The Ages and Systolic Blood Pressures (Measured in Millimeters of Mercury)of

question 6

Essay

The ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly
selected adults are given below. Can you conclude that there is a correlation between age $$\begin{array}{l}\text { and blood pressure? Use } \alpha = .05 \text {. }\\\begin{array} { l | c c c c c c c c c } \text { Age } & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \\\hline \text { Pressure } & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152\end{array}\end{array}$$

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Definitions:

Parabola

A symmetric, U-shaped geometric plane curve that can represent the trajectory of objects under the influence of gravity or the graph of a quadratic function.

Focus

A point of concentration or attention.

Vertex

A point where two or more curves, lines, or edges meet; in geometry, it is often used to refer to the corner point of a polygon or angle.

Parabola

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side; its general equation is \(y = ax^2 + bx + c\).