The HDI summarizes the progress in health, education and economics of a country with a number. GDPPC tries to summarize, wealth produced by a country in a single number. We have data for 172 countries.

IMPORTANT: USE R FOR ALL CALCULATIONS AND USE R MARKDOWN TO WRITE THE SOLUTIONS

i - Build a cloud of points from the GDPPC (y) against the HDI (x) and superimpose a smooth curve.

ii - should we use pearson's or spearman's correlation to write the intensity link between the GDPPC and the HDI ? Why ?

iii - Describe the association between the GDPPC and the HDI. (Include the correlation in the description)

Here are the data:

Country, HDI (x) , GDPPC (y)

Norway,0.965,38454 Iceland,0.96,33051 Australia,0.957,30331 Ireland,0.956,38827 Sweden,0.951,29541 Canada,0.95,31263 Japan,0.949,29251 United States,0.948,39676 Switzerland,0.947,33040 Netherlands,0.947,31789 Finland,0.947,29951 Luxembourg,0.945,69961 Belgium,0.945,31096 Austria,0.944,32276 Denmark,0.943,31914 France,0.942,29300 Italy,0.94,28180 United Kingdom,0.94,30821 Spain,0.938,25047 New Zealand,0.936,23413 Germany,0.932,28303 "Hong Kong, China (SAR)",0.927,30822 Israel,0.927,24382 Greece,0.921,22205 Singapore,0.916,28077 "Korea, Rep. of",0.912,20499 Slovenia,0.91,20939 Portugal,0.904,19629 Cyprus,0.903,22805 Czech Republic,0.885,19408 Barbados,0.879,15720 Malta,0.875,18879 Kuwait,0.871,19384 Brunei Darussalam,0.871,19210 Hungary,0.869,16814 Argentina,0.863,13298 Poland,0.862,12974 Chile,0.859,10874 Bahrain,0.859,20758 Estonia,0.858,14555 Lithuania,0.857,13107 Slovakia,0.856,14623 Uruguay,0.851,9421 Croatia,0.846,12191 Latvia,0.845,11653 Qatar,0.844,19844 Seychelles,0.842,16652 Costa Rica,0.841,9481 United Arab Emirates,0.839,24056 Saint Kitts and Nevis,0.825,12702 Bahamas,0.825,17843 Mexico,0.821,9803 Bulgaria,0.816,8078 Tonga,0.815,7870 Oman,0.81,15259 Trinidad and Tobago,0.809,12182 Panama,0.809,7278 Antigua and Barbuda,0.808,12586 Romania,0.805,8480 Malaysia,0.805,10276 Bosnia and Herzegovina,0.8,7032 Mauritius,0.8,12027 Libyan Arab Jamahiriya,0.798,7570 Russian Federation,0.797,9902 "Macedonia, TFYR",0.796,6610 Belarus,0.794,6970 Dominica,0.793,5643 Brazil,0.792,8195 Colombia,0.79,7256 Saint Lucia,0.79,6324 Venezuela,0.784,6043 Albania,0.784,4978 Thailand,0.784,8090 Samoa (Western),0.778,5613 Saudi Arabia,0.777,13825 Ukraine,0.774,6394 Lebanon,0.774,5837 Kazakhstan,0.774,7440 Armenia,0.768,4101 China,0.768,5896 Peru,0.767,5678 Ecuador,0.765,3963 Philippines,0.763,4614 Grenada,0.762,8021 Jordan,0.76,4688 Tunisia,0.76,7768 Saint Vincent and the Grenadines,0.759,6398 Fiji,0.758,6066 Paraguay,0.757,4813 Turkey,0.757,7753 Sri Lanka,0.755,4390 Dominican Republic,0.751,7449 Belize,0.751,6747 "Iran, Islamic Rep. of",0.746,7525 Georgia,0.743,2844 Azerbaijan,0.736,4153 El Salvador,0.729,5041 Algeria,0.728,6603 Guyana,0.725,4439 Jamaica,0.724,4163 Turkmenistan,0.724,4584 Cape Verde,0.722,5727 Syrian Arab Republic,0.716,3610 Indonesia,0.711,3609 Viet Nam,0.709,2745 Kyrgyzstan,0.705,1935 Egypt,0.702,4211 Nicaragua,0.698,3634 Uzbekistan,0.696,1869 "Moldova, Rep. of",0.694,1729 Bolivia,0.692,2720 Mongolia,0.691,2056 Honduras,0.683,2876 Guatemala,0.673,4313 Vanuatu,0.67,3051 Equatorial Guinea,0.653,20510 South Africa,0.653,11192 Tajikistan,0.652,1202 Morocco,0.64,4309 Gabon,0.633,6623 Namibia,0.626,7418 India,0.611,3139 Sao Tom and Principe,0.607,1231 Solomon Islands,0.592,1814 Cambodia,0.583,2423 Myanmar,0.581,1027 Botswana,0.57,9945 Comoros,0.556,1943 Lao Peoples Dem. Rep.,0.553,1954 Pakistan,0.539,2225 Bhutan,0.538,1969 Ghana,0.532,2240 Bangladesh,0.53,1870 Nepal,0.527,1490 Papua New Guinea,0.523,2543 Congo,0.52,978 Sudan,0.516,1949 Madagascar,0.509,857 Cameroon,0.506,2174 Uganda,0.502,1478 Swaziland,0.5,5638 Togo,0.495,1536 Djibouti,0.494,1993 Lesotho,0.494,2619 Yemen,0.492,879 Zimbabwe,0.491,2065 Kenya,0.491,1140 Mauritania,0.486,1940 Haiti,0.482,1892 Gambia,0.479,1991 Senegal,0.46,1713 Eritrea,0.454,977 Rwanda,0.45,1263 Nigeria,0.448,1154 Guinea,0.445,2180 Angola,0.439,2180 "Tanzania, U. Rep. of",0.43,674 Benin,0.428,1091 Cote dIvoire,0.421,1551 Zambia,0.407,943 Malawi,0.4,646 Congo Dem. Rep.of the,0.391,705 Mozambique,0.39,1237 Burundi,0.384,677 Ethiopia,0.371,756 Chad,0.368,2090 Central African Republic,0.353,1094 Guinea-Bissau,0.349,722 Burkina Faso,0.342,1169 Mali,0.338,998 Sierra Leone,0.335,561 Niger,0.311,779