Project ForgeEngineering Mathematics
Numerical Methods
GATE 2016
Medium
The model y=mx² is fit to data: (x,y)=(1,2),(√2,5),(√3,8). Using linear regression (through the origin, u=x²), the value of m, rounded to 2 decimal places, is
2.57(± 0.05 accepted)
Explanation
With u=x²=1,2,3: m=Σ(uᵢyᵢ)/Σ(uᵢ²)=(1×2+2×5+3×8)/(1+4+9)=36/14=2.57.
Source: GATE CH 2016 (2016)
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