Consider only Buying US$ and Selling HK$ for gold only. Draw a 95% confidence ellipse for the mean of these two variables (in transformed scale) and plot the sample mean vector in it. Also, add the major and minor axes in the plot.

BUYING PRICE US$ BUYING PRICE HK$ SELLING PRICE US$ SELLING PRICE HK$ MATERIAL 1700 7000 1800 8000 gold 1715 7125 1900 8123 gold 1899 9000 2000 9000 gold 1900 10000 2000 9500 gold 2000 10000 2500 10100 gold 2078.3 11287.5 2490 10617.7 silver 2156.8 12175 2640 11175.4 silver 2235.3 13062.5 2790 11733.1 silver 2313.8 13950 2940 12290.8 silver 2392.3 14837.5 3090 12848.5 silver 2470.8 15725 3240 13406.2 silver BUYING PRICE US$ BUYING PRICE HK$ SELLING PRICE US$ SELLING PRICE HK$ MATERIAL 1700 7000 1800 8000 gold 1715 7125 1900 8123 gold 1899 9000 2000 9000 gold 1900 10000 2000 9500 gold 2000 10000 2500 10100 gold 2078.3 11287.5 2490 10617.7 silver 2156.8 12175 2640 11175.4 silver 2235.3 13062.5 2790 11733.1 silver 2313.8 13950 2940 12290.8 silver 2392.3 14837.5 3090 12848.5 silver 2470.8 15725 3240 13406.2 silver