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Table 3 Result for the estimates of missing values by linear spline interpolation and linear regression estimation: In case of 4 sequentially missing values

From: Missing data management and statistical measurement of socio-economic status: application of big data

Year 2000 2001 2002 2003 2004 2005 2006
Y(t)_Actual 41.18 36.69 35.50 38.25 40.05 47.21 48.81
Linear spline interpolation 41.18 42.38 39.11 37.82 40.19 39.12 45.45
Linear regression Estimate 41.18 47.63 42.67 39.76 38.60 37.75 38.65
Linear spline interpolation error 0.00 − 5.69 − 3.61 0.43 − 0.14 8.09 3.36
Linear regression error 0.00 − 10.94 − 7.17 − 1.51 1.45 9.45 10.16
Year 2007 2008 2009 2010 2011 2012 2013
Y(t)_Actual 47.07 47.97 35.37 38.44 38.79 36.89 33.22
Linear spline interpolation 46.81 45.03 45.02 42.07 39.12 36.17 33.22
Linear regression Estimate 39.35 40.01 42.17 42.30 42.44 42.58 33.22
Linear spline interpolation error 0.26 2.94 − 9.65 − 3.63 − 0.33 0.72 0.00
Linear regression error 7.72 7.96 − 6.79 − 3.86 − 3.66 − 5.69 0.00