Student 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 17.0 18.0 19.0 20.0 21.0 22.0 23.0 24.0 25.0 26.0 27.0 28.0 29.0 30.0 31.0 32.0 33.0 34.0 35.0 36.0 37.0 38.0 39.0 40.0 41.0 42.0 43.0 44.0 45.0 46.0 47.0 48.0 49.0 50.0 51.0 52.0 Family Income/Month ($) 581.0 970.0 664.0 859.0 676.0 588.0 646.0 890.0 784.0 1,196.0 818.0 1,160.0 856.0 1,172.0 1,108.0 1,040.0 820.0 759.0 1,052.0 1,076.0 1,087.0 961.0 558.0 669.0 1,195.0 735.0 917.0 800.0 1,106.0 865.0 841.0 851.0 1,130.0 937.0 511.0 658.0 327.0 849.0 730.0 2,607.0 267.0 1,198.0 680.0 863.0 542.0 849.0 852.0 546.0 578.0 473.0 2,415.0 2,265.0 Gender M M M M M M M F F M M F M F M F F F F F M M M F M F M M M F M M M F M M F F M F M M M F F F M F M F M F nglish Level 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 3.0 1.0 3.0 3.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 2.0 1.0 2.0 1.0 3.0 2.0 3.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 3.0 1.0 1.0 1.0 2.0 1.0 3.0 1.0 1.0 1.0 1.0 3.0 3.0 53.0 54.0 55.0 56.0 57.0 58.0 59.0 60.0 61.0 62.0 63.0 64.0 65.0 66.0 67.0 68.0 69.0 70.0 71.0 72.0 73.0 74.0 75.0 76.0 77.0 78.0 79.0 80.0 81.0 82.0 83.0 84.0 85.0 86.0 87.0 88.0 89.0 90.0 91.0 92.0 93.0 94.0 95.0 96.0 97.0 98.0 99.0 100.0 101.0 102.0 103.0 104.0 105.0 2,348.0 533.0 2,563.0 2,083.0 1,123.0 652.0 776.0 495.0 1,477.0 239.0 786.0 759.0 317.0 366.0 255.0 539.0 1,447.0 637.0 265.0 529.0 210.0 1,364.0 211.0 1,305.0 502.0 651.0 285.0 1,053.0 1,507.0 244.0 326.0 809.0 1,170.0 1,466.0 2,605.0 909.0 296.0 974.0 535.0 1,871.0 272.0 1,304.0 1,013.0 2,806.0 650.0 742.0 872.0 1,343.0 1,161.0 1,271.0 1,113.0 1,871.0 1,717.0 F F F F M M M F M M M F M M F M F F F F M M M M M F M M M F M M F F F M M F M F F M M F F M M F M M F M M 3.0 1.0 3.0 2.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 3.0 2.0 1.0 3.0 1.0 3.0 1.0 3.0 2.0 3.0 1.0 1.0 1.0 2.0 2.0 1.0 1.0 1.0 2.0 106.0 107.0 108.0 109.0 110.0 111.0 112.0 113.0 114.0 115.0 116.0 117.0 118.0 119.0 120.0 121.0 122.0 123.0 124.0 125.0 126.0 127.0 128.0 129.0 130.0 131.0 132.0 133.0 134.0 135.0 136.0 137.0 138.0 139.0 140.0 141.0 142.0 143.0 144.0 145.0 146.0 147.0 148.0 149.0 150.0 151.0 152.0 153.0 154.0 155.0 156.0 157.0 158.0 1,161.0 1,461.0 1,447.0 1,838.0 1,686.0 1,160.0 1,366.0 1,866.0 1,642.0 1,485.0 1,776.0 1,473.0 1,710.0 1,225.0 1,447.0 1,349.0 1,800.0 1,077.0 1,846.0 1,157.0 1,589.0 1,512.0 1,022.0 1,524.0 2,554.0 539.0 714.0 478.0 1,506.0 666.0 206.0 291.0 505.0 2,441.0 328.0 1,761.0 380.0 572.0 2,562.0 713.0 455.0 377.0 1,533.0 726.0 445.0 1,524.0 1,360.0 225.0 372.0 2,101.0 604.0 274.0 2,718.0 M M F M F F M F F F F M M M F M F M M M M F M F F M F M F M F F F F F F F F M F M M F M F F M M M M F F F 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 3.0 1.0 1.0 2.0 2.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 3.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 2.0 3.0 1.0 3.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 3.0 159.0 160.0 161.0 162.0 163.0 164.0 165.0 166.0 167.0 168.0 169.0 170.0 171.0 172.0 173.0 174.0 175.0 176.0 177.0 178.0 179.0 180.0 181.0 182.0 183.0 184.0 185.0 186.0 187.0 188.0 189.0 190.0 191.0 192.0 193.0 194.0 195.0 196.0 197.0 198.0 199.0 200.0 201.0 202.0 203.0 204.0 205.0 206.0 207.0 208.0 209.0 210.0 211.0 2,335.0 862.0 1,287.0 511.0 628.0 1,125.0 935.0 424.0 1,973.0 492.0 628.0 813.0 752.0 1,479.0 1,404.0 1,834.0 365.0 535.0 2,139.0 340.0 1,409.0 568.0 486.0 959.0 1,675.0 204.0 2,239.0 534.0 1,540.0 1,431.0 767.0 406.0 941.0 367.0 351.0 714.0 417.0 970.0 1,493.0 1,848.0 1,093.0 237.0 242.0 1,594.0 469.0 817.0 541.0 638.0 829.0 931.0 559.0 747.0 532.0 M F F F M F F F F F M F F M M F M F F F F F M M M F F M F M M F F M F M M M M M F F M M F F F F F M F F F 3.0 1.0 3.0 3.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 3.0 1.0 1.0 1.0 3.