9
QuizMultiple Choice

Regression Analysis — Quiz

Question 9 • Algebra II

When running multiple machines in a factory, the total sound power in decibels (dB) can be estimated using the regression equation y is equal to 119 point 0 6 plus 10 log x , 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
135 dB
B
126 dB
C
169 dB
D
121 dB

Explanation

Substitute 5 for x in the equation: y = 119.06 + 10 log(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, choice B.

AI-written and checked against the verified answer.

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