Solution-Suggest a different model and estimate

Suggest a different model and estimate

Assignment Help Basic Statistics

Reference no: EM13867248

1. Data points (x₁, y₁ ), (x₂,y₂),.......,(x_n,y_n) 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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Suggest a different model and estimate

Reference no: EM13867248

Reference no: EM13867248

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