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 212.0 213.0 214.0 215.0 216.0 217.0 218.0 219.0 220.0 221.0 222.0 223.0 224.0 225.0 226.0 227.0 228.0 229.0 230.0 231.0 232.0 233.0 234.0 235.0 236.0 237.0 238.0 239.0 240.0 241.0 242.0 243.0 244.0 245.0 246.0 247.0 248.0 249.0 250.0 251.0 252.0 253.0 254.0 255.0 256.0 257.0 258.0 259.0 260.0 261.0 262.0 263.0 264.0 720.0 585.0 796.0 759.0 590.0 844.0 557.0 743.0 721.0 596.0 860.0 799.0 527.0 555.0 412.0 549.0 2,680.0 576.0 1,218.0 967.0 502.0 727.0 1,449.0 550.0 1,390.0 357.0 642.0 230.0 481.0 654.0 295.0 1,106.0 1,198.0 1,453.0 759.0 1,399.0 1,541.0 597.0 1,170.0 517.0 2,696.0 952.0 1,438.0 690.0 1,090.0 2,375.0 2,354.0 501.0 286.0 535.0 759.0 851.0 712.0 M M F M F F F M M F M M M M F M F F F M F F M F F M F F F F F M F F M F M M M F F F M F M F M M M M M M M 1.0 2.0 1.0 2.0 1.0 1.0 1.0 2.0 2.0 3.0 1.0 1.0 2.0 1.0 1.0 1.0 2.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 3.0 2.0 3.0 1.0 1.0 2.0 1.0 2.0 1.0 3.0 2.0 1.0 1.0 1.0 3.0 3.0 1.0 1.0 1.0 1.0 1.0 2.0 265.0 266.0 267.0 268.0 269.0 270.0 271.0 272.0 273.0 274.0 275.0 276.0 277.0 278.0 279.0 280.0 281.0 282.0 283.0 284.0 285.0 286.0 287.0 288.0 289.0 290.0 291.0 292.0 293.0 294.0 295.0 296.0 297.0 298.0 299.0 300.0 301.0 302.0 303.0 304.0 305.0 306.0 307.0 308.0 309.0 310.0 311.0 312.0 313.0 314.0 315.0 316.0 317.0 748.0 966.0 719.0 775.0 916.0 640.0 792.0 844.0 828.0 892.0 951.0 679.0 687.0 664.0 924.0 824.0 874.0 748.0 879.0 835.0 687.0 859.0 656.0 936.0 928.0 900.0 843.0 921.0 726.0 880.0 419.0 1,552.0 233.0 461.0 574.0 788.0 2,570.0 699.0 586.0 254.0 1,403.0 207.0 286.0 758.0 698.0 684.0 614.0 421.0 2,830.0 2,386.0 2,830.0 2,909.0 1,471.0 F F M M M F F F F F F M F F M M F M F M M M M M F F M F M M M F M M F M M M F M F M M F M F M M F M M F F 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 3.0 3.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 2.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 3.0 2.0 3.0 1.0 318.0 319.0 320.0 321.0 322.0 323.0 324.0 325.0 326.0 327.0 328.0 329.0 330.0 331.0 332.0 333.0 334.0 335.0 336.0 337.0 338.0 339.0 340.0 341.0 342.0 343.0 344.0 345.0 346.0 347.0 348.0 349.0 350.0 351.0 352.0 353.0 354.0 355.0 356.0 357.0 358.0 359.0 360.0 361.0 362.0 363.0 364.0 365.0 366.0 367.0 368.0 369.0 370.0 533.0 1,355.0 332.0 1,353.0 1,022.0 901.0 353.0 876.0 229.0 1,013.0 518.0 2,302.0 835.0 575.0 692.0 1,304.0 15,500.0 399.0 357.0 1,172.0 354.0 414.0 2,872.0 589.0 1,016.0 919.0 1,139.0 269.0 516.0 1,623.0 311.0 311.0 223.0 222.0 1,040.0 1,430.0 1,515.0 1,214.0 2,140.0 217.0 1,196.0 2,593.0 444.0 1,488.0 2,579.0 1,005.0 1,597.0 405.0 224.0 938.0 430.0 644.0 911.0 F F M M F F F F F M F F M M M F M M M F F M F F M M F F M F F F F M F M F F M F F F M M F F F M M M M M M 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 3.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 2.0 1.0 1.0 1.0 2.0 2.0 3.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 3.0 371.0 372.0 373.0 374.0 375.0 376.0 377.0 378.0 379.0 380.0 381.0 382.0 383.0 384.0 385.0 386.0 387.0 388.0 389.0 390.0 391.0 392.0 393.0 394.0 395.0 396.0 397.0 398.0 399.0 400.0 401.0 402.0 403.0 404.0 405.0 406.0 407.0 408.0 409.0 410.0 411.0 412.0 413.0 414.0 415.0 416.0 417.0 418.0 419.0 420.0 421.0 422.0 423.0 2,470.0 452.0 393.0 1,585.0 714.0 771.0 862.0 441.0 23,000.0 1,665.0 1,486.0 1,573.0 374.0 538.0 382.0 382.0 583.0 1,230.0 1,011.0 1,171.0 1,877.0 974.0 391.0 378.0 2,294.0 580.0 769.0 1,133.0 403.0 2,464.0 680.0 776.0 283.0 1,391.0 962.0 495.0 509.0 2,288.0 1,115.0 764.0 285.0 2,475.0 778.0 518.0 543.0 432.0 376.0 243.0 585.0 369.0 529.0 518.0 487.0 F F M F M M M M F M F F F F F M M F M M F F M M M F F M F M F M M F M M F M M F F M F M F M F F M F F F F 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 424.0 425.0 426.0 427.0 428.0 429.0 430.0 431.0 432.0 433.0 434.0 435.0 436.0 437.0 438.0 439.0 440.0 441.0 442.0 443.0 444.0 445.0 446.0 447.0 448.0 449.0 450.0 451.0 452.0 453.0 454.0 455.0 456.0 457.0 458.0 459.0 460.0 461.0 462.0 463.0 464.0 465.0 466.0 467.0 468.0 469.0 470.0 471.0 472.0 473.0 474.0 475.0 476.0 593.0 749.0 2,831.0 322.0 2,651.0 443.0 2,299.0 337.0 1,273.0 289.0 1,528.0 698.0 2,806.0 659.0 1,201.0 1,538.0 1,474.0 424.0 445.0 385.0 1,051.0 627.0 2,836.0 678.0 2,343.0 330.0 586.0 1,220.0 930.0 2,647.0 545.0 241.0 510.0 1,410.0 894.0 874.0 569.0 774.0 778.0 709.0 251.0 2,554.0 2,301.0 1,125.0 2,920.0 2,616.0 2,210.0 1,655.0 2,513.0 505.0 1,139.0 337.0 428.0 F M F M F F F F M M M F F F F M M M F F M M F M F F M M M M M F F M F M M M F F F F M M M M F F F M M M M 1.0 1.0 3.0 1.0 2.0 1.0 3.0 1.0 1.0 2.0 1.0 1.0 3.0 1.0 1.0 3.0 3.