PRINCIPAL COMPONENT ANALYSIS: For a river Basin, the mean monthly rainfall, air temperature, precipitable water, pressure, geo-potential height at 925 mb and wind speed at 925 mb are presented for the year 1971 in the following table: Month Precipitation Air Precipitable Pressure (mb) Geo-potential Wind (mm) Temperature water (kg/m2) height (m) speed (C) (m/s) - 9.51 20.1 18.65 962.88 788.11 33.98 N 15.42 22.61 17.81 960.73 770.48 27.96 3 8.72 26.52 14.9 961.25 778.71 22.81 4 29.55 31.5 24.61 955.72 731.13 17:91 36.77 33.25 29.84 953.51 712.47 12.12 6 375.43 26.94 50.06 950.38 678.67 11.82 7 331.02 24.52 52.71 950.7 681.07 13.80 8 312.48 23.84 50.57 952.33 695.3 13.32 9 103.19 23.9 44.11 955.3 722.38 9.26 10 104.47 22.43 38.7 959.04 755.85 2.21 11 0.54 20.06 15.81 964.97 806.14 22.69 12 0.00 19.11 11.15 964 797.28 23.47 Calculate the principal components for the data set. How many principal components are enough for explaining 95% of total variance of the data set? [Marks 8]