Read data from the csv file \"1-4.csv\" into an R data frame. 1. How many variables does the data frame have? 2. How many rows does the data frame contain? 3. What is the mean of the variable X2? 4. What is the maximum value for the variable Y? Run a linear regression of Y on all the other variables. 5. Which of the input variables have a significant impact on the output variable Y? Now run a regression of Y on only the significant variables. 6. 7. 8. 9. 10. What are the coefficient estimates? By how much do you expect Y to change if X1 increases by 1? By how much do you expect Y to change if X3 increases by 1? By how much do you expect Y to change if X5 changes from 1 to 0? Predict Y if X1=50, X3=5, and X5=0 X1 67.362335114 5.9822875964 43.3203596235 81.4177107059 53.022290173 2.3186631645 25.8885514513 1.439359606 9.6751817223 89.8497689816 92.869339918 27.9012507452 37.1996160508 13.4310095094 33.0430905612 32.6826064347 82.1978867804 20.6911881631 84.2115000852 6.2416494256 96.0379264203 94.5504416844 77.9793231541 87.8272847713 78.1108110226 78.026509979 75.1813755587 47.8586285394 16.1893716936 86.3618483215 24.8890859871 50.3071811299 18.9708836195 47.5596534775 34.3369732723 52.697410129 15.8035186182 52.3894404511 52.855545589 90.6204022132 90.4389507964 84.9852587902 81.435882081 80.7302708388 44.3133679335 29.765250976 25.3577978299 81.0211092834 14.2520514585 44.315324276 51.1127079206 85.3726593892 79.6737183591 25.3484529655 90.8389187746 43.4841427365 5.9679195099 40.1051454719 25.2328872764 68.883571293 74.5872624691 5.1286517179 38.5773487815 24.7992347931 81.4265363407 26.6511251917 90.0100413596 56.8983779906 44.5539320204 1.5664771271 49.9454331361 23.7493312915 19.573842075 58.1981031061 18.6447595544 29.4851145705 93.7514546369 99.7454192273 48.2147350807 2.0836093512 72.5441600322 92.1846295674 47.9935342274 15.7082555059 82.575009695 5.5274533774 24.696569928 55.8776864191 58.1928002846 71.578599687 81.4975919593 52.6099380648 89.615305139 33.1784800736 X2 X3 X4 X5 Y 352.8143581003 5.1835894748 0.0228636093 0 6.3706553944 403.5998215899 8.0479582818 0.1881164515 0 -3.8344156012 299.6690464206 3.7898883456 0.1700353664 0 5.6211693386 534.0378290042 3.8234929321 0.04110236 0 8.217307756 491.7895891704 5.9732093499 0.6544249298 0 2.5136967177 259.2527088709 1.0374437645 0.675137697 0 12.8958385584 310.9415154904 5.7121875882 0.3741839724 0 -0.2230127221 539.5698761567 1.8492831988 0.6241035871 0 6.9672443563 354.7035830095 9.548811249 0.5225673295 1 -9.5587981144 452.9531830922 9.1103816498 0.7652901891 1 -1.086195482 546.9035541639 6.7958239792 0.0350441972 1 7.5284312212 219.7452307679 4.7229634202 0.6649494774 0 0.8182942556 217.309384048 4.7685634764 0.4145774324 0 4.7493779013 428.135320358 8.2899185456 0.0045797308 0 -6.6192808041 242.2059321776 7.6225826819 0.6560859736 1 -0.6547755924 424.9621778727 4.2507854942 0.6408919606 1 6.1987782397 307.6218870468 3.6239849427 0.5760220373 1 9.6081919896 223.1939873658 4.5476820366 0.0439299662 0 -1.9475458848 224.2237297818 8.0983804911 0.1122295745 0 -0.8633821847 547.4302516319 3.5093902703 0.6798638634 0 1.5076794702 430.2419096231 8.2575745927 0.3280988703 1 0.8213190333 560.2907094173 4.3157078349 0.4475865543 0 5.8081759606 572.8946599178 9.9487015768 0.0158775914 0 -5.9086261119 539.4517354667 6.5095885494 0.5732720108 1 3.879931045 432.8570781276 8.2143033249 0.9778537913 0 0.3766438623 260.8168773353 1.4478197508 0.16046301 1 16.5162684398 356.8415980786 0.6745570339 0.5623139199 0 21.2999199282 551.2349909171 9.7565853572 