Data in both "myData.txt" and "myNuttyData.tx"

0 0.0 1 0.01745240643728351 2 0.03489949670250097 3 0.052335956242943835 4 0.0697564737441253 5 0.08715574274765817 6 0.10452846326765347 7 0.12186934340514748 8 0.13917310096006544 9 0.15643446504023087 10 0.17364817766693033 11 0.1908089953765448 12 0.20791169081775934 13 0.224951054343865 14 0.24192189559966773 15 0.25881904510252074 16 0.27563735581699916 17 0.29237170472273677 18 0.3090169943749474 19 0.3255681544571567 20 0.3420201433256687 21 0.35836794954530027 22 0.374606593415912 23 0.39073112848927377 24 0.4067366430758002 25 0.42261826174069944 26 0.4383711467890774 27 0.45399049973954675 28 0.4694715627858908 29 0.48480962024633706 30 0.49999999999999994 31 0.5150380749100542 32 0.5299192642332049 33 0.5446390350150271 34 0.5591929034707469 35 0.573576436351046 36 0.5877852522924731 37 0.6018150231520483 38 0.6156614753256583 39 0.6293203910498374 40 0.6427876096865393 41 0.6560590289905073 42 0.6691306063588582 43 0.6819983600624985 44 0.6946583704589973 45 0.7071067811865476 46 0.7193398003386512 47 0.7313537016191705 48 0.7431448254773942 49 0.754709580222772 50 0.766044443118978 51 0.7771459614569709 52 0.788010753606722 53 0.7986355100472928 54 0.8090169943749475 55 0.8191520442889918 56 0.8290375725550417 57 0.838670567945424 58 0.8480480961564261 59 0.8571673007021123 60 0.8660254037844386 61 0.8746197071393957 62 0.8829475928589269 63 0.8910065241883678 64 0.898794046299167 65 0.9063077870366499 66 0.9135454576426009 67 0.9205048534524404 68 0.9271838545667874 69 0.9335804264972017 70 0.9396926207859083 71 0.9455185755993167 72 0.9510565162951535 73 0.9563047559630354 74 0.9612616959383189 75 0.9659258262890683 76 0.9702957262759965 77 0.9743700647852352 78 0.9781476007338056 79 0.981627183447664 80 0.984807753012208 81 0.9876883405951378 82 0.9902680687415704 83 0.992546151641322 84 0.9945218953682733 85 0.9961946980917455 86 0.9975640502598242 87 0.9986295347545738 88 0.9993908270190958 89 0.9998476951563913 90 1.0 91 0.9998476951563913 92 0.9993908270190958 93 0.9986295347545738 94 0.9975640502598242 95 0.9961946980917455 96 0.9945218953682733 97 0.9925461516413221 98 0.9902680687415704 99 0.9876883405951378 100 0.984807753012208 101 0.981627183447664 102 0.9781476007338057 103 0.9743700647852352 104 0.9702957262759965 105 0.9659258262890683 106 0.9612616959383189 107 0.9563047559630355 108 0.9510565162951536 109 0.9455185755993168 110 0.9396926207859084 111 0.9335804264972017 112 0.9271838545667874 113 0.9205048534524403 114 0.9135454576426009 115 0.90630778703665 116 0.8987940462991669 117 0.8910065241883679 118 0.8829475928589269 119 0.8746197071393959 120 0.8660254037844387 121 0.8571673007021123 122 0.8480480961564261 123 0.838670567945424 124 0.8290375725550417 125 0.8191520442889917 126 0.8090169943749475 127 0.7986355100472927 128 0.788010753606722 129 0.777145961456971 130 0.766044443118978 131 0.7547095802227721 132 0.7431448254773942 133 0.7313537016191706 134 0.7193398003386511 135 0.7071067811865476 136 0.6946583704589971 137 0.6819983600624985 138 0.6691306063588585 139 0.6560590289905073 140 0.6427876096865395 141 0.6293203910498374 142 0.6156614753256584 143 0.6018150231520482 144 0.5877852522924732 145 0.5735764363510459 146 0.5591929034707469 147 0.5446390350150273 148 0.5299192642332049 149 0.5150380749100544 150 0.49999999999999994 151 0.48480962024633717 152 0.4694715627858907 153 0.45399049973954686 154 0.4383711467890773 155 0.4226182617406995 156 0.40673664307580043 157 0.39073112848927377 158 0.37460659341591224 159 0.3583679495453002 160 0.3420201433256689 161 0.3255681544571566 162 0.3090169943749475 163 0.2923717047227366 164 0.2756373558169992 165 0.258819045102521 166 0.24192189559966773 167 0.2249510543438652 168 0.20791169081775931 169 0.19080899537654497 170 0.17364817766693028 171 0.15643446504023098 172 0.13917310096006533 173 0.12186934340514755 174 0.10452846326765373 175 0.0871557427476582 176 0.06975647374412552 177 0.05233595624294381 178 0.03489949670250114 179 0.01745240643728344 180 1.2246467991473532e-16 181 -0.017452406437283637 182 -0.0348994967025009 183 -0.052335956242943564 184 -0.06975647374412527 185 -0.08715574274765794 186 -0.1045284632676535 187 -0.12186934340514731 188 -0.13917310096006552 189 -0.15643446504023073 190 -0.17364817766693047 191 -0.19080899537654472 192 -0.2079116908177595 193 -0.22495105434386498 194 -0.2419218955996675 195 -0.2588190451025208 196 -0.275637355816999 197 -0.29237170472273677 198 -0.3090169943749473 199 -0.32556815445715676 200 -0.34202014332566866 201 -0.35836794954530043 202 -0.374606593415912 203 -0.39073112848927355 204 -0.4067366430758002 