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 2.0 2.0 1.0 2.0 1.0 2.0 1.0 1.0 1.0 2.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 3.0 1.0 2.0 3.0 3.0 3.0 3.0 1.0 1.0 1.0 2.0 477.0 478.0 479.0 480.0 481.0 482.0 483.0 484.0 485.0 486.0 487.0 488.0 489.0 490.0 491.0 492.0 493.0 494.0 495.0 496.0 497.0 498.0 499.0 500.0 501.0 502.0 503.0 504.0 505.0 506.0 507.0 508.0 509.0 510.0 511.0 512.0 513.0 514.0 515.0 516.0 517.0 518.0 519.0 520.0 521.0 522.0 523.0 524.0 525.0 526.0 527.0 528.0 529.0 520.0 825.0 282.0 307.0 218.0 299.0 586.0 553.0 1,549.0 1,393.0 559.0 1,199.0 1,315.0 325.0 343.0 923.0 2,208.0 765.0 2,733.0 2,643.0 329.0 753.0 1,065.0 463.0 2,473.0 2,201.0 718.0 2,514.0 258.0 690.0 1,317.0 1,470.0 719.0 360.0 1,376.0 457.0 844.0 606.0 465.0 215.0 408.0 2,337.0 323.0 2,327.0 725.0 1,221.0 388.0 713.0 257.0 1,026.0 997.0 592.0 690.0 F M M F M F F M F M M F F F F M F F F F M M F F M F F M M M M F M M M F F M F M F F M F F M M F F F F M F 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 2.0 2.0 3.0 3.0 1.0 1.0 1.0 3.0 3.0 3.0 3.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 2.0 3.0 1.0 3.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 530.0 531.0 532.0 533.0 534.0 535.0 536.0 537.0 538.0 539.0 540.0 541.0 542.0 543.0 544.0 545.0 546.0 547.0 548.0 549.0 550.0 551.0 552.0 553.0 554.0 555.0 556.0 557.0 558.0 559.0 560.0 561.0 562.0 563.0 564.0 565.0 566.0 567.0 568.0 569.0 570.0 571.0 572.0 573.0 574.0 575.0 576.0 577.0 578.0 579.0 580.0 581.0 582.0 572.0 2,627.0 481.0 581.0 2,567.0 487.0 464.0 1,157.0 2,769.0 1,423.0 740.0 1,283.0 1,206.0 1,204.0 2,794.0 250.0 317.0 673.0 720.0 2,725.0 2,144.0 1,080.0 1,895.0 731.0 551.0 707.0 2,799.0 915.0 930.0 365.0 912.0 538.0 1,098.0 1,464.0 628.0 2,161.0 273.0 352.0 784.0 321.0 781.0 1,353.0 2,789.0 776.0 1,467.0 441.0 227.0 218.0 661.0 1,428.0 304.0 408.0 1,229.0 M F F M M F M M M M F F M M F M M F M F F M M M F M M M M M F F M F F M M F F M F M M F F M F F F F M F F 2.0 3.0 1.0 2.0 2.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 2.0 1.0 3.0 3.0 1.0 3.0 1.0 2.0 1.0 3.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 3.0 1.0 3.0 2.0 2.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 2.0 583.0 584.0 585.0 586.0 587.0 588.0 589.0 590.0 591.0 592.0 593.0 594.0 595.0 596.0 597.0 598.0 599.0 600.0 601.0 602.0 603.0 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1.0 1.0 1.0 3.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 3.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1,113.0 1,114.0 1,115.0 1,116.0 1,117.0 1,118.0 1,119.0 1,120.0 1,121.0 1,122.0 1,123.0 1,124.0 1,125.0 1,126.0 1,127.0 1,128.0 1,129.0 1,130.0 1,131.0 1,132.0 1,133.0 1,134.0 1,135.0 1,136.0 1,137.0 1,138.0 1,139.0 1,140.0 1,141.0 1,142.0 1,143.0 1,144.0 1,145.0 1,146.0 1,147.0 1,148.0 1,149.0 1,150.0 1,151.0 1,152.0 1,153.0 1,154.0 1,155.0 1,156.0 1,157.0 1,158.0 1,159.0 1,160.0 1,161.0 1,162.0 1,163.0 1,164.0 1,165.0 752.0 1,718.0 894.0 773.0 1,736.0 1,200.0 1,797.0 1,650.0 1,374.0 1,116.0 938.0 1,201.0 1,283.0 1,694.0 1,735.0 1,595.0 1,593.0 1,771.0 1,036.0 1,777.0 1,718.0 1,399.0 1,198.0 1,217.0 1,804.0 1,567.0 1,406.0 1,435.0 942.0 873.0 1,096.0 993.0 1,152.0 971.0 870.0 1,070.0 996.0 1,117.0 915.0 1,127.0 1,152.0 1,028.0 965.0 869.0 1,174.0 1,024.0 1,146.0 1,178.0 1,176.0 1,038.0 1,123.0 1,177.0 1,044.0 F M F F F M F F F M M F M F M M F F M F F F M M F F F M M M M F F F F M M M F F M F F F F F F M F F M F F 1.0 1.0 3.0 2.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 3.0 1.0 1.0 3.0 2.0 3.