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06 (10 points) Run a multiple regression model with dependent variable as y, independent variable as x1,x2,x3,x4,x5,x6,x7,x8,x9 a. Find the least squares prediction equation b. Based on this regression result, does x9 has the impact on y? Please conduct a hypothesis test at alpha=0.05 c. Based on this regression result, does x9 has the positive impact on y? Please conduct a hypothesis test at alpha =0.05 d. Based on this regression result, which independent variables are not signicant? Why? Please provide the corresponding results to support your claim. e. Propose and run new models by choosing the right independent variables. A B C D F F G H V x1 x2 x3 x4 x5 x6 x8 x9 W NP 757 325 26 155 443 1144 106 41 1599 1051 755 307 41 186 397 1281 85 48 1669 1017 718 302 38 134 519 1246 138 50 1753 1002 651 286 29 95 380 985 153 36 1811 1046 682 275 30 156 520 1244 104 47 1645 975 773 304 31 155 492 1266 81 39 1676 974 723 282 24 177 502 1151 4 00 78 21 1667 952 637 260 28 111 417 1162 105 59 1766 1001 10 705 264 16 211 401 1285 44 20 1585 943 11 665 257 42 132 427 1245 56 27 1608 976 12 715 316 27 128 544 1329 99 36 1543 941 13 686 265 27 152 517 1304 101 23 1652 959 14 569 284 23 142 504 1189 104 27 1664 962 15 619 275 21 105 471 1133 57 32 1751 970 16 645 254 36 122 501 1419 58 21 1735 987 17 660 279 32 155 417 1362 85 36 1630 934 18 650 297 28 150 423 1197 102 43 1682 891 19 615 259 47 118 398 1165 86 33 1798 955 20 612 263 24 117 527 1124 63 27 1746 957 21 633 247 26 147 452 1133 112 26 1652 929 22 729 253 33 146 586 1104 83 20 1476 922 23 634 282 20 123 535 1337 63 25 1620 930 24 634 247 32 136 396 1232 96 42 1626 913 25 619 251 27 125 443 1306 109 26 1729 953 26 629 240 19 163 495 1442 122 37 1470 895 27 573 240 22 123 472 1369 95 33 1641 931 28 614 270 31 157 442 1477 65 40 1500 857 29 629 275 19 125 516 1264 101 34 1577 887 30 595 254 20 131 415 1252 122 52 1610 877 31 535 224 30 109 468 1294 91 34 1738 836