Name:
Id#:
The last four digits of number must be between 3334 
                to 4999.  Each time you begin,  from the file menu,  
      select "kernel",  evaluation,  
      evaluate notebook .  Due :  02/21/00

Needs["Statistics`DescriptiveStatistics`"]

Needs["Statistics`DataManipulation`"]

Needs["Statistics`MultiDescriptiveStatistics`"]

Needs["Graphics`Graphics`"]

Needs["Graphics`MultipleListPlot`"]

Below is the data set for the  North Carolina yard .  The 
      first column of information is the name of the ship .  The 
      second column is the starting date of construction .  The third
       column is a measure of the yard' s experience in building 
      these ships .  It is the number of days between the date that
       the  first ship' s keel was laid and this ship' s 
      date .  The fourth variable is a measure of 
      productivity .  It is the number of days between the date the
       ship' s keel was laid and its launch date .   Following the
       data is a list of questions .

NC={
	{"Nathanael Greene  \
    \
   ", "05/22/41 ", 0 , 240 }, {
              "Zebulon B Vance  \
    \
    ", 
              "05/22/41 ", 0 , 198 }, {
              "Virginia Dare  \
    \
    \
  ", "05/28/41 ", 6 , 251 }, {
              "William Hooper  \
    \
     \
", "08/22/41 ", 92 , 183 }, {
              "Daniel Morgan  \
    \
    \
  ", "09/03/41 ", 104 , 186 }, {
              "Francis Marion  \
    \
     \
", "09/04/41 ", 105 , 199 }, {
              "Joseph Hewes  \
    \
    \
   ", "09/21/41 ", 122 , 188 }, {
              "John Penn  \
    \
    \
    \
  ", "09/23/41 ", 124 , 201 }, {
              "John C Calhoun  \
    \
     \
", "10/01/41 ", 132 , 207 }, {
              "Charles C Pinckney  \
     \
", "12/11/41 ", 203 , 150 }, {
              "John Cropper  \
    \
    \
   ", "01/20/42 ", 243 , 115 }, {
              "William Moultrie  \
    \
   ", "02/05/42 ", 259 , 106 }, {
              "Thomas Sumter  \
    \
    \
  ", "02/25/42 ", 279 , 95 }, {
              "Jeremiah Van Rensselaer  ", 
              "03/10/42 ", 292 , 89 }, {
              "Artemus Ward  \
    \
    \
   ", "03/24/42 ", 306 , 82 }, {
              "Edward Rutledge  \
    \
    ", 
              "03/30/42 ", 312 , 83 }, {
              "Abel Parker Upshur  \
     \
", "04/13/42 ", 326 , 76 }, {
              "William llawkins  \
    \
   ", "04/27/42 ", 340 , 67 }, {
              "Hugh Williamson  \
    \
    ", 
              "05/11/42 ", 354 , 57 }, {
              "William R Davie  \
    \
    ", 
              "05/18/42 ", 361 , 55 }, {
              "William Gaston  \
    \
     \
", "05/23/42 ", 366 , 57 }, {
              "William A Graham  \
    \
   ", "06/01/42 ", 375 , 55 }, {
              "James K Polk  \
    \
    \
   ", "06/08/42 ", 382 , 55 }, {
              "Alexander Martin  \
    \
   ", "06/15/42 ", 389 , 62 }, {
              "Thomas Pinckney  \
    \
    ", 
              "06/22/42 ", 396 , 62 }, {
              "Roger Williams  \
    \
     \
", "06/29/42 ", 403 , 62 }, {
              "John Drayton  \
    \
    \
   ", "07/04/42 ", 408 , 63 }, {
              "Richard D.Spaight  \
    \
  ", "07/08/42 ", 412 , 65 }, {
              "Samuel Ashe  \
    \
    \
    ", 
              "07/12/42 ", 416 , 67 }, {
              "Banjamin Williams  \
    \
  ", "07/19/42 ", 423 , 66 }, {
              "James Turner  \
    \
    \
   ", "07/26/42 ", 430 , 65 }, {
              "Nathaniel Alexander  \
    ", 
              "08/02/42 ", 437 , 63 }, {
              "David Stone  \
    \
    \
    ", 
              "08/16/42 ", 451 , 55 }, {
              "James B Richardson  \
     \
", "08/23/42 ", 458 , 53 }, {
              "Paul Hamilton  \
    \
    \
  ", "08/30/42 ", 465 , 51 }, {
              "Henry Middleton  \
    \
    ", 
              "09/05/42 ", 471 , 50 }, {
              "Benjamin Smith  \
    \
     \
", "09/11/42 ", 477 , 47 }, {
              "Cornelius Harnett  \
    \
  ", "09/11/42 ", 477 , 44 }, {
              "Collis P Huntington  \
    ", 
              "09/17/42 ", 483 , 45 }, {
              "Henry Bacon  \
    \
    \
    ", 
              "09/23/42 ", 489 , 43 }, {
              "Abner Nash  \
    \
    \
     \
", "10/04/42 ", 500 , 42 }, {
              "Joseph Alstan  \
    \
    \
  ", "10/10/42 ", 506 , 41 }, {
              "Paul Hamilton Hayne  \
    ", 
              "10/15/42 ", 511 , 40 }, {
              "Marshall Elliott  \
    \
   ", "10/20/42 ", 516 , 38 }, {
              "James Iredell  \
    \
    \
  ", "10/25/42 ", 521 , 35 }, {
              "Penelope Barker  \
    \
    ", 
              "10/28/42 ", 524 , 34 }, {
              "Alexander Lillington  \
   ", "11/02/42 ", 529 , 34 }, {
              "Richard Caswell  \
    \
    ", 
              "11/06/42 ", 533 , 34 }, {
              
