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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
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
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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
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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