The data below obtained from the experiment: 1.5 1.8 2.4 2.7 3.2 3.6 f(x) | 0.7555 0.6206 0.5052 0.4812 0.4498 | 0.4337 This data can be fitted to the curve y = where C and D are C + Dx constants. a. Show that the curve above can be written as 1 D+ - b. Hence, by using the least squares linearization process, determine the value of C and D. Start your calculation with n S= ΣΥ-Y(X)? i=0 where S is the total squares error. c. Estimate the value of f(2.5) based on the results obtained in part (b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
icon
Related questions
Question
2.
The data below obtained from the experiment:
1.5
1.8
2.4
2.7
3.2
3.6
f(x) | 0.7555 | 0.6206 | 0.5052 0.4812 0.4498 | 0.4337
This data can be fitted to the curve y =
where C and D are
C + Dx
constants.
a. Show that the curve above can be written as
D+-.
b. Hence, by using the least squares linearization process, determine
the value of C and D. Start your calculation with
S= ΣΥ- Y(X)>
i=0
where S is the total squares error.
c. Estimate the value of f (2.5) based on the results obtained in part
(b).
Transcribed Image Text:2. The data below obtained from the experiment: 1.5 1.8 2.4 2.7 3.2 3.6 f(x) | 0.7555 | 0.6206 | 0.5052 0.4812 0.4498 | 0.4337 This data can be fitted to the curve y = where C and D are C + Dx constants. a. Show that the curve above can be written as D+-. b. Hence, by using the least squares linearization process, determine the value of C and D. Start your calculation with S= ΣΥ- Y(X)> i=0 where S is the total squares error. c. Estimate the value of f (2.5) based on the results obtained in part (b).
Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning