Question 1: Use the data in file "d5". 1. Find the regression model (modell): Y = Bo + B1X1. 2. Plot the scatter plot for (modell) in R using the code "plot(x,y)" 3. Use the transformation Y and find the regression model (model2): Y3 = d + a1x1. 4. Plot the scatter plot for (model2). 5. Compare between scatter plot before and after transformation in terms of MSE. 6. Find a point estimate for Y when X = 10 by using (model2).3c65b0002c8138dca6a20dbf859aa3d5 x y 2.104777838 9.988795003 6.327725377 11.63383615 7.836814215 12.35593424 6.135845366 3.907053289 14.94575743 7.171761565 9.966661724 11.28350183 3.251605463 14.35126046 9.804022432 6.93496324 9.504070739 7.38623837 3.723545133 7.415373828 12.05879819 12.12657398 4.775091725 4.235456666 9.445016595 3.450535878 8.971482877 4.380512509 13.73368375 13.03508552 9.822352907 10.61813052 4.024215708 4.043797175 9.628435942 9.957869432 9.745151984 8.922880247 11.97391649 13.75362865 3.142533207 6.898625511 6.642560897 6.624712297 2.151003956 6.683574444 9.234504313 7.295529778 364.2957398 8715.434377 8111.783783 20431.54824 7077.219155 22532.0799 4640.130949 1719.962127 33991.2901 8623.60824 20464.71993 19480.18326 1406.861471 23796.37757 13967.17349 8543.762704 7880.365262 6729.85135 2295.458334 5979.038064 24156.96355 25146.65423 1673.283624 1485.768397 13975.12911 1801.277527 11561.28244 1222.464676 29309.55725 31582.06723 7642.56778 13613.51304 2557.966796 609.36906 13712.21527 12905.20848 13356.76212 11889.36074 19790.48332 32632.57838 914.0056868 3205.982284 4597.102346 4385.707731 1340.86377 6344.588172 5636.103811 5762.343824 Page 1 3c65b0002c8138dca6a20dbf859aa3d5 2.6935699 7.086307184 11.51365068 2.669638386 5.017176905 5.928924979 7.455468779 4.874334563 13.26535205 9.175271264 2.204298117 11.40334517 2.524213567 6.0072653 13.73925671 13.8637723 10.63042595 13.9730273 10.18841834 3.259472915 8.848793219 11.57100663 6.805519992 3.998083881 6.012424406 3.623244663 6.521221923 5.049905585 4.921336734 3.732834075 3.315992602 6.311413927 2.004307818 4.758592675 4.167325932 13.5021282 12.93886342 5.503068711 5.520696146 4.157462386 12.07699634 10.14451794 2.26930733 2.93699732 10.56554252 10.88305792 2.261235576 4.20318947 9.489750553 2387.196264 5715.69871 15678.71728 474.605692 5477.823698 2911.034532 7012.312972 2835.087644 28552.2573 5011.119301 722.6618461 14641.93016 303.4176052 6921.239796 25438.13691 32217.83235 16805.9514 43377.02969 18166.29473 197.712862 6634.237147 14792.70214 6997.731731 2749.100019 2090.327174 1647.326053 6464.507303 5438.156672 4402.016731 2252.41124 2544.747818 2637.249872 1013.469387 2612.534071 2055.372909 23707.55808 37805.87547 4345.748286 2299.779849 2178.746883 18905.74312 15208.87323 88.89067147 1180.022785 11722.54645 16637.206 455.8638687 840.1778221 12844.32967 Page 2 3c65b0002c8138dca6a20dbf859aa3d5 10.5933428 12.13423978 5.515590557 7.495003176 13.20542293 9.808476266 7.419320229 7.957435154 2.945922459 13.69398654 5.331478064 10.25169439 14.20255679 8.535936632 5.342158231 13.85601686 9.10034732 4.845767976 2.157396654 6.354945672 7.788093504 14.46170169 6.518929038 4.175257869 2.931624372 7.816340013 13.14963574 7.851588902 12.02777522 11.43101814 8.401562987 7.842897998 13.53804211 3.937347667 11.9876017 11.26336829 13.23159028 8.116213908 2.730657373 8.152689764 12.13153758 10.42871591 6.59853803 9.256893846 11.09045521 12.62023574 7.290809773 8.874605301 5.878579306 16308.78686 19615.34211 4949.701466 