Example 2: Calculate the estimated height of the boy in the fourth position. position X 1 2 3 (x) Height in feet (y) y 3 4.5 Solution: x = 4; X₁ = 3; X₂ = 5; Y₁ = 5;Y2 = 6 (given) Using linear interpolation formula, Linear Interpolation (y) = y₁ + (x − x₁)- (y2 - Y1) (x2-x1) Put the values, (6-5) y = 5+ (4-3)- (5-3) y = 5+1(1/2) y= 5 +0.5 y = 5.5 Therefore, the height of the boy in the fourth position is 5.5 feet. LO 5 LO 5 6
Example 2: Calculate the estimated height of the boy in the fourth position. position X 1 2 3 (x) Height in feet (y) y 3 4.5 Solution: x = 4; X₁ = 3; X₂ = 5; Y₁ = 5;Y2 = 6 (given) Using linear interpolation formula, Linear Interpolation (y) = y₁ + (x − x₁)- (y2 - Y1) (x2-x1) Put the values, (6-5) y = 5+ (4-3)- (5-3) y = 5+1(1/2) y= 5 +0.5 y = 5.5 Therefore, the height of the boy in the fourth position is 5.5 feet. LO 5 LO 5 6
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
100%
Please write a code in MATLAB by using the LINEAR INTERPOLATION to solve the problem below. Thank you!
![Example 2: Calculate the estimated height of the boy in the fourth
position.
position
X
1
2
3
(x)
Height
in feet
(y)
y
3
4.5
Solution:
x=4 ; x₁ = 3; X₂ = 5; Y₁ = 5;Y2 = 6 (given)
Using linear interpolation formula,
Linear Interpolation(y) = y₁ + (x − x₁)-
-
(Y2 - Y1)
(x2-x1)
Put the values,
(6-5)
y = 5+ (4-3).
(5-3)
y = 5+1(1/2)
y= 5 +0.5
y = 5.5
Therefore, the height of the boy in the fourth position is 5.5 feet.
LO
5
LO
5
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b0e7fc8-716a-47b9-9016-acc907dd787c%2F997a655e-e659-45de-b3b7-60dbd0bbc4a2%2Ffjszwsh_processed.png&w=3840&q=75)
Transcribed Image Text:Example 2: Calculate the estimated height of the boy in the fourth
position.
position
X
1
2
3
(x)
Height
in feet
(y)
y
3
4.5
Solution:
x=4 ; x₁ = 3; X₂ = 5; Y₁ = 5;Y2 = 6 (given)
Using linear interpolation formula,
Linear Interpolation(y) = y₁ + (x − x₁)-
-
(Y2 - Y1)
(x2-x1)
Put the values,
(6-5)
y = 5+ (4-3).
(5-3)
y = 5+1(1/2)
y= 5 +0.5
y = 5.5
Therefore, the height of the boy in the fourth position is 5.5 feet.
LO
5
LO
5
6
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