Identify independent variable as quantitative or qualitative

Reference no: EM131415419

Signal-to-noise ratios of seismic waves. Chinese scientists have developed a method of boosting the signal-to-noise ratio of a seismic wave (Chinese Journal of Geophysics, Vol. 49, 2006).

Suppose an exploration seismologist wants to develop a model to estimate the average signal-to-noise ratio of an earthquake's seismic wave, y, as a function of two independent variables:

x₁ = Frequency (cycles per second)

x₂ = Amplitude of the wavelet

(a) Identify the independent variables as quantitative or qualitative.

(b) Write the first-order model for E(y).

(c) Write a model for E(y) that contains all first order and interaction terms. Sketch typical response curves showing E(y), the mean signal-to-noise ratio, versus x₂, the amplitude of the wavelet, for different values of x₁ (assume that x₁ and x₂ interact).

(d) Write the complete second-order model for E(y).

Reference no: EM131415419

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