5169.548724 24509.74535 13398.26284 5741.679306 8560.464859 824.088963 39798.04749 4079.429995 16128.51499 40333.63078 4358.120175 1774.685284 24000.31958 7619.21354 3771.335993 438.2152204 3210.086346 8368.971843 33439.98405 2216.796711 2430.200648 452.9842816 8520.802425 28696.6917 7778.618173 21299.27276 13222.6841 13511.70964 6848.94597 25074.04721 1288.334552 18609.31818 22178.73037 20570.6881 4433.003478 228.7263404 14200.51387 31037.95063 16953.79482 5565.113867 10288.22131 18483.15013 27780.526 3452.067778 7774.453993 3213.808891 Page 3 3c65b0002c8138dca6a20dbf859aa3d5 14.75699268 14.77719931 7.919044827 7.111758396 2.102047847 8.210362465 11.54122911 9.074001933 6.81855505 10.82292675 10.73137398 4.584387531 7.27804923 13.62966453 7.531384254 14.66337535 14.0732968 10.68495622 10.58012936 9.998606799 7.461657365 10.21023104 3.244304124 13.60772082 6.508674439 3.843858489 10.84594451 5.407830237 7.405788618 11.33549203 8.283903783 6.903094842 7.117742165 10.02392822 13.38277584 8.829837597 7.375538329 7.441884965 12.62359003 4.449741928 5.216274011 11.77710536 8.792466938 4.361023081 11.27575567 11.41483781 14.61567865 10.60699419 6.662041665 31019.97641 33941.79391 8634.855003 5853.52401 411.7748615 4967.145764 20382.58647 8926.552002 3947.695644 13150.07503 14279.05952 1939.431482 5048.351165 26563.80074 7866.251655 39178.49413 31133.93273 17326.5815 14507.37644 13535.02855 8200.769647 20214.36407 887.5063707 30313.76796 3032.264835 1612.307011 16688.76458 5527.31264 3992.582518 17929.99109 10181.59007 11269.96581 6757.128358 16314.9278 30722.46995 8138.136673 6079.192827 9744.619999 22059.40705 2382.818627 2133.550674 22950.38908 12528.53488 2045.542329 15507.78747 19297.2769 40526.76092 18101.79519 3327.811489 Page 4 3c65b0002c8138dca6a20dbf859aa3d5 12.4309829 2.645624058 13.20583927 7.577956844 4.451920509 13.80486195 6.045882595 11.89030631 14.18818648 7.794624608 3.009461757 9.657200833 10.11912834 6.959453223 12.13252397 7.167727037 11.54210207 9.293289885 6.324985873 8.497635916 13.28171295 5.265886239 2.137881859 14.50511891 5.015908041 8.656915895 3.376438997 8.413703817 4.804550546 5.668165521 5.427464917 12.28989046 3.617143582 13.55393703 4.249814323 6.575665478 14.36686808 2.563522283 12.25677366 10.8817593 9.276373164 13.61674669 8.368423922 10.85618605 2.292251366 9.411754245 5.565843652 4.520906522 2.85911561 26998.57387 647.1432794 21882.48081 9674.970508 3698.054613 38505.26111 3802.294174 23715.32403 30220.31558 10835.99446 994.6392198 16119.93162 17914.91116 11867.49427 21602.50656 7674.05755 16111.28932 6348.192804 5746.22349 8995.887056 38145.30421 4179.237119 497.3749424 42678.25038 4017.131781 12719.62113 2954.932379 7134.799728 4222.089196 2826.486261 3355.440083 23740.34946 482.432982 21280.89037 3094.00696 5970.308218 26477.99664 1630.204925 20987.99576 20440.96037 6847.328206 34893.62221 8411.808266 17087.94775 693.2453994 9753.721209 2916.384191 1611.031208 1138.108719 Page 5 3c65b0002c8138dca6a20dbf859aa3d5 9.486938104 9.317401304 3.212641449 11.78631359 6.782581352 9.323093186 11.85317057 13.53023362 8.868701204 5.633887666 11.88910094 12.06896445 8.474224633 4.170273449 6.774520119 13.86714055 9.189566481 6.438621685 6.945542887 11.4686799 14.54911156 12.20166383 8.84052409 7.980504779 14.76686313 9.242822999 4.910446764 7.095395479 13.23928696 7.96728386 3.753074569 11.60591652 11.25653157 8.507252 9.555845772 9.13657325 7.967705565 6.462125134 10.96671646 10.14292113 