Systolic Diastolic 113 77 105 66 118 88 157 103 134 87 154 94 130 76 115 83 119 69 116 70 133 91 123 77

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.

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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.)