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 and 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 |
|
154 |
94 |
|
113 |
77 |
|
119 |
69 |
|
115 |
83 |
|
116 |
70 |
|
134 |
87 |
|
110 |
74 |
|
133 |
91 |
|
105 |
66 |
|
130 |
76 |
|
112 |
75 |
|
118 |
88 |
Table for Excel:
|
Systolic |
Diastolic |
|
|
154 |
94 |
|
|
113 |
77 |
|
|
119 |
69 |
|
|
115 |
83 |
|
|
116 |
70 |
|
|
134 |
87 |
|
|
110 |
74 |
|
|
133 |
91 |
|
|
105 |
66 |
|
|
130 |
76 |
|
|
112 |
75 |
|
|
118 |
88 |
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.)