              "Pocahontas  \
    \
    \
     \
", "11/11/42 ", 538 , 32 }, {
              "Christopher Gadsden  \
    ", 
              "11/15/42 ", 542 , 33 }, {
              "Betty Zane  \
    \
    \
     \
", "11/20/42 ", 547 , 32 }, {
              "James J Pettigrew  \
    \
  ", "11/24/42 ", 551 , 30 }, {
              "Daniel H Hill  \
    \
    \
  ", "11/27/42 ", 554 , 30 }, {
              "George Davis  \
    \
    \
   ", "11/29/42 ", 556 , 31 }, {
              "Walter Raleigh  \
    \
     \
", "12/01/42 ", 558 , 35 }, {
              "John Harvey  \
    \
    \
    ", 
              "12/06/42 ", 563 , 34 }, {
              "Robert Howe  \
    \
    \
    ", 
              "12/10/42 ", 567 , 34 }, {
              "Nathaniel Macon  \
    \
    ", 
              "12/13/42 ", 570 , 35 }, {
              "John Wright Stanly  \
     \
", "12/18/42 ", 575 , 32 }, {
              "Francis Nash  \
    \
    \
   ", "12/22/42 ", 579 , 30 }, {
              "Ephraim Brevard  \
    \
    ", 
              "12/24/42 ", 581 , 31 }, {
              "George E Badger  \
    \
    ", 
              "12/27/42 ", 584 , 30 }, {
              "Flora MacDonald  \
    \
    ", 
              "12/30/42 ", 587 , 31 }, {
              "James Sprunt  \
    \
    \
   ", "01/05/43 ", 593 , 29 }, {
              "Matt W Ransom  \
    \
    \
  ", "01/09/43 ", 597 , 28 }, {
              "Furnifield M Simmons  \
   ", "01/13/43 ", 601 , 28 }, {
              "Edward B Dudley  \
    \
    ", 
              "01/17/43 ", 605 , 27 }, {
              "Willie Jones  \
    \
    \
   ", "01/19/43 ", 607 , 28 }, {
              "William D Pender  \
    \
   ", "01/20/43 ", 608 , 29 }, {
              "James Moore  \
    \
    \
    ", 
              "01/21/43 ", 609 , 29 }, {
              "Alfred Moore  \
    \
    \
   ", "01/24/43 ", 612 , 29 }, {
              "Woodrow Wilson  \
    \
     \
", "01/26/43 ", 614 , 30 }, {
              "William D Moseley  \
    \
  ", "02/03/43 ", 622 , 30 }, {
              "David L Swain  \
    \
    \
  ", "02/06/43 ", 625 , 31 }, {
              "Jonathan Worth  \
    \
     \
", "02/11/43 ", 630 , 29 }, {
              "Matthew T Goldsboro  \
    ", 
              "02/13/43 ", 632 , 30 }, {
              "Elisha Mitchell  \
    \
    ", 
              "02/16/43 ", 635 , 30 }, {
              "Christopher Gale  \
    \
   ", "02/19/43 ", 638 , 30 }, {
              "William L Davidson  \
     \
", "02/22/43 ", 641 , 30 }, {
              "Walker Taylor  \
    \
    \
  ", "02/25/43 ", 644 , 31 }, {
              "Roger Moore  \
    \
    \
    ", 
              "02/28/43 ", 647 , 31 }, {
              "Robert Rowan  \
    \
    \
   ", "03/05/43 ", 652 , 32 }, {
              "Thomas W Bickett  \
    \
   ", "03/09/43 ", 656 , 31 }, {
              "Horace Williams  \
    \
    ", 
              "03/12/43 ", 659 , 31 }, {
              "Jose Bonifacio  \
    \
     \
", "03/16/43 ", 663 , 29 }, {
              "Thomas L Clingman  \
    \
  ", "03/18/43 ", 665 , 30 }, {
              "David CaIdwell  \
    \
     \
", "03/22/43 ", 669 , 28 }, {
              "Waigstill Avery  \
    \
    ", 
              "03/24/43 ", 671 , 29 }, {
              "Cornelia P Spencer  \
     \
", "03/29/43 ", 676 , 26 }, {
              "Walter Hines Page  \
    \
  ", "04/01/43 ", 679 , 26 }, {
              "Joseph A Brown  \
    \
     \
", "04/07/43 ", 685 , 23 }, {
              "Robert F Hoke  \
    \
    \
  ", "04/10/43 ", 688 , 24 }, {
              "Sallie S Cotton  \
    \
    ", 
              "04/13/43 ", 691 , 24 }, {
              "John Owac  \
    \
    \
    \
  ", "04/15/43 ", 693 , 25 }, {
              "Philip Doddridge  \
    \
   ", "04/18/43 ", 696 , 25 }, {
              "John Grier Hibben  \
    \
  ", "04/20/43 ", 698 , 25 }, {
              "Kemp P Battle  \
    \
    \
  ", "04/23/43 ", 701 , 25 }, {
              "Robert Dale Owen  \
    \
   ", "04/26/43 ", 704 , 25 }, {
              "John P Mitchell  \
    \
    ", 
              "04/28/43 ", 706 , 25 }, {
              "Charles D McIver  \
    \
   ", "05/01/43 ", 709 , 24 }, {
              "John D Morehead  \
    \
    ", 
              "05/05/43 ", 713 , 24 }, {
              "Hannis Taylor  \
    \
    \
  ", "05/08/43 ", 716 , 23 }, {
              "Edward Richardson  \
    \
  ", "05/11/43 ", 719 , 24 }, {
              "William T Barry  \
    \
    ", 
              "05/14/43 ", 722 , 25 }, {
              "Lee S Overman  \
    \
    \
  ", "05/16/43 ", 724 , 26 }, {
              "Thomas J Jarvis  \
    \
    ", 
              "05/19/43 ", 727 , 26 }, {
              "Joseph Leconte  \
    \
     \
", "05/22/43 ", 730 , 26 }, {
              "Arthur Dobbs  \
    \
    \
   ", "05/24/43 ", 732 , 27 }, {
              "John Lawson  \
    \
    \
    ", 
              "05/26/43 ", 734 , 29 }, {
              "Hilary A Herbert  \
    \
   ", "05/30/43 ", 738 , 28 }, {
              "Hutchinson I Cone  \
    \
  ", "05/31/43 ", 739 , 30 }, {
              "Lawrence D Tyson  \
    \
   ", "06/05/43 ", 744 , 28 }, {
              "David F Houston  \
    \
    ", 
              "06/09/43 ", 748 , 29 }, {
              "John Merrick  \
    \
    \
   ", "06/12/43 ", 751 , 29 }, {
              "Charles A Dana  \
    \
     \
", "06/15/43 ", 754 , 30 }, {
              "Clement Clay  \
    \
    \
   ", "06/18/43 ", 757 , 33 }, {
              "Thomas W Owen  \
    \
    \
  ", "06/21/43 ", 760 , 33 }, {
              "Richmond P Hobson  \
    \
  ", "06/25/43 ", 764 , 22 }, {
              "Chatham C Lyon  \
    \
     \
", "06/28/43 ", 767 , 29 }, {
              
