The Data Below Are Ages and Systolic Blood Pressures (Measured

question 74

Multiple Choice

The data below are ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Find the equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } \text { Age, } \mathrm { x } & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \\\hline \text { Pressure, } \mathrm { y } & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152\end{array}$$

• A) \(\hat { y }\) = 1.488x + 60.461
• B) \(\hat { y }\) = 60.461x - 1.488
• C) \(\hat { y }\) = 1.448x - 60.461
• D) \(\hat { \mathrm { y } }\) = 60.461x + 1.488

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Definitions:

Change-of-Base Formula

A mathematical formula used to convert a logarithm of one base to a logarithm of another base.

Properties of Logarithms

The rules that govern the operations of logarithms, such as the product, quotient, and power rules.

Logarithm

The exponent that a base, typically 10 or e, needs to be elevated to in order to generate a specific number.

Graph

A visual representation of data, functions, or equations, typically plotted with an x and y axis.