10.53265087 4.429096818 6.820064914 14.63601862 10.40727698 7.864707673 8.057888012 8.490719806 13.97792127 13528.9909 7265.718832 841.1722365 22726.8769 7775.846631 10547.25844 14656.92229 31944.18475 10380.18806 4637.838901 17092.99481 21570.06441 8147.959378 849.6750517 3442.818171 28161.45881 10386.73458 3224.936025 3922.667073 17606.61297 29395.89105 21165.61749 9896.038021 6075.925103 25942.86309 10522.96187 5232.868175 2677.558641 24485.3784 7710.926817 1593.497114 23373.88212 20546.78834 10814.26572 11956.99466 9437.537428 8141.373397 3833.722526 19145.61525 16847.39298 16115.10561 2233.254482 3302.497961 36043.29062 15677.55407 6473.472191 7157.304085 5851.473084 31269.93117 Page 6 3c65b0002c8138dca6a20dbf859aa3d5 2.434311345 6.42178007 13.76845297 9.294936745 14.70133106 6.996015034 8.142933524 14.50766729 9.729192424 8.716589222 3.937164246 7.638011856 14.87782121 7.69969182 10.44753162 14.06988824 8.669105315 7.574650651 13.45563756 9.593661268 11.64255049 4.382108449 4.015984772 14.98975534 12.46456093 11.13041022 11.74846368 4.576405316 6.169181869 3.247734098 10.18222501 12.40863388 10.52971631 14.50392084 14.45820401 8.199180415 7.74926031 10.77023373 7.78127772 10.32017024 3.65385206 6.923043814 4.648874672 10.33747727 10.35176354 2.199526527 10.18148237 11.6244986 7.183998527 1122.465115 5967.016111 30958.81039 12902.30034 36626.84525 5716.074801 7994.644047 43803.3116 17768.19514 11494.63968 1197.557626 6946.815144 50076.61834 7891.275934 10153.2567 26592.45115 8333.844339 9194.762725 28602.55542 17722.79825 15509.43189 610.0027036 728.8462539 40749.99484 24186.56859 12500.15624 17611.7933 2423.157918 6569.529973 1075.596562 21972.40881 19535.76118 16977.2013 45638.79174 25748.55345 7735.493718 5393.478094 8462.259693 11826.68753 16271.70062 538.0418309 6821.40634 1660.251268 16723.28094 16087.12384 856.3412836 14170.38042 22411.62729 6610.692517 Page 7 3c65b0002c8138dca6a20dbf859aa3d5 7.333474312 7.080476162 12.06879412 2.582837082 5.853954428 12.90969497 11.34056138 4.711178187 14.17653709 3.331063043 11.27873494 4.485443542 4.99385836 3.652294566 13.43676448 5.330120545 12.32403394 7.598825365 12.18074467 2.17398676 5.788081855 4.586951932 9.519542428 10.03891707 6.749361943 5.405284914 11.81681479 12.98151967 9.267654532 3.582135184 3.655780878 11.47524682 12.10313 14.51487031 14.89885939 12.06855362 12.2521597 6.623677725 7.911553946 13.50065437 2.463193085 2.521957812 10.23643602 7.967982687 6.933302057 7.205099688 6.207000277 10.37608059 9.274078612 6368.527726 7071.552614 13747.11409 234.5500536 2596.529521 20863.10696 15386.43327 1160.186045 33771.42925 1733.569574 19796.44854 1395.302481 862.7714729 2936.298577 38660.33594 3094.744466 21987.61772 4073.782621 28183.31377 136.3181234 2899.03961 2222.279461 10645.27262 13081.5702 6968.499221 870.0332623 21137.93798 24992.46917 10002.79905 1109.901436 2590.664852 26735.37736 23444.36907 45601.08292 27817.6716 19437.29447 31327.98567 4395.374 8196.047433 35750.58948 1050.336983 1306.140025 7293.610051 7235.954358 7144.416277 4687.258919 3208.724323 9812.748024 14619.87034 Page 8 3c65b0002c8138dca6a20dbf859aa3d5 2.427094304 2.131618235 2.724735639 12.86070933 10.7337201 14.83108768 13.88456175 4.155887107 7.626130362 8.253681864 12.68919846 14.56946135 9.562641022 4.424620183 9.366703279 12.63375129 10.0878497 12.51227644 8.68006148 4.802663673 7.02941142 10.25727381 14.06393544 11.63041399 11.42450836 13.15085614 14.44891938 