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1,166.0 1,167.0 1,168.0 1,169.0 1,170.0 1,171.0 1,172.0 1,173.0 1,174.0 1,175.0 1,176.0 1,177.0 1,178.0 1,179.0 1,180.0 1,181.0 1,182.0 1,183.0 1,184.0 1,185.0 1,186.0 1,187.0 1,188.0 1,189.0 1,190.0 1,191.0 1,192.0 1,193.0 1,194.0 1,195.0 1,196.0 1,197.0 1,198.0 1,199.0 1,200.0 1,201.0 1,202.0 1,203.0 1,204.0 1,205.0 1,206.0 1,207.0 1,208.0 1,209.0 1,210.0 1,211.0 1,212.0 1,213.0 1,214.0 1,215.0 1,216.0 1,217.0 1,218.0 1,127.0 848.0 842.0 886.0 1,086.0 1,058.0 966.0 982.0 883.0 1,194.0 823.0 936.0 961.0 959.0 1,000.0 881.0 1,149.0 927.0 956.0 1,155.0 1,139.0 1,124.0 912.0 888.0 940.0 1,133.0 1,124.0 840.0 1,119.0 1,003.0 1,032.0 875.0 865.0 1,088.0 835.0 1,124.0 1,069.0 1,175.0 1,021.0 1,015.0 1,184.0 1,064.0 1,008.0 2,921.0 2,339.0 560.0 1,007.0 1,981.0 1,397.0 300.0 296.0 1,263.0 2,218.0 F M F F M F M F F M M M M F F M F F M M M F M F F F F F F F M M F F F F F M F F F M F M F M M M M F M M M 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 3.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 2.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 3.0 2.0 1.0 1.0 1.0 1.0 2.0 1.0 2.0 2.0 3.0 1.0 1.0 2.0 3.0 1.0 1.0 1.0 3.0 1,219.0 1,220.0 1,221.0 1,222.0 1,223.0 1,224.0 1,225.0 1,226.0 1,227.0 1,228.0 1,229.0 1,230.0 1,231.0 1,232.0 1,233.0 1,234.0 1,235.0 1,236.0 1,237.0 1,238.0 1,239.0 1,240.0 1,241.0 1,242.0 1,243.0 1,244.0 1,245.0 1,246.0 1,247.0 1,248.0 1,249.0 1,250.0 1,251.0 1,252.0 1,253.0 1,254.0 1,255.0 1,256.0 1,257.0 1,258.0 1,259.0 1,260.0 1,261.0 1,262.0 1,263.0 1,264.0 1,265.0 1,266.0 1,267.0 1,268.0 1,269.0 1,270.0 1,271.0 581.0 522.0 793.0 2,809.0 2,579.0 419.0 1,226.0 737.0 2,064.0 1,270.0 1,260.0 324.0 1,404.0 744.0 362.0 682.0 232.0 1,426.0 398.0 200.0 1,495.0 1,075.0 2,929.0 2,598.0 549.0 650.0 256.0 920.0 1,397.0 684.0 221.0 264.0 1,307.0 626.0 449.0 1,094.0 797.0 383.0 2,425.0 244.0 1,205.0 509.0 2,169.0 386.0 1,808.0 2,708.0 1,200.0 1,121.0 855.0 1,206.0 3,046.0 2,930.0 1,842.0 M M F F M F M M F M F M F F F F M F M F M M F M F M M M F M M F M M M F M M F F M M M F M F M M M M M M M 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 3.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 2.0 1.0 1.0 3.0 3.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 3.0 1.0 2.0 1.0 1.0 1.0 1,272.0 1,273.0 1,274.0 1,275.0 1,276.0 1,277.0 1,278.0 1,279.0 1,280.0 1,281.0 1,282.0 1,283.0 1,284.0 1,285.0 1,286.0 1,287.0 1,288.0 1,289.0 1,290.0 1,291.0 1,292.0 1,293.0 1,294.0 1,295.0 1,296.0 1,297.0 1,298.0 1,299.0 1,300.0 1,301.0 1,302.0 1,303.0 1,304.0 1,305.0 1,306.0 1,307.0 1,308.0 1,309.0 1,310.0 1,311.0 1,312.0 1,313.0 1,314.0 1,315.0 1,316.0 1,317.0 1,318.0 1,319.0 1,320.0 1,321.0 1,322.0 1,323.0 1,324.0 1,984.0 850.0 1,016.0 1,900.0 3,082.0 915.0 2,465.0 2,546.0 1,495.0 2,596.0 902.0 1,432.0 2,720.0 1,061.0 2,162.0 3,232.0 2,233.0 1,268.0 1,243.0 1,117.0 2,244.0 1,661.0 1,541.0 2,700.0 2,442.0 2,368.0 3,123.0 1,785.0 1,770.0 2,379.0 1,354.0 2,628.0 1,726.0 1,197.0 2,714.0 2,770.0 2,554.0 2,852.0 1,378.0 2,747.0 1,304.0 2,389.0 2,531.0 1,770.0 1,966.0 2,258.0 979.0 2,338.0 2,180.0 1,532.0 2,924.0 2,708.0 3,267.0 M F M F M F F M F M M F F F F F M M F M F F F M F M F M F F M M F F M F M M M F M F F M F F M F F F F F M 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 2.0 1.0 1.0 3.0 1.0 3.0 1.0 1.0 1.0 1.0 2.0 3.0 2.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1,325.0 1,326.0 1,327.0 1,328.0 1,329.0 1,330.0 1,331.0 1,332.0 1,333.0 1,334.0 1,335.0 1,336.0 1,337.0 1,338.0 1,339.0 1,340.0 1,341.0 1,342.0 1,343.0 1,344.0 1,345.0 1,346.0 1,347.0 1,348.0 1,349.0 1,350.0 1,351.0 1,352.0 1,353.0 1,354.0 1,355.0 1,356.0 1,357.0 1,358.0 1,359.0 1,360.0 1,361.0 1,362.0 1,363.0 1,364.0 1,365.0 1,366.0 1,367.0 1,368.0 1,369.0 1,370.0 1,371.0 1,372.0 1,373.0 1,374.0 1,375.0 1,376.0 1,377.0 2,174.0 2,125.0 2,307.0 1,745.0 3,231.0 2,917.0 2,725.0 2,826.0 644.0 1,582.0 850.0 275.0 952.0 2,048.0 548.0 231.0 845.0 696.0 454.0 299.0 558.0 2,870.0 1,003.0 1,293.0 2,048.0 622.0 694.0 2,307.0 530.0 772.0 1,209.0 456.0 656.0 2,988.0 814.0 201.0 541.0 2,175.0 1,104.0 936.0 751.0 235.0 1,482.0 2,028.0 679.0 1,982.0 1,705.0 1,195.0 1,290.0 641.0 702.0 597.0 770.0 F F F F M F F M M F M M M F M F M F M F F M F F F F M F F F M F M M F F M M M F F M M F M M F M F F F F F 1.0 1.0 2.