129129

143143

143143

138138

diastolic​ (y)

9595

9393

101101

8585

8989

8080

8181

8484

8080

9595

105105

9797

What are the null and alternative​ hypotheses?

Solutions

Expert Solution

below is scatter plot:

null hypothesis: Ho:               ρ = 0
Alternate Hypothesis: Ha: ρ ≠ 0
correlation coefficient r= Sxy/(√Sxx*Syy) = 0.851
test stat t= r*(√(n-2)/(1-r2))= 5.127
P value    = 0.0004

reject Ho and conclude that there is a linear correlation between systolic measurements and diastolic​ measurements

orchestra answered 1 year ago
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