0.4521521612 0 -7.1921923737 292.3076830804 9.4295394095 0.4582032962 1 -5.2829994265 258.2632179372 9.6474263002 0.0952881752 1 -0.7713246409 509.7390535288 7.9779544845 0.9023076741 1 -4.7118348122 329.1237535886 6.8780337926 0.3805095425 1 6.3612137043 549.5778240263 0.492469708 0.2300596847 1 13.8955029005 383.3395370282 0.938442836 0.8085561632 0 15.5735227145 334.369717259 2.7486473252 0.909978647 1 15.0899236916 384.0565491468 8.3973540226 0.5216220666 1 -0.1357398392 446.3915485889 9.5454747835 0.6487338697 0 -12.3000573898 416.932995338 0.271321449 0.2766236812 0 15.8601134377 272.4171228707 8.520911478 0.7732390277 1 -5.4992084366 471.7526144348 6.619581508 0.9160782956 1 8.2312802361 532.3744468391 7.994100647 0.4694131943 1 3.2468169793 399.9483555555 0.7828025916 0.7813661068 0 17.3957627191 248.6006372608 7.25398832 0.3007550356 0 -0.3485695515 569.1709276289 2.3712081299 0.0461864269 0 8.8430543451 242.3760249279 9.8987798346 0.6435074518 0 -8.7114754778 226.1351807043 9.7746322351 0.7838492787 1 -9.8548926135 383.7997286581 8.0566721247 0.512001209 1 -4.6707335695 220.7561131567 9.3130924599 0.7911635432 0 -4.6164560516 409.154153429 2.3696976155 0.621547194 1 10.2328253368 299.4150022976 0.0458277785 0.0024111506 0 18.3819427329 417.3574959859 5.4658920295 0.1046259676 1 0.9550862478 463.7217588723 8.4633138194 0.775630984 1 -4.1674995358 364.4451947883 0.9487719415 0.0947670813 1 18.8452521618 515.8845918253 7.1727901604 0.0533498211 0 -2.2519620018 297.1448874101 6.5227866662 0.7905336793 1 4.1109519214 452.838924434 7.6465829229 0.0787074589 1 -2.2171983185 401.6308558173 1.0890831938 0.5837188088 0 9.8690766589 522.3692873493 0.1114497543 0.8478619717 0 18.0318859531 504.5647323132 1.9147718116 0.4283651938 0 14.0175868346 476.7948357388 9.8298770539 0.002777192 0 -6.7203321142 302.543637529 5.6206972059 0.8602597534 0 7.0326997597 377.0628538914 4.0451903571 0.3811110002 1 3.3239607752 307.6297319494 3.1373695447 0.8849888337 1 11.071273697 564.8726945743 6.8266010028 0.5433461671 0 -4.4297931403 243.3347395621 5.416204452 0.0369519161 0 4.0005475074 313.497320842 5.2473658184 0.0871243556 1 1.2067869592 548.7037571147 7.5110120629 0.4549266272 1 0.6166880226 228.140099626 7.0898122736 0.3596685741 1 -0.2184102448 204.4683248736 7.0177322254 0.7846742235 0 3.0473512263 555.3105196916 3.8458093256 0.9107598965 1 6.059479897 494.0495231189 8.6844362924 0.3075311598 0 -4.0446671243 377.3029211909 5.2035463112 0.725789933 0 3.2233114282 430.9510871768 7.3984999303 0.1711558339 0 -4.1759807123 295.0883220881 0.2875146572 0.2857601817 1 16.7971618956 271.5952717699 3.5832815222 0.6489048356 0 4.9636770946 597.1310292371 5.93065575 0.4313781902 0 4.6646160002 401.6150882468 2.6757914224 0.8554731929 0 15.3320959406 208.0198847689 5.9154645819 0.5990780888 1 8.4643332075 388.1522369571 2.6282392885 0.6505554297 0 11.3441847274 534.6167454496 4.0978419734 0.8104985878 0 5.1701887157 298.483787477 4.2101195548 0.2074010358 1 9.7445419895 440.551895462 6.9006561814 0.7142441715 0 4.4113747365 498.6854033545 0.8038416994 0.1791966509 1 18.5125227746 458.4432143718 1.9211655576 0.6783387323 0 11.980817038 309.0064400807 1.3273425843 0.0722909439 1 15.3003116729 353.7604914047 1.1708804779 0.2890337412 0 11.0298058878 413.0957027897 4.6997630806 0.9662320949 1 0.2790376413 410.2385642938 6.5374331339 0.8474905204 0 1.1226433525 431.269785855 5.8927945886 0.8592868051 0 0.3971703083 431.7167193629 8.3287486737 0.7997170396 1 -0.4579825605 559.1176237911 5.8339842292 0.9023225226 0 5.4875418263 