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 2.0 2.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 3.0 2.0 1.0 3.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 2.0 1.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 1.0 1.0 1,378.0 1,379.0 1,380.0 1,381.0 1,382.0 1,383.0 1,384.0 1,385.0 1,386.0 1,387.0 1,388.0 1,389.0 1,390.0 1,391.0 1,392.0 1,393.0 1,394.0 1,395.0 1,396.0 1,397.0 1,398.0 1,399.0 1,400.0 2,976.0 624.0 718.0 1,661.0 319.0 1,534.0 537.0 597.0 1,198.0 1,621.0 1,213.0 1,171.0 677.0 537.0 2,368.0 672.0 1,565.0 578.0 629.0 741.0 1,586.0 403.0 761.0 M M F F M M F F M F M M M M M F M F M M M M M 2.0 1.0 1.0 3.0 1.0 1.0 1.0 1.0 2.0 3.0 1.0 2.0 1.0 1.0 2.0 1.0 2.0 1.0 1.0 1.0 3.0 1.0 2.0 ctivities Level 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 GPA 83.0 73.0 75.0 75.0 79.0 86.0 71.0 86.0 84.0 92.0 72.0 79.0 79.0 84.0 76.0 92.0 73.0 91.0 83.0 90.0 87.0 92.0 85.0 85.0 95.0 82.0 85.0 70.0 85.0 95.0 86.0 70.0 70.0 71.0 74.0 72.0 75.0 91.0 76.0 73.0 87.0 82.0 78.0 93.0 75.0 91.0 89.0 75.0 92.0 71.0 89.0 75.0 University Ranking 1.0 1.0 3.0 3.0 1.0 3.0 1.0 2.0 3.0 1.0 3.0 2.0 1.0 2.0 3.0 1.0 2.0 1.0 1.0 1.0 1.0 2.0 1.0 3.0 3.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 2.0 1.0 2.0 1.0 1.0 2.0 1.0 2.0 1.0 3.0 1.0 2.0 2.0 1.0 2.0 2.0 2.0 1.0 1.0 1.0 Salary after graduation ($) 638.0 830.0 692.0 693.0 1,153.0 407.0 229.0 162.0 1,942.0 1,371.0 740.0 1,970.0 1,526.0 935.0 1,451.0 1,466.0 699.0 286.0 603.0 217.0 619.0 244.0 2,247.0 630.0 1,761.0 241.0 1,273.0 267.0 256.0 248.0 181.0 3,310.0 241.0 195.0 1,365.0 1,221.0 225.0 783.0 466.0 2,058.0 237.0 959.0 203.0 1,336.0 381.0 1,024.0 245.0 198.0 662.0 231.0 1,133.0 2,387.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 94.0 92.0 88.0 95.0 72.0 80.0 74.0 72.0 78.0 74.0 92.0 81.0 82.0 73.0 78.0 90.0 93.0 78.0 90.0 79.0 78.0 79.0 79.0 71.0 87.0 78.0 90.0 92.0 94.0 81.0 78.0 89.0 74.0 81.0 86.0 74.0 94.0 73.0 83.0 82.0 85.0 82.0 72.0 95.0 83.0 94.0 76.0 71.0 95.0 92.0 95.0 77.0 79.0 2.0 2.0 1.0 1.0 1.0 3.0 2.0 3.0 3.0 1.0 3.0 2.0 1.0 2.0 2.0 1.0 3.0 3.0 1.0 2.0 2.0 1.0 3.0 3.0 2.0 1.0 2.0 1.0 3.0 1.0 1.0 1.0 1.0 3.0 1.0 1.0 1.0 2.0 3.0 1.0 2.0 1.0 1.0 1.0 2.0 3.0 1.0 1.0 3.0 1.0 2.0 1.0 1.0 1,620.0 231.0 1,359.0 643.0 851.0 213.0 1,304.0 1,786.0 879.0 380.0 1,498.0 962.0 162.0 199.0 1,060.0 184.0 507.0 502.0 1,155.0 489.0 356.0 180.0 705.0 1,085.0 164.0 534.0 314.0 395.0 856.0 425.0 237.0 340.0 675.0 942.0 1,633.0 244.0 158.0 897.0 608.0 1,076.0 212.0 1,138.0 335.0 1,500.0 172.0 708.0 189.0 628.0 753.0 209.0 179.0 587.0 953.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 80.0 88.0 82.0 82.0 75.0 76.0 76.0 80.0 91.0 75.0 93.0 81.0 90.0 84.0 70.0 84.0 77.0 77.0 70.0 83.0 85.0 73.0 77.0 93.0 90.0 83.0 72.0 92.0 87.0 77.0 79.0 78.0 81.0 73.0 77.0 92.0 93.0 79.0 95.0 92.0 84.0 92.0 85.0 86.0 91.0 75.0 73.0 81.0 79.0 91.0 80.0 70.0 2.0 1.0 3.0 1.0 2.0 1.0 3.0 1.0 3.0 2.0 1.0 1.0 3.0 2.0 1.0 2.0 2.0 2.0 1.0 2.0 1.0 1.0 1.0 2.0 2.0 2.0 3.0 3.0 2.0 2.0 1.0 2.0 3.0 3.0 1.0 1.0 1.0 2.0 1.0 2.0 1.0 2.0 3.0 1.0 3.0 3.0 2.0 3.0 1.0 1.0 2.0 3.0 1.0 1,443.0 350.0 414.0 612.0 1,395.0 970.0 502.0 199.0 1,665.0 1,090.0 1,091.0 542.0 1,041.0 246.0 241.0 232.0 243.0 286.0 393.0 626.0 187.0 198.0 1,147.0 1,484.0 1,915.0 1,072.0 542.0 901.0 673.0 208.0 222.0 221.0 960.0 1,765.0 409.0 3,798.0 391.0 802.0 1,819.0 373.0 225.0 623.0 756.0 433.0 531.0 686.0 877.0 312.0 202.0 1,279.0 374.0 211.0 1,320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 90.0 89.0 90.0 89.0 71.0 86.0 88.0 83.0 70.0 72.0 94.0 72.0 81.0 80.0 80.0 86.0 76.0 86.0 95.0 73.0 90.0 91.0 78.0 76.0 94.0 78.0 73.0 84.0 87.0 90.0 85.0 78.0 88.0 88.0 76.0 92.0 73.0 70.0 81.0 73.0 83.0 86.0 89.0 77.0 78.0 86.0 78.0 79.0 72.0 84.0 95.0 90.0 2.0 2.0 1.0 1.0 2.0 2.0 2.0 1.0 2.0 2.0 3.0 2.0 1.0 3.0 3.