205 -0.4226182617406993 206 -0.43837114678907746 207 -0.45399049973954664 208 -0.46947156278589086 209 -0.48480962024633695 210 -0.5000000000000001 211 -0.5150380749100542 212 -0.5299192642332048 213 -0.5446390350150271 214 -0.5591929034707467 215 -0.5735764363510462 216 -0.587785252292473 217 -0.6018150231520484 218 -0.6156614753256582 219 -0.6293203910498376 220 -0.6427876096865393 221 -0.656059028990507 222 -0.6691306063588582 223 -0.6819983600624984 224 -0.6946583704589973 225 -0.7071067811865475 226 -0.7193398003386512 227 -0.7313537016191705 228 -0.7431448254773944 229 -0.754709580222772 230 -0.7660444431189779 231 -0.7771459614569706 232 -0.7880107536067221 233 -0.7986355100472928 234 -0.8090169943749473 235 -0.8191520442889916 236 -0.8290375725550418 237 -0.838670567945424 238 -0.848048096156426 239 -0.8571673007021121 240 -0.8660254037844384 241 -0.8746197071393959 242 -0.882947592858927 243 -0.8910065241883678 244 -0.8987940462991668 245 -0.9063077870366502 246 -0.913545457642601 247 -0.9205048534524403 248 -0.9271838545667873 249 -0.9335804264972016 250 -0.9396926207859084 251 -0.9455185755993168 252 -0.9510565162951535 253 -0.9563047559630353 254 -0.961261695938319 255 -0.9659258262890683 256 -0.9702957262759965 257 -0.9743700647852351 258 -0.9781476007338056 259 -0.981627183447664 260 -0.984807753012208 261 -0.9876883405951377 262 -0.9902680687415703 263 -0.9925461516413221 264 -0.9945218953682734 265 -0.9961946980917455 266 -0.9975640502598242 267 -0.9986295347545738 268 -0.9993908270190958 269 -0.9998476951563913 270 -1.0 271 -0.9998476951563913 272 -0.9993908270190958 273 -0.9986295347545738 274 -0.9975640502598243 275 -0.9961946980917455 276 -0.9945218953682734 277 -0.992546151641322 278 -0.9902680687415704 279 -0.9876883405951378 280 -0.9848077530122081 281 -0.9816271834476639 282 -0.9781476007338056 283 -0.9743700647852352 284 -0.9702957262759966 285 -0.9659258262890684 286 -0.9612616959383188 287 -0.9563047559630354 288 -0.9510565162951536 289 -0.945518575599317 290 -0.9396926207859083 291 -0.9335804264972017 292 -0.9271838545667874 293 -0.9205048534524405 294 -0.9135454576426011 295 -0.9063077870366498 296 -0.898794046299167 297 -0.891006524188368 298 -0.8829475928589271 299 -0.8746197071393956 300 -0.8660254037844386 301 -0.8571673007021123 302 -0.8480480961564261 303 -0.8386705679454243 304 -0.8290375725550416 305 -0.8191520442889918 306 -0.8090169943749476 307 -0.798635510047293 308 -0.7880107536067218 309 -0.7771459614569708 310 -0.7660444431189781 311 -0.7547095802227722 312 -0.7431448254773946 313 -0.7313537016191703 314 -0.7193398003386511 315 -0.7071067811865477 316 -0.6946583704589976 317 -0.6819983600624983 318 -0.6691306063588581 319 -0.6560590289905074 320 -0.6427876096865396 321 -0.6293203910498378 322 -0.6156614753256582 323 -0.6018150231520483 324 -0.5877852522924734 325 -0.5735764363510465 326 -0.5591929034707466 327 -0.544639035015027 328 -0.529919264233205 329 -0.5150380749100545 330 -0.5000000000000004 331 -0.4848096202463369 332 -0.4694715627858908 333 -0.45399049973954697 334 -0.4383711467890778 335 -0.4226182617406992 336 -0.40673664307580015 337 -0.3907311284892739 338 -0.37460659341591235 339 -0.35836794954530077 340 -0.3420201433256686 341 -0.3255681544571567 342 -0.3090169943749477 343 -0.29237170472273716 344 -0.27563735581699894 345 -0.2588190451025207 346 -0.24192189559966787 347 -0.22495105434386534 348 -0.20791169081775987 349 -0.19080899537654467 350 -0.1736481776669304 351 -0.1564344650402311 352 -0.13917310096006588 353 -0.12186934340514723 354 -0.10452846326765342 355 -0.08715574274765832 356 -0.06975647374412564 357 -0.05233595624294437 358 -0.034899496702500823 359 -0.01745240643728356 

1.4 Exercises The purpose of these exercises is to get accustomed to using Python and the associated environments. Here are some links at which various Python resources are available: - https://replit.com/languages/python3 - https://www.anaconda.com/products/distribution - https://www.python.org/downloads/ 1. Write a program that writes the values of the equation y=1/2x2+7 to a file named "myNumbers.txt". Start the x values at 5 and go to 5 , increment by 0.1 2. Make sure that the numbers are in the file. Read them and print them out programmatically. 3. Using the plot library in python plot the numbers. 4. Using Python, read the data in the file "myData.txt". Find the values of the descriptive statistics for the y values of the data. Also, find the average point to point difference. To this, write functions for the following: a. getMean b. getVariance c. getStd d. getMedian e. getMode 5. Plot the data in a graph. 6. Do the same for the file "myNuttyData.txt