AnswersEAP-Algebra Functions and Data Analysis BRegression AnalysisQuestion 2
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Regression Analysis

Question 2 • EAP-Algebra Functions and Data Analysis B

When running multiple machines in a factory, the total sound power in decibels (dB) can be estimated using the regression equation y = 119.06 + 10logx, where x represents the number of machines.What is the best estimate for the total sound power when 5 machines are running in the factory?

Answer
A
121 dB
B
126 dB
C
135 dB
D
169 dB

Explanation

Substitute 5 for x in the equation: y = 119.06 + 10log(5). Using the common logarithm, log(5) is about 0.699, so y ≈ 119.06 + 6.99 = 126.05 dB. The best estimate is 126 dB.

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