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Think of the inequalities as equations in the form of y=Mx+b. Notice how choices C and D match the line shown in the graph if they are seen as linear functions. Now look at the inequality. Since the shaded region is below the line, y must be less than what is input. The correct answer must be choice D.
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Answer:
The correct option is b. A logarithmic regression function.
Step-by-step explanation:
Given:
Q= λK^β1L^β2M^β3e^μ ………………………. (1)
Equation (1) can be transformed into a logarithmic regression function by taking natural log of both sides as follows:
lnQi = lnλ + β1lnKi + β2lnLi + β3lnMi + μInei ……………….. (2)
Where i = 0, 1, 2….n observations.
Let lnλ = β0 and let μIne = εi and then substituting them into equation (2), we have:
lnQi = β0 + β1lnKi + β2lnLi + β3lnMi + εi ......................(3)
Equation (3) is the logarithmic regression function to estimate the model.
Therefore, the correct option is b. A logarithmic regression function.
Answer:
L = 9.91 decibels.
Step-by-step explanation:
The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.
i.e L

L = 
Where k is the constant of proportionality.
When d = 14 feet and L = 85 dB, then;
k = L x 
= 85 x 
= 16660
k = 16660
L = 
Thus, when d = 41 feet, then;
L = 
= 
= 9.91077
L = 9.91 dB
The loudness is 9.91 decibels.