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Suggest a different model and estimate

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Reference no: EM13867248

1. Data points (x1, y1 ), (x2,y2),.......,(xn,yn) is regressed to y = 1/(ax+b)2. The constants of the model a and b are solved by data linearization. Find the formulas for calculating a and b?

Hint: Take the inverse and square-root of both sides.

2. It is desired to obtain a functional relationship between the mass density Ρ of air and the altitude h above the sea level for the dynamic analysis of bodies moving within earth's atmosphere. Use the approximation Ρ = k1e-k2h to fit the data given below by regression analysis.

Find the constants k1 and k2. You are allowed to linearize the data.

Altitude (kilometers) Mass density (kg/m3)
0.32 1.15
0.64 1.1
1.28 1.05
1.6 0.95

3. Fit W = at2 + bt + c to the following data to find W(360)

t

0

2

4

6

18
W

7.5

11.25

14.3

16

26

The data given above is actually the weight (lbs) of a baby as a function of the age (months) of the baby. We expect that the weight of the baby to saturate as the baby reaches adulthood. Suggest a different model and estimate W(360).

Reference no: EM13867248

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