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 3.0 2.0 1.0 1.0 1.0 3.0 3.0 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404.0 316.0 1,110.0 352.0 715.0 178.0 475.0 217.0 611.0 162.0 1,013.0 357.0 989.0 283.0 1,112.0 327.0 2,309.0 363.0 1,164.0 223.0 1,373.0 346.0 691.0 2,272.0 347.0 220.0 1,217.0 201.0 883.0 1,388.0 1,262.0 1.0 1.0 0.0 2.0 0.0 1.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 2.0 0.0 1.0 0.0 86.0 70.0 88.0 70.0 67.0 96.0 62.0 56.0 66.0 55.0 54.0 57.0 90.0 87.0 85.0 72.0 61.0 72.0 54.0 84.0 88.0 93.0 78.0 84.0 60.0 71.0 72.0 89.0 58.0 80.0 69.0 52.0 85.0 86.0 66.0 73.0 87.0 63.0 90.0 74.0 58.0 96.0 70.0 68.0 73.0 59.0 65.0 61.0 85.0 75.0 68.0 52.0 93.0 2.0 1.0 1.0 1.0 2.0 2.0 1.0 1.0 3.0 2.0 3.0 1.0 1.0 1.0 1.0 1.0 2.0 3.0 3.0 2.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 3.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 3.0 2.0 2.0 2.0 1.0 1.0 3.0 2.0 2.0 2.0 3.0 1.0 2.0 318.0 322.0 441.0 1,998.0 461.0 1,882.0 210.0 1,301.0 348.0 179.0 407.0 237.0 931.0 831.0 500.0 337.0 490.0 515.0 458.0 241.0 351.0 1,035.0 473.0 532.0 1,162.0 449.0 276.0 1,296.0 250.0 247.0 397.0 191.0 1,139.0 1,665.0 201.0 163.0 290.0 615.0 843.0 440.0 1,350.0 877.0 459.0 1,344.0 392.0 338.0 1,107.0 1,203.0 402.0 811.0 673.0 248.0 223.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 77.0 55.0 71.0 89.0 52.0 54.0 83.0 87.0 78.0 66.0 60.0 78.0 69.0 51.0 70.0 99.0 83.0 85.0 81.0 61.0 86.0 54.0 78.0 3.0 2.0 2.0 1.0 1.0 3.0 2.0 1.0 1.0 3.0 2.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 3.0 2.0 2.0 3.0 1.0 1,307.0 246.0 1,266.0 1,312.0 161.0 853.0 339.0 514.0 659.0 1,441.0 172.0 395.0 264.0 200.0 668.0 1,392.0 722.0 521.0 674.0 184.0 719.0 685.0 821.0 Data Explanation: Dependent Variable: Independent Variables: Family income/month Gender: English Level Activity Level: GPA: University ranking: Salary after graduation M: Male F: Female 1: Poor 2: Intermediate 3: Fluent 0: No pariticipation in any extra activities clubs/groups during university yea 1: Participated in extra activities clubs/groups - but as MEMBER only 2: Participated in extra activities clubs/groups - but as team LEADER Score band over 100 1: Low rank universities 2: Average rank universities 3: Top tiers universities /groups during university years but as MEMBER only but as team LEADER TABLE OF CONTENTS CONTENTS PAGE QUESTION 1 1.a Is the statement \"Americans commute to work less than 200 hours in 2010.\" possibly rejected? Explain............................................................................ 1.b Is the statement \"Americans commute to work less than 200 hours in 2014.\" possibly rejected? Explain............................................................................ 1.c Is there any difference in the average commuting time among comparable paired states within the U.S. in 2014 compared to that in 2010? Is there any increase in the average commuting time among states between 2010 and 2014? Explain.................................................................................... ......................... (2) (2) (3) QUESTION 2 2.a Determine the dependent and independent variables and formulate the regression model.................................................................................... ..................... 2.b Test the validity of regression model ................................................................ 2.c Conduct the F test of multiple regression mod............................................... 2.d Examine how good the regression model is.................................................... 2.e Conduct test of the significance of individual regression parameters........ 