Question: Is there a linear relationship between a person's diastolic and systolic blood pressures? To study this, researchers gathered a simple random sample of blood pressure

Is there a linear relationship between a person's diastolic and systolic blood pressures? To study this, researchers gathered a simple random sample of blood pressure measurements (in millimeters) from 12 healthy patients.

Data can be found here:

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At the 5% significance level, test the claim that systolic blood pressure and diastolic blood pressure have a linear relationship.

Hypotheses: H0: Slope and Correlation are both zero H1: Slope and Correlation are both not zero Results: What is the correlation coefficient? Use 4 decimal places in answer. r = What percent of the variation of absences are explained by the model? Round to nearest hundredth percent (i.e. 65.31%). R2= What is the equation for the regression line? Use 2 decimal places in answers. Diastolic = (Systolic) + State the p-value. Round answer to nearest hundredth percent (i.e. 2.55%). p-value = Conclusion: We sufficient evidence to support the claim that the correlation coefficient and slope of the regression line are both statistically different than zero (p 0.05). (Use "have" or "lack" for the first blank and "<" or ">" for the second blank.)

Systolic Diastolic
119 69
134 87
112 75
110 74
107 71
154 94
133 91
130 76
157 103
123 77
105 66
116 70

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