The following data pertain to cosmic ray doses measured at various altitudes. Data in image 1 Fit an exponential curve Use the result from part A to estimate the mean dose at a 3000-foot unit. Change the equation obtained in part A to the form (image 2), then use the result to rework part B. A) Fit a Gompertz curve of the shape (image 2) ∑Xi∑Xi=16980 ∑Yi∑Yi=304 ∑Xi2∑Xi2=72743400 ∑ln(Yi)∑ln(Yi)=26.00903 ∑XiYi∑XiYi=951560 ∑Xi2Yi∑Xi2Yi=4339343800 ∑Yiln(Yi)∑Yiln(Yi)=1163.43 ∑XiYiln(Yi)∑XiYiln(Yi)=3853036 1.) yˆ=3.340942514×e0.000155307×x 2) At X=3000, The estimated value of the mean dose at a 3000-foot unit is 5.323722. 3) yˆ=a×e−cx Y=2.096634 SOLVE A)Fit a Gompertz curve of the shape
The following data pertain to cosmic ray doses measured at various altitudes. Data in image 1 Fit an exponential curve Use the result from part A to estimate the mean dose at a 3000-foot unit. Change the equation obtained in part A to the form (image 2), then use the result to rework part B. A) Fit a Gompertz curve of the shape (image 2) ∑Xi∑Xi=16980 ∑Yi∑Yi=304 ∑Xi2∑Xi2=72743400 ∑ln(Yi)∑ln(Yi)=26.00903 ∑XiYi∑XiYi=951560 ∑Xi2Yi∑Xi2Yi=4339343800 ∑Yiln(Yi)∑Yiln(Yi)=1163.43 ∑XiYiln(Yi)∑XiYiln(Yi)=3853036 1.) yˆ=3.340942514×e0.000155307×x 2) At X=3000, The estimated value of the mean dose at a 3000-foot unit is 5.323722. 3) yˆ=a×e−cx Y=2.096634 SOLVE A)Fit a Gompertz curve of the shape
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 65E
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The following data pertain to cosmic ray doses measured at various altitudes.
Data in image 1
- Fit an exponential curve
- Use the result from part A to estimate the mean dose at a 3000-foot unit.
- Change the equation obtained in part A to the form (image 2), then use the result to rework part B.
A) Fit a Gompertz curve of the shape (image 2)
∑Xi∑Xi=16980 ∑Yi∑Yi=304 ∑Xi2∑Xi2=72743400 ∑ln(Yi)∑ln(Yi)=26.00903
∑XiYi∑XiYi=951560 ∑Xi2Yi∑Xi2Yi=4339343800 ∑Yiln(Yi)∑Yiln(Yi)=1163.43
∑XiYiln(Yi)∑XiYiln(Yi)=3853036
1.) yˆ=3.340942514×e0.000155307×x
2) At X=3000,
The estimated value of the mean dose at a 3000-foot unit is 5.323722.
3) yˆ=a×e−cx
Y=2.096634
SOLVE
A)Fit a Gompertz curve of the shape
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