2.f Establish the estimated regression model of dependent variable on the independent variables................................................................................. .............. NAME ID PERFORMANCE Trng Th Thy Vn BABAIU14326 Question1 (6) (6) (8) (9) (10) EVALUATION [Signature] 100% 1 Nguyn Trn Tho Nguyn 100% BAFNIU14090 Question1 100% Nguyn Phan Bo Trn BABAIU14286 Hunh Th Vi Na BABAIU14159 Question2-a,c,d Question2-b,e,f 100% 2 Question 1: According to Brookings Institution (2015), there has been change in the U.S. commute patterns since 2000 because of the increase in the share of workers at home and the search for alternate transportation options, which leads to the study interests in the change in average commuting time. The survey, subsequently, by American Community Survey (ACS) was taken over 52 states within the U.S. Use two available are mean daily travel-towork time (in minutes) 2010 and 2014. Assume that the two populations are normally distributed n=52, =24.02115385, s=3.635842084, x = 0.05 The statement \"Americans commute to work less than 200 hours in 2010.\" So Americans were spending fewer 200 hours to travel in 2010. 200hours/ year= 32.8767 minutes/ day Hypothesized: H0 : H1 : 2010 2010 32.8767 < 32.8767 The test statistic value: zt x 0 = -17.56353823 s/ n The critical value approach At = 0.05, the critical value z c =z =1.644853627 Because zt< zc, at 0.05 level of significance, we can reject H0. Conclusion: The statement \"Americans commute to work less than 200 hours in 2010\" is true. It means this statement cannot be rejected. n=52, = 23.55576923, s=3.58446613, x = 0.05 The statement \"Americans commute to work less than 200 hours in 2014.\" So Americans were spending fewer 200 hours to travel in 2014. 200hours/ year= 32.8767 minutes/ day Hypothesized: 3 H0 : H1 : 2014 2014 32.8767 < 32.8767 The test statistic value zt x 0 =-18.75151981 s/ n The critical value approach At = 0.05, the critical value z c =z =1.644853627 Because zt< zc, at 0.05 level of significance, we can reject H0. Conclusion: The statement \"Americans commute to work less than 200 hours in 2014\" is true. It means this statement cannot be rejected. a No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Geographical Area Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware District of Columbia Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Mean daily travel-to-work time (in minutes) 2010 24.3 18.9 24.7 21.4 27.6 24.6 25.1 25.2 29.8 26.1 27.2 26.4 20.2 28.2 23.3 18.9 19.1 22.8 25 23.5 32.2 28.3 24.1 2014 23.9 18.1 24.8 21.1 26.9 24.2 24.6 24.1 29.3 25.7 27 25.9 20.1 28.1 22.8 18.5 18.8 22.5 25 22.8 31.3 27.3 23.7 Difference 0.4 0.8 -0.1 0.3 0.7 0.4 0.5 1.1 0.5 0.4 0.2 0.5 0.1 0.1 0.5 0.4 0.3 0.3 0 0.7 0.9 1 0.4 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming Puerto Rico 23 24 23.1 18.3 18.2 23.8 26.6 30.7 21.7 31.9 23.7 17.1 23.1 21.2 22.7 26.1 23.8 23.8 16.9 24.4 25.2 21.6 22.3 27.8 25.9 25.6 21.8 18.3 29.6 22.4 23.9 23.2 17.7 17.9 23.6 25.5 29.8 21.7 31.3 23.4 16 22.7 20.7 22.1 25.5 22.9 23.2 16.5 23.9 24.8 21.2 21.5 27.1 25.4 25.4 21.3 18.5 29.3 0.6 0.1 -0.1 0.6 0.3 0.2 1.1 0.9 0 0.6 0.3 1.1 0.4 0.5 0.6 0.6 0.9 0.6 0.4 0.5 0.4 0.4 0.8 0.7 0.5 0.2 0.5 -0.2 0.3 Calculating the mean and standard deviation of the differences gives: D =0.465384615 and sD = 0.309892211 Is there any difference in the average commuting time among comparable paired states within the U.S. in 2014 compared to that in 2010? The process of the test will be shown below, with the significant level 0.05 Step 1: The population of differences is assumes to be normally distributed Step 2: State the null and alternative hypothesis H0 : =0 D 5 H1 : D 0 Step 3: In oder to test this statistic, we use Comparisons of Means Using PairedObservation to test it with large sample n= 52. Because the sample n is greater than 30 so we use z test The test statistic value z t= DD o SD n = 10.82936604 Step 4: The critical value approach At = 0.05, the critical value z c =z = zt zc , zc 1.945 We can reject H0 Conclusion: From the test using Paired-observations comparison, there is difference in the average commuting time among comparable paired states within the U.S in 2014 compared to that in 2010. Is there any increase in the average commuting time among states between 2010 and 2014? Let 1 be the average commuting time in 2010, 2 be the average commuting time in 2014. Calculating the means and variances of two samples: x 1 = 24.02115385; x 2 = 23.55576923; s 2 1 = 13.21934766; s 2 2 = 12.84839744 