2. (1 points) Run a multiple regression with Budget (X1), Opening (X2) and Theaters (X3) as explanatory variables, and USRevenue as response variable. Write down your fitted model. Lets call this model 1. Model 1: USRevenue = 0 + 1Budget + 2Opening + 3T heaters

3. (1 points) Comment on how well your linear model fits the data in terms of R2 .

4. (2 points) Print out the linear regression results, including the estimated regression coefficients, its standard error, t statistic, and P-value. Comment on the t-tests on model 1. For example, are 1, 2, and 3 significantly different from zero, at significance level 0.05? 1

A1 X Vfx Title E F 0 Rating1 A B D 1 Title USRelease Genre Rating "The Core" 28/03/2003 Adventure PG-13 3 "x2" 2/5/03 Action PG-13 4 "The Matrix | 15/05/2003 Action R "The Hollywi 13/06/2003 Action PG-13 6 "Terminator 1/7/03 Action R 7 "The League 11/7/03 Adventure PG-13 8 "The Rundov 26/09/2003 Action PG-13 9 "Looney Tun 14/11/2003 Comedy PG 10 "the Cat in th 21/11/2003 Comedy PG 11 "Lord of the 17/12/2003 Adventure PG-13 12 "Mona Lisa S 19/12/2003 Drama PG-13 13 "Cold Mount 25/12/2003 Drama R 14 "The Stepfor 11/6/04 Comedy PG-13 15 "Catwoman' 23/07/2004 Action PG-13 16 "Lemony Sni 17/12/2004 Comedy PG 17 "Robots" 11/3/05 Adventure PG 18 "Star Wars: F 19/05/2005 Adventure PG-13 19 "The Longest 27/05/2005 Comedy PG-13 20 "Madagascar 27/05/2005 Adventure PG 21 "Oliver Twist 23/09/2005 Drama PG-13 22 "Legend of Z 28/10/2005 Adventure PG 23 "Harry Potte 18/11/2005 Adventure PG-13 24 "The Pink Pa 10/2/06 Comedy PG 25 "Ice Age: The 31/03/2006 Adventure PG 26 "Mission: Im 5/5/06 Action PG-13 27 "Click" 23/06/2006 Comedy PG-13 28 "Pirates oftt 7/7/06 Adventure PG-13 29 "Miami Vice 28/07/2006 Action R 30 "Open Seaso 29/09/2006 Adventure PG 31 "dj vu" 22/11/2006 Thriller/Susp PG-13 32 "The Holiday 8/12/06 Romantic Cc PG-13 33 "Spider-Man 4/5/07 Adventure PG-13 34 "Hairspray" 20/07/2007 Musical PG 35 "The Simpso 27/07/2007 Comedy PG-13 36 "The Matrix ! 5/11/03 Action R 37 "The Invasio 17/08/2007 Thriller/Susp PG-13 38 "The Kingdo: 28/09/2007 Action R 39 "Finding Ner 30/05/2003 Adventure G 40 "Beowulf" 16/11/2007 Adventure PG-13 41 "His Dark Ma 7/12/07 Adventure PG-13 42 boxoffice Production Sequel 1 Live Action 1 Live Action 1 Animation/L / 1 Live Action 1 Animation/L 1 Live Action 1 Live Action 0 Live Action 0 Live Action 1 Animation/L 1 Live Action 1 Live Action 1 Live Action 1 Live Action O Live Action O Digital Anim 1 Animation/ 1 Live Action O Digital Anim 1 Live Action o Live Action 1 Animation/L 0 Live Action 0 Digital Anim 1 Live Action 1 Live Action 1 Live Action 1 Live Action o Digital Anim 1 Live Action 1 Live Action 1 1 Live Action 0 Live Action 1 Digital Anim 1 Live Action 1 Live Action 1 Live Action 0 Digital Anim 1 Digital Anim 1 Live Action H J L M N Budget Opening Theaters USRevenue IntRevenue World Reven Profit 0 85 12.053131 3017 31.11126 43.021371 74.132631 1 125 85.558731 3741 214.94969 191.45082 406.40051 1 127 91.774413 3603 281.55369 457.02324 738.57693 0 75 11.112632 2840 30.207785 20.9 51.107785 1 170 44.04144 3504 150.3583 282.7 433.0583 0 78 23.075892 3002 66.4626 112.8 179.2626 0 85 18.533765 3152 47.641743 33.19015 80.831893 0 80 9.317371 2903 20.95082 33.589842 54.540662 0 109 38.32916 3464 