Find the Least-Squares Regression Line and Use the Line to Make

question 120

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-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. What would be the predicted pressure if the age was 60 ? Round the predicted pressure to the nearest whole number.
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|}\text { Age, } \mathrm{x} & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \\\hline \text { Pressure, } \mathrm{y} & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152\end{array}$

• A) \(\hat { y } = 1.488 x + 60.46 ; 150 \mathrm {~mm}\)
• B) \(\hat {y} = 60.46 x - 1.488 ; 3626 \mathrm {~mm}\)
• C) \(\hat {y} = 1.448 \mathrm { x } - 60.46 ; 29 \mathrm {~mm}\)
• D) \(\hat {y} = 60.46 x + 1.488 ; 3629 \mathrm {~mm}\)

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Definitions:

Electrons

Subatomic particles with a negative charge, orbiting the nucleus of atoms and playing a key role in chemical reactions and electricity.

Proton Acceptor

A chemical entity that receives protons (hydrogen ions) in a chemical reaction, often measured in the context of acid-base chemistry.

Covalent Bond

The chemical bond involving shared pairs of electrons; may be single, double, or triple (with one, two, or three shared pairs of electrons, respectively). Compare with ionic bond and hydrogen bond.

OH− Concentration

A measure of the number of hydroxide ions in a solution, influencing its acidity or basicity.