City Guilds Model Questions Vol1 2017 Engineering Question 1

Practice practical question 1 from the 2017 City Guilds Model Questions Vol1 Engineering examination. This question covers Least squares regression, Modulus of elasticity, Data analysis .

City Guilds Model Questions Vol1 2017 Engineering Practical
Topics: Least squares regression Modulus of elasticity Data analysis
Question 1 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2017 • ENGINEERING • practical

A steel rod of length 2.00 m and cross‑sectional area 1.5 × 10⁻⁴ m² is subjected to axial loads. The following data were recorded using a dial gauge: | Load (kN) | Extension (mm) | |-----------|----------------| | 10 | 0.45 | | 20 | 0.92 | | 30 | 1.38 | | 40 | 1.85 | | 50 | 2.31 | Using the method of least squares, determine: a) The mean load and the mean extension. b) The slope of the best‑fit straight line (extension versus load) and write the equation of the line. c) The modulus of elasticity (E) of the steel rod. Comment briefly on the linearity of the data.

Question Parts

( a )
Calculate the mean load (in N) and the mean extension (in m).
( b )
Determine the slope (Δextension/Δload) of the regression line using the least‑squares formula and write the line equation in the form y = mx + c.
( c )
Calculate the modulus of elasticity E (in Pa) and state whether the data support a linear relationship.

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About This Question

This is City Guilds Model Questions Vol1 2017 Engineering Question 1. It is one of the practical questions from the 2017 City Guilds Model Questions Vol1 Engineering examination.

The question covers Least squares regression, Modulus of elasticity, Data analysis .

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