12.04544318 7.692690896 6.052758259 9.921015734 10.94050367 7.610978578 5.623437087 12.05669547 11.32876388 3.567021913 7.107949246 3.66183014 8.517033662 3.587574455 12.82836989 6.82845806 9.395489454 7.833242693 11.15269931 5.456503052 13.1820537 14.48232961 853.8080758 355.8025796 623.4445459 32217.60699 13709.77728 42612.55797 27951.01953 1549.317846 4853.026148 4501.675274 25526.80156 27051.19706 12837.81797 1732.107262 12893.95748 32449.62672 13809.0193 25970.86356 8113.358383 4211.46477 4265.859726 11816.64438 37705.42863 15730.64597 13467.6543 25235.34679 40819.77702 38567.57944 10167.91158 2619.840235 17659.45639 21550.79716 11286.89962 6179.862058 25241.99115 22197.91045 1850.771267 7637.175558 1671.882138 10222.2726 1339.920952 24186.98213 5267.449929 20870.4681 10115.84692 23311.69894 5049.230242 29448.26047 32990.02282 Page 9 3c65b0002c8138dca6a20dbf859aa3d5 10.16636174 13.13481387 13.27649605 7.216233763 13.78466964 8.569711785 12.84667493 3.643317073 8.299398775 4.449117457 10.24341927 11.34588877 10.72372634 10.19305993 14.97438517 7.553453488 6.996065391 2.333502054 4.864325942 3.351209555 5.710673672 2.449101277 4.534987991 11.36071178 14.24046018 9.137606869 6.233373107 8.402989765 9.530271081 6.28087335 7.203343561 3.377398117 8.474630184 10.29796802 3.462459626 7.617859287 13.82350207 3.875923661 2.76674707 11.06023292 12.09609586 12.95299836 3.539246398 12.87329125 12.7105391 5.497875197 9.701992276 7.347070303 5.566414842 11110.84379 19103.00514 35806.8499 8947.983928 33763.80129 11146.1761 22388.66318 2459.189466 10752.91601 4165.226157 13311.54935 13792.96954 13756.46258 10514.87861 42631.24118 3053.280043 6934.689415 505.9858246 2721.589738 1106.351048 2225.084474 1233.827184 2389.255917 15354.47601 29003.13792 8292.472644 2581.987185 9125.694498 16669.69316 4368.239542 3288.988792 150.5292925 10322.25166 13652.79517 1342.70357 7269.056927 29466.97617 1871.56302 1297.035779 9237.61821 22699.81848 26632.15797 1595.359812 30254.9471 27838.89374 3734.04415 15944.81355 13255.36877 2876.216193 Page 10 3c65b0002c8138dca6a20dbf859aa3d5 9.700308156 14.29676511 2.691248912 13.80128487 10.48160656 12.69013388 14.39703285 3.171811982 3.885567694 10.34446697 6.673248228 5.614245981 13.22473711 7.354547776 5.322892139 2.964988764 12.92811469 2.288140584 13.18240602 5.834257728 2.629721381 13.97468857 12.47747787 6.472669553 4.42081419 13.24437087 6.312118024 7.028153485 6.530705926 2.947208103 13.73365133 4.087080137 2.54414389 9.788791915 4.480191856 12.96051929 8.547203338 5.6338893 12.47772063 2.565346725 6.058244909 10.90000576 14.52165374 3.247716046 12.60761764 4.222776569 9.220997751 7.019651405 14.96748216 14085.93793 30956.7924 997.0370723 42038.54541 9944.155403 26918.1295 38813.56439 1063.216073 2107.690781 16780.0159 2890.815608 2678.070658 20538.70906 8157.112261 3204.28759 1066.081091 29131.10362 178.4189008 26201.84216 3317.637751 1060.775976 34360.37799 13816.59801 8987.288884 2905.031436 25065.6866 6725.748496 5712.610168 5974.085716 311.7462247 27377.2511 1191.705193 1028.239323 12206.97571 2444.72479 21252.04589 13492.85493 2156.576508 21570.89371 931.5680633 2371.223507 12669.17934 28296.87639 2554.069652 30466.02698 1917.969716 7790.747615 4411.598341 31442.33978 Page 11 3c65b0002c8138dca6a20dbf859aa3d5 12.71830531 8.561884533 13.82027987 7.046035444 6.050024569 8.530818183 5.328528713 12.39846873 2.012890907 5.706194301 14.30992501 11.38223021 6.118161072 11.34347592 