Question

Recorded in the table below are the blood pressure measurements (in millimeters) for a sample of 12 adults. Does there appear to be a linear relationship between the diastolic ar systolic blood pressures? At the 5% significance level, test the claim that systolic blood pressure and diastolic blood pressure have a linear relationship. Systolic Diastolic 108 69 130 76 110 74 112 75 113 77 115 83 105 66 116 70 133 91 154 94 119 69 118 88 Data Table: Blood Pressure 3 Hypotheses Ho: Slope and Correlation are both zero Hy: Slope and Correlation are both not zero Results: What is the correlation coefficient? Use A decimal places in answer. r= What percent of the variation of absences are explained by the model? Round to nearest hundredth percent (1.6531%). R? What is the equation for the regression line? Use 2 decimal places in answers. Diastolic (Systolic)

Answer 1

r = 0.7500

R² = 56.25%

Diastolic = 0.51(Systolic) + 16.72

p-value = 0.50%

have, <

	r²	56.25%
	r	0.7500
	Std. Error	6.442
	n	12
	k	1
	Dep. Var.	Diastolic
ANOVA table
Source	SS	df	MS	F	p-value
Regression	533.6570	1	533.6570	12.86	.0050
Residual	415.0096	10	41.5010
Total	948.6667	11
Regression output				confidence interval
variables	coefficients	std. error	t (df=10)	p-value	95% lower
Intercept	16.72
Systolic	0.51	0.1423	3.586	0.50%	0.1932