Recorded in the table below are the blood pressure measurements(in millimeters) for a sample of 12 adults. Does there appear to bea linear relationship between the diastolic and systolic bloodpressures? At the 5% significance level, test the claim thatsystolic blood pressure and diastolic blood pressure have a linearrelationship.
Systolic | Diastolic |
107 | 71 |
110 | 74 |
133 | 91 |
115 | 83 |
118 | 88 |
134 | 87 |
123 | 77 |
154 | 94 |
119 | 69 |
130 | 76 |
108 | 69 |
112 | 75 |
Data Table: Blood Pressure 7
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 inanswer.
r = __________
What percent of the variation of absences are explained by themodel? Round to nearest hundredth percent (i.e. 65.31%).
R2=____________
What is the equation for the regression line? Use 2 decimal placesin 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 thecorrelation coefficient and slope of the regression line are bothstatistically different than zero (p_____ 0.05).
(Use “have†or “lack†for the first blank and “<†or “>†forthe second blank.)
