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

question 1

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:

Open/Closed Body Positions

Describes nonverbal cues in communication where "open" positions indicate receptiveness and "closed" positions may suggest defensiveness or disinterest.

Coalition

A temporary alliance or partnership between individuals, groups, or countries, particularly formed for specific goals or to address certain issues.

Legitimacy

The perception or belief that an action, entity, or governance structure has a rightful place within a moral, legal, or constructed framework.

Ambiguous

Something that can be understood or interpreted in more than one way; not having a single clear meaning.