3.890088938 2.453553259 2.1403145 8.340082886 9.21220262 5.912414677 13.71067423 10.86646221 9.559051593 3.350528892 12.32815336 12.03236873 7.008089378 4.05455942 14.60634883 6.044570727 5.231443202 13.87673549 8.804004073 2.342581106 7.699679271 12.84756782 14.87550494 9.912270427 2.005688928 2.164088421 9.061333532 7.736259845 11.32982545 13.47945908 6.056469295 10.81640374 3.797865773 10.26492612 11.5452336 30344.44156 10558.94426 28808.81933 3248.013623 3022.630312 10612.1707 4878.2457 22221.05328 86.23219065 4728.991665 34529.47659 14344.45613 3965.968397 16719.25419 684.805237 537.6875841 641.3951818 6813.653679 8508.248126 1509.69132 18330.64726 13382.75323 7850.478019 1724.301289 21212.89415 25561.82634 7636.612627 2501.071602 37212.77481 4667.114984 1160.662726 24345.98594 12062.90093 1403.050685 9058.363134 34781.26117 43088.20107 10887.23864 504.4524359 420.6568177 10933.6985 8496.812394 22999.24485 30998.7205 3129.748656 15802.76562 1667.508043 15159.75833 20503.42064 Page 12 3c65b0002c8138dca6a20dbf859aa3d5 6.256253902 8.218602618 6.568719499 6.590669287 8.714986051 2.472791665 14.15703738 8.658967547 13.68765548 3.533315808 6.643839843 9.271713259 12.29250172 6.019381223 7.446131539 8.578886181 5.417649543 9.666189374 2.614636995 14.61044625 8.253310724 7.567075976 12.86654637 10.99834337 3.800334227 12.86493303 13.79960652 5.303785508 9.77466707 10.23078569 4.373612937 6.010922439 9.254874541 3.957183033 14.5346827 7.801507539 6.157923284 14.88958851 10.83933972 9.203786105 12.27192037 11.02367401 10.6111403 13.32596173 10.11069417 14.87967238 2.156872352 9.140548547 12.30218445 5351.139508 8385.783144 2760.092283 4470.134671 8570.094696 641.231361 37620.45262 7719.736581 40102.42409 1554.39861 6363.674174 10947.6857 16986.19093 3122.975221 7247.268745 9088.370827 3728.342853 15587.6159 518.0574187 52402.50804 11481.9491 4421.321122 30776.39774 14072.24974 3685.606512 27892.64859 27834.15701 2107.854651 17977.60772 11587.26838 4196.690802 7052.781248 14324.43962 2662.12741 37653.52118 7675.460086 4393.056285 41611.84789 17853.87443 9006.478587 22975.75379 18186.07212 18841.56128 31968.97535 14083.78526 34613.38702 684.3135464 14180.46506 25856.39 Page 13 3c65b0002c8138dca6a20dbf859aa3d5 6.124215671 11.81049939 12.50851938 12.89871608 11.13980508 9.88719757 4.409919523 13.91046498 5.248044613 13.1423221 3.85326671 13.17531047 3.865575676 3.661583783 14.88256799 2.885159309 7.513871949 3.476449083 3.076780732 10.27893136 12.13382862 4.191119303 5.055142119 2.593201615 7.133353909 14.44709032 6.174341401 14.40525421 10.2754809 10.4176477 14.31865701 11.28861538 4.303781551 12.56998754 8.668764149 13.09993831 10.60166227 2.685533651 5.054322831 13.44831234 9.666451864 7.38184426 12.48683065 12.59558312 8.20854407 11.57108015 4.676739242 6.951195705 12.74319867 2845.799203 27132.35505 25775.73565 31605.65703 20782.19618 7872.528686 905.6154283 32363.03213 3725.995373 32473.81998 2411.368677 18995.83379 2314.109891 2506.936668 42761.29372 938.8396376 8258.961293 1664.155503 1192.963064 11156.09375 26541.80749 1416.439061 1452.400707 1894.994822 5552.840799 33326.85817 3761.269187 34814.23478 10451.15654 12157.26821 37261.91688 22474.04848 2009.562163 28303.15186 8656.906337 26845.28285 12579.61347 1012.934439 3204.839322 29420.61026 14650.4616 6938.174726 22824.45866 35772.25727 7563.053351 29495.03173 5542.474583 4506.528823 31570.02684 Page 14 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