              "James I McKay  \
    \
    \
  ", "07/01/43 ", 770 , 30 }, {
              "John N Maffitt  \
    \
     \
", "07/04/43 ", 773 , 31 }, {
              "George Durant  \
    \
    \
  ", "07/09/43 ", 778 , 29 }, {
              "Augustus S Merrimon  \
    ", 
              "07/12/43 ", 781 , 30 }, {
              "Montfort Stokes  \
    \
    ", 
              "07/16/43 ", 785 , 29 }, {
              "Thomas Pollock  \
    \
     \
", "07/22/43 ", 791 , 27 }, {
              "John Branch  \
    \
    \
    ", 
              "07/25/43 ", 794 , 27 }
		};

\(DefaultInputFormatType
    \`\(1)\)\ Compute\ descriptive\ statistics\ for\ the\ experience\ and\ 
      productivity\ variables\ 
      \((min, \ max, \ mean, \ median, \ standard\ deviation)\) . \ Use\ this
      \ information\ to\ prepare\ \ a\ one\ paragraph\ summary\ describing\ 
      the\ \(variables . \)\)

2) Based on the values of the median and mean,  
    prepare a one paragraph summary decribing the shape of the 
      distribution .

3) Using the ListPlot command,  
    show a graphic representation of the relationship between 
        experience and productivity .  Place experience on the x - 
      axis .  Prepare a one paragraph summary describing this 
        relationship .

4) Compute the correlation value between experience and 
      productivity .  Prepare a one paragraph summary interpreting this
       value .

\(\(\(\(\(5)\)\ Compute\ the\ estimated\ parameters\ of\ a\ regression\ 
              model . \ Experience\ is\ the\ x\ \((or\ independent)\)\ 
              variable, \ 
            Productivity\ is\ the\ y\ \((or\ dependent)\)\ 
              variable . 
		
			Using\ the\ model, 
            answer\ the\ following\ \((in\ words)\) . 
a)\)\ How\ many\ days
          \ does\ the\ model\ predict\ it\ will\ take\ a\ new\ yard\ 
          \((that\ is\ , \ a\ yard\ with\ no\ experience)\)\ to\ produce\ a\ 
          ship?
b)\)\ As\ experience\ increases\ , \ 
    how\ many\ days\ does\ productivity\ \(change?\)\ \)\)