Use the Regression Feature of a Graphing Utility to Find $y = a + b \ln x$

question 19

Multiple Choice

Use the regression feature of a graphing utility to find a logarithmic model $y = a + b \ln x$ for the data.
$( 1,3 ) , ( 2,4 ) , ( 3,4.5 ) , ( 4,5 ) , ( 5,5.1 ) , ( 6,5.2 ) , ( 7,5.5 )$

• A) \(y = 3.030 + 1.470 \ln x\)
• B) \(y = 3.022 + 1.758 \ln x\)
• C) \(y = 3.115 + 0.842 \ln x\)
• D) \(y = 3.083 + 1.257 \ln x\)
• E) \(y = 3.167 + 0.555 \ln x\)

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Definitions:

Hydrogen Bond

A feeble attachment formed between two molecules due to the electrostatic pull between a proton in one molecule and an atom with a high affinity for electrons in the other.

Covalent Bond

A covalent bond is a chemical bond formed when two atoms share one or more pairs of electrons, strongly binding them together in a molecule.

Polysaccharides

Large molecules composed of long chains of monosaccharide units bonded together, serving various functions such as storage and structural roles in plants and animals.

Triacylglycerols

Lipids formed by three fatty acids linked to a glycerol molecule; a main form of energy storage in animals.