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 = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements? 136 97 132 92 120 83 127 84 130 84 129 85 145 96 140 ystolic (x) iastolic (y) 124 89 122 81 140 103 139 95 What are the null and alternative hypotheses? H1:p>0 H1 : =0 Construct a scatterplot. Choose the correct graph below OA. o O o 80 4 40 0 40 80 120 160 0 40 80 120 160 0 40 80 120 160 0 40 80 120 160 The linear correlation coefficient r is (Round to three decimal places as needed.) The test statistict is (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between systolic measurements and diastolic measurements for a significance level of = 0.05

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Diastolic (y)
Independent Variable: Systolic (x)
Diastolic (y) = -12.99435 + 0.78531073 Systolic (x)
Sample size: 12
R (correlation coefficient) = 0.86270528
R-sq = 0.7442604
Estimate of error standard deviation: 3.8734209

Parameter estimates:

Analysis of variance table for regression model:

Hence,

Hypotheses: Option D is correct.

Scatterplot: Option D is correct.

r = 0.863

t = 5.395

P - value = 0.000

Less; is

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -12.99435 19.248019 0 10 -0.67510064 0.5149 Slope 0.78531073 0.14557207 0 10 5.3946524 0.0003

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