330.0036072731 2.8410791419 0.6099444446 1 9.225375318 537.2087896802 7.7602886199 0.8977675594 1 2.2884373475 333.7953283452 9.4358143723 0.1223888139 1 -5.6273060702 75.8229399978 23.2788187875 85.0367315756 90.4493683726 23.5663406032 26.2750612278 81.7110855291 7.9510517619 55.461669439 47.0451698636 49.2897625072 72.642695494 34.5960948488 89.1263961743 12.0028215228 80.6950088448 25.4447332155 89.721823496 31.2435160794 49.2500335854 98.5623728966 57.762458391 84.5953377865 66.3348336276 89.711461056 5.4955214276 22.9432072924 81.6812730713 15.6632513537 77.7695211715 15.5319809641 99.9989087097 11.9877830432 98.3315896462 21.4462692868 43.8388101596 95.5017996742 16.0820504969 18.7587564446 35.2568896138 3.5924933478 60.7815025374 72.0282624478 94.9436198706 38.5038369761 97.0786376039 43.775774501 88.8085947649 39.1289554422 16.7713472678 11.0594902006 78.6883555811 59.7166729954 60.283443575 15.5906019958 9.1346235687 30.8564508613 31.1239112287 52.4791364709 98.7037460192 34.1070045019 52.4011272653 70.4623625225 19.5307448686 25.9430668445 42.5676910526 80.2577852348 72.6323550669 17.8460129439 25.3713180136 13.4065701764 46.560180061 7.6255070183 2.5304741364 39.2038275341 39.9342919763 20.3371165425 60.286104494 98.2696775482 83.7931716277 90.1161274787 38.3989807714 20.1500051178 34.0705513409 90.0735349571 5.711250847 26.7174712326 64.7159019604 30.4914460538 76.714890528 85.0108011691 81.10127281 46.0245268359 29.5428414375 54.2396518937 395.1826356351 321.0300773382 257.0119108073 498.1645601802 478.9278481156 353.2943985425 555.610826239 256.1739048921 558.4596446715 376.3381439261 253.4969098866 570.7600038499 438.9703024179 455.1544778049 261.8484726176 516.6265435517 327.5414040312 452.7753850445 597.5377308205 290.1267953217 467.9982404225 383.1313369796 206.1382495798 254.4323212467 228.1375109218 287.4094809406 364.6516444162 528.5595891066 596.1238637567 261.7636566982 450.3528758883 252.237938717 317.4468728714 236.0125385225 360.3955714032 522.7668683976 476.6073725186 475.7654077373 523.6122253351 206.0838482343 589.4298861735 568.3214353397 269.7332999669 209.6789189614 457.7516043559 232.4070444331 584.9094388075 333.0705076456 571.1513898335 529.8307848163 369.928355515 301.6048241407 263.4422914125 564.5867946558 336.4066390321 374.4927844033 262.3758286238 482.602023799 474.1819579154 597.8324540891 265.4441451654 229.5834386721 253.3122012392 273.8719699904 535.8503729105 430.8334303088 327.6470604353 505.828597676 203.6519525573 247.3717642017 529.6821983531 325.5515796132 457.5934334658 213.6615541764 425.9324075654 548.8344071433 525.9242638014 567.9676861502 380.3424963728 453.1927962787 277.5564411655 233.0640325323 388.8512219302 438.6122000404 439.4982236438 321.9483572058 573.2831713744 283.3038439974 516.8998728506 347.9089990258 445.7259114832 378.6082528532 490.3123225085 581.9150342606 376.7756015062 4.716266864 4.2311432026 3.7385514565 5.1841262565 2.7849050891 4.6545750182 7.371436127 5.7554501179 9.4312896393 8.8468242087 6.1051256699 5.5163846468 0.9945154726 4.3406041455 5.1826211298 4.783655121 5.9263410955 6.4229637594 8.3962408663 3.0914563965 3.4239789727 2.8018584638 4.8036803561 5.6124596531 2.0278537134 0.0827433262 3.2400354627 3.0169267929 5.6973791402 9.2719928059 1.8490292015 4.843793516 3.3614280913 1.0549112083 0.2255744883 6.8443564908 4.457352052 0.8644584636 1.155480165 4.6283365251 9.5310738776 6.7132669757 3.7190541229 8.7344380165 3.1682798266 2.5284423563 8.3713931427 2.421319664 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