The process of the test will be shown below, with the significant level 0.05 Step 1: The population of differences is assumes to be normally distributed Step 2: State the null and alternative hypothesis H0: H1: 1 - 1 - 2 0 2 0 6 Step 3: In oder to test this statistic, we use Comparisons of Two population means using Independent random sample to test it with large sample n1 = n2 = 52. Because 1 and 2 are known, we use z distribution. The test statistic value: zt ( x1 x2 ) ( 1 2 ) = 0.657297471 s12 s22 n1 n2 At = 0.05, the critical value: zc = - z = - 1.644853627 Because zT > zC, we cannot reject H0. Conclusion: There is not increase in the average commuting time among states between 2010 and 2014. Question 2: International University The student satisfaction is a considerable matter of concern which enhances the development in institutions pursuing \"continuous improvement\". At International University, the placement director is interested in the effects that five factors: lecturing and tutoring, curriculum content, program schedule, collegiality, facilities and amenities might have on the student satisfaction. As a result, a survey of 120 random students has been taken based on Likert-scale from 1 to 5 (1 = very low to 5 = very high), with the results shown in the Appendix - Table 2 (attached MS Excel file). Use the available data and respective statistical tools to verify the regression relationship of the student satisfaction on the five mentioned factors. a. Determine the dependent and independent variables and formulate the regression model. According to the information above, we can determine the dependent variable is Student Satisfaction and the independent variables are lecturing and tutoring, curriculum content, program schedule, collegiality, facilities and amenities. Based on the data that we run the regression model, we have a table: Intercept Lecturing Curriculum Program Collegiality and content schedule tutoring Facilities and amenities 7 b 0.67435 0.15465 0.1567 0.2792 0.1541 0.1107 Let the independent variable X1, X2, X3, X4, X5 be the Lecturing and tutoring, Curriculum content, Program schedule, Collegiality, Facilities and amenities; and dependent variable Y be Student Satisfaction. Therefore, we have the population regression model of a dependent variable Y on a set of 5 independent variables X1, X2, X3, X4, X5 is given by Y= 0.67435+ 0.15465X1+ 0.1567X2+ 0.2792X3+ 0.1541X4+ 0.1107X5+ b. Test the validity of regression model by tests of heteroscedasticity, normality, and multicollinearity. Y= 0.67435+ 0.15465X1+ 0.1567X2+ 0.2792X3+ 0.1541X4+ 0.1107X5+ ASSUMPTION: The random errors _ are normally distributed with mean zero and a constant variance.2. Test of heteroscedasticity: in this test, we check one of assumptions whether the variance of the random errors () is constant To check the Equality of Variance, we consider a graph of the regression errors, the residuals, versus each independent variable X and versus the predicted values Y. 1.5 Residual Residual Plot 1 1.5 0.5 1 0.5 0 -0.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 Residual 0 -0.5 -1 -1.5 Residuals versus Lecturing and tutoring X1 The width of the scatter plot of the residuals increases or decreases randomly as X increases, then the assumption of constant variance is met 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 -1 -1.5 Residuals versus Program schedule X2 The width of the scatter plot of the residuals increases or decreases randomly as X increases, then the assumption of constant variance is met 8 Residual 1.5 1.5 1 1 0.5 0.5 0 -0.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 Residual 0 -0.5 -1 -1 -1.5 -1.5 Residuals versus Collegiality X3 The width of the scatter plot of the residuals increases or decreases randomly as X increases, then the assumption of constant variance is met 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 Residuals versus Facilities and amenities X4 The width of the scatter plot of the residuals increases or decreases randomly as X i