Queries about whether the occurrence of high blood pressure increases significantly with age are rising.

To study on the above issue, a health panel recorded 20 patients’ blood pressure measurements (mmHg)

with their respective ages in the following table:

Patient Age Blood Pressure (mmHg)

1 47 150 2 45 138 3 47 145 4 65 162 5 46 142 6 67 170 7 42 124 8 67 158 9 56 154 10 64 162 11 56 150 12 59 140 13 34 110 14 42 128 15 48 130 16 45 135 17 44 160 18 53 158 19 63 144 20 69 175

a. Produce a scatter plot for the age and blood pressure (mmHg). Determine the relationship between the two variables.

b. Calculate the correlation coefficient value for the data provided in the table.

c. By using the correlation coefficient value in part

b, conduct a hypothesis analysis to determine whether there is a positive linear correlation between the age and blood pressure (mmHg) at a 10% significance level.