101.01828 32.8 133.81828 1 94 72.629713 3703 377.02733 756 1133.0273 0 0 65 11.528498 2677 63.8031 57.795209 121.59831 0 80 14.574213 2163 95.632614 66 161.63261 0 100 21.406781 3057 59.475623 36.746348 96.221971 0 100 16.728411 3117 40.19871 33.689193 73.887903 0 100 30.061756 3620 118.62712 83 201.62712 0 80 36.045301 3776 128.20001 132.5 260.70001 1 115 108.43584 3661 380.27058 468.72824 848.99882 0 82 47.60648 3634 158.11946 32.201108 190.32057 0 75 47.224594 4131 193.20293 334.8 528.00293 0 65 17.453216 2689 2.07092 24.6 26.67092 1 80 16.328506 3520 45.575336 95.9 141.47534 1 150 102.33507 3858 290.01304 606 896.01304 0 80 20.220412 3477 82.226474 76.7 158.92647 1 75 68.033544 3964 195.33062 452 647.33062 1 150 47.743273 4054 133.50135 264 397.50135 0 82.5 40.011365 3749 137.35563 100.2 237.55563 1 150 135.63455 4133 423.31581 642.344 1065.6598 0 0 135 25.723815 3021 63.478838 100.33972 163.81856 0 85 23.624548 3833 84.303558 104.8 189.10356 0 80 20.574802 3108 64.038616 117 181.03862 0 85 12.778913 2610 63.28 141.91032 205.19032 1 258 151.11652 4252 336.5303 555.4 891.9303 0 75 27.476745 3121 118.82309 88 206.82309 0 72.5 74.036787 3922 183.13501 343.73518 526.87019 1 110 48.475154 3502 139.25976 285 424.25976 0 80 5.951409 2776 15.074191 25.072851 40.147042 0 72.5 17.135055 2793 47.46725 39.042352 86.509602 0 94 70.25171 3374 339.71498 526.878 866.59298 0 150 27.515871 3153 82.195215 112.8 194.99522 0 205 25.783232 3528 70.107728 295.59377 365.70149 LOpening 0 2.4893245 1 4.4492031 1 4.5193335 0 2.4080825 0 3.785131 0 3.1387884 0 2.9195942 0 2.2318805 0 3.646211 1 4.2853741 0 2.4448221 1 2.6792537 03.0637077 0 2.8171085 1 3.4032538 1 3.5847765 1 4.6861587 1 3.8629689 1 3.8549148 0 2.8595239 0 2.7929124 1 4.6282524 1 3.0066926 1 4.2200009 0 3.8658382 1 3.6891635 1 4.9099642 0 3.2474172 03.1622863 03.0240671 0 2.5477964 1 5.0180512 1 3.31334 1 4.3045621 1 3.8810514 0 1.783628 0 2.8411264 1 4.2520847 0 3.314763 0 3.2497244 A1 X Vfx Title E F 0 Rating1 A B D 1 Title USRelease Genre Rating "The Core" 28/03/2003 Adventure PG-13 3 "x2" 2/5/03 Action PG-13 4 "The Matrix | 15/05/2003 Action R "The Hollywi 13/06/2003 Action PG-13 6 "Terminator 1/7/03 Action R 7 "The League 11/7/03 Adventure PG-13 8 "The Rundov 26/09/2003 Action PG-13 9 "Looney Tun 14/11/2003 Comedy PG 10 "the Cat in th 21/11/2003 Comedy PG 11 "Lord of the 17/12/2003 Adventure PG-13 12 "Mona Lisa S 19/12/2003 Drama PG-13 13 "Cold Mount 25/12/2003 Drama R 14 "The Stepfor 11/6/04 Comedy PG-13 15 "Catwoman' 23/07/2004 Action PG-13 16 "Lemony Sni 17/12/2004 Comedy PG 17 "Robots" 11/3/05 Adventure PG 18 "Star Wars: F 19/05/2005 Adventure PG-13 19 "The Longest 27/05/2005 Comedy PG-13 20 "Madagascar 27/05/2005 Adventure PG 21 "Oliver Twist 23/09/2005 Drama PG-13 22 "Legend of Z 28/10/2005 Adventure PG 23 "Harry Potte 18/11/2005 Adventure PG-13 24 "The Pink Pa 10/2/06 Comedy PG 25 "Ice Age: The 31/03/2006 Adventure PG 26 "Mission: Im 5/5/06 Action PG-13 27 "Click" 23/06/2006 Comedy PG-13 28 "Pirates oftt 7/7/06 Adventure PG-13 29 "Miami Vice 28/07/2006 Action R 30 "Open Seaso 29/09/2006 Adventure PG 31 "dj vu" 22/11/2006 Thriller/Susp PG-13 32 "The Holiday 8/12/06 Romantic Cc PG-13 33 "Spider-Man 4/5/07 Adventure PG-13 34 "Hairspray" 20/07/2007 Musical PG 35 "The Simpso 27/07/2007 Comedy PG-13 36 "The Matrix ! 