Question

In: Advanced Math

Given stream depth (x-values) and flow (y-values) in the table below: X Y 0.34 0.636 0.29...

Given stream depth (x-values) and flow (y-values) in the table below:

X Y
0.34 0.636
0.29 0.319
0.28 0.734
0.42 1.327
0.29 0.487
0.41 0.924
0.76 7.350
0.73 5.890
0.46 1.979
0.40 1.124

(a) Find the equation of the form: y = βo + β1x + β2x2that fits the data.

(b) Compare your answer in (a) to a loge transformation for both x and y.

(c) Compare your answers in (a) and (b) to a square root of y transformation.

(d) Specify the equation/ data transformation you would choose. Show all equations developed and R2 values. Provide the digital file for the software application used for this problem.

Solutions

Expert Solution

Answer:

a)

b)

c)

y = 1.2765x2 + 3.6184x + 1.2699
R² = 0.9416

Colby Messinger answered 11 months ago
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