For a physical exam to qualify for company-provided insurance, 14 employees had their blood pressure measured. Their systolic and diastolic BP are given here:

SBP                                  DBP
140.....................................90
208...................................114
140.....................................90
164...................................104
142.....................................88
124.....................................82

120.....................................80
142.....................................72
160.....................................90
142.....................................98
225...................................125
140.....................................90
220...................................114
150.....................................85

A regression, found with technology, reports an R² of 81.3%.

a) Make a scatterplot of the data. Is it appropriate to interpret correlation?

b) State the null and alternative hypotheses about the correlation.

c) Calculate the test statistic.

d) Perform the test at α = 0.01 and state your conclusion.