5/11/03 Action R 37 "The Invasio 17/08/2007 Thriller/Susp PG-13 38 "The Kingdo: 28/09/2007 Action R 39 "Finding Ner 30/05/2003 Adventure G 40 "Beowulf" 16/11/2007 Adventure PG-13 41 "His Dark Ma 7/12/07 Adventure PG-13 42 boxoffice Production Sequel 1 Live Action 1 Live Action 1 Animation/L / 1 Live Action 1 Animation/L 1 Live Action 1 Live Action 0 Live Action 0 Live Action 1 Animation/L 1 Live Action 1 Live Action 1 Live Action 1 Live Action O Live Action O Digital Anim 1 Animation/ 1 Live Action O Digital Anim 1 Live Action o Live Action 1 Animation/L 0 Live Action 0 Digital Anim 1 Live Action 1 Live Action 1 Live Action 1 Live Action o Digital Anim 1 Live Action 1 Live Action 1 1 Live Action 0 Live Action 1 Digital Anim 1 Live Action 1 Live Action 1 Live Action 0 Digital Anim 1 Digital Anim 1 Live Action H J L M N Budget Opening Theaters USRevenue IntRevenue World Reven Profit 0 85 12.053131 3017 31.11126 43.021371 74.132631 1 125 85.558731 3741 214.94969 191.45082 406.40051 1 127 91.774413 3603 281.55369 457.02324 738.57693 0 75 11.112632 2840 30.207785 20.9 51.107785 1 170 44.04144 3504 150.3583 282.7 433.0583 0 78 23.075892 3002 66.4626 112.8 179.2626 0 85 18.533765 3152 47.641743 33.19015 80.831893 0 80 9.317371 2903 20.95082 33.589842 54.540662 0 109 38.32916 3464 101.01828 32.8 133.81828 1 94 72.629713 3703 377.02733 756 1133.0273 0 0 65 11.528498 2677 63.8031 57.795209 121.59831 0 80 14.574213 2163 95.632614 66 161.63261 0 100 21.406781 3057 59.475623 36.746348 96.221971 0 100 16.728411 3117 40.19871 33.689193 73.887903 0 100 30.061756 3620 118.62712 83 201.62712 0 80 36.045301 3776 128.20001 132.5 260.70001 1 115 108.43584 3661 380.27058 468.72824 848.99882 0 82 47.60648 3634 158.11946 32.201108 190.32057 0 75 47.224594 4131 193.20293 334.8 528.00293 0 65 17.453216 2689 2.07092 24.6 26.67092 1 80 16.328506 3520 45.575336 95.9 141.47534 1 150 102.33507 3858 290.01304 606 896.01304 0 80 20.220412 3477 82.226474 76.7 158.92647 1 75 68.033544 3964 195.33062 452 647.33062 1 150 47.743273 4054 133.50135 264 397.50135 0 82.5 40.011365 3749 137.35563 100.2 237.55563 1 150 135.63455 4133 423.31581 642.344 1065.6598 0 0 135 25.723815 3021 63.478838 100.33972 163.81856 0 85 23.624548 3833 84.303558 104.8 189.10356 0 80 20.574802 3108 64.038616 117 181.03862 0 85 12.778913 2610 63.28 141.91032 205.19032 1 258 151.11652 4252 336.5303 555.4 891.9303 0 75 27.476745 3121 118.82309 88 206.82309 0 72.5 74.036787 3922 183.13501 343.73518 526.87019 1 110 48.475154 3502 139.25976 285 424.25976 0 80 5.951409 2776 15.074191 25.072851 40.147042 0 72.5 17.135055 2793 47.46725 39.042352 86.509602 0 94 70.25171 3374 339.71498 526.878 866.59298 0 150 27.515871 3153 82.195215 112.8 194.99522 0 205 25.783232 3528 70.107728 295.59377 365.70149 LOpening 0 2.4893245 1 4.4492031 1 4.5193335 0 2.4080825 0 3.785131 0 3.1387884 0 2.9195942 0 2.2318805 0 3.646211 1 4.2853741 0 2.4448221 1 2.6792537 03.0637077 0 2.8171085 1 3.4032538 1 3.5847765 1 4.6861587 1 3.8629689 1 3.8549148 0 2.8595239 0 2.7929124 1 4.6282524 1 3.0066926 1 4.2200009 0 3.8658382 1 3.6891635 1 4.9099642 0 3.2474172 03.1622863 03.0240671 0 2.5477964 1 5.0180512 1 3.31334 1 4.3045621 1 3.8810514 0 1.783628 0 2.8411264 1 4.2520847 0 3.314763 0 3.2497244