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 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
116	70
154	94
134	87
107	71
119	69
133	91
115	83
113	77
112	75
110	74
118	88
157	103

Data Table: Blood Pressure 4

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.)

Answer 1

Solution: We can use excel data anlaysis tool to find the linear relationship between the two variables. The excel output is given below:

What is the correlation coefficient?

Answer:

What percent of the variation of absences are explained by the model?

Answer: or %

What is the equation for the regression line?

Answer: Diastolic

State the p-value.

Answer:

Conclusion:
We have 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)