Question
Read three variables from the Bumpus data set, which is available in the Data folder. Creatively, show plots of pairs of variables and a 3D
Read three variables from the Bumpus data set, which is available in the Data folder. Creatively, show plots of pairs of variables and a 3D visualization.
sex,surv,totlen,wingext,wgt,head,humer,femur,tibio,skull,stern
male,alive,154,241,24.5,31.2,0.687,0.668,1.022,0.587,0.83
male,alive,160,252,26.9,30.8,0.736,0.709,1.18,0.602,0.841
male,alive,155,243,26.9,30.6,0.733,0.704,1.151,0.602,0.846
male,alive,154,245,24.3,31.7,0.741,0.688,1.146,0.584,0.839
male,alive,156,247,24.1,31.5,0.715,0.706,1.129,0.575,0.821
male,alive,161,253,26.5,31.8,0.78,0.743,1.144,0.607,0.893
male,alive,157,251,24.6,31.1,0.741,0.736,1.153,0.61,0.862
male,alive,159,247,24.2,31.4,0.728,0.718,1.126,0.609,0.793
male,alive,158,247,23.6,29.8,0.703,0.673,1.079,0.602,0.82
male,alive,158,252,26.2,32,0.749,0.739,1.153,0.614,0.857
male,alive,160,252,26.2,32,0.741,0.723,1.129,0.624,0.892
male,alive,162,253,24.8,32.3,0.766,0.752,1.134,0.633,0.923
male,alive,161,243,25.4,31.8,0.721,0.722,1.126,0.597,0.891
male,alive,160,250,23.7,29.8,0.73,0.703,1.103,0.59,0.82
male,alive,159,247,25.7,31.4,0.729,0.717,1.141,0.592,0.927
male,alive,158,253,25.7,31.9,0.743,0.699,1.15,0.6,0.86
male,alive,159,247,26.5,31.6,0.733,0.714,1.155,0.611,0.923
male,alive,166,253,26.7,32.5,0.767,0.765,1.23,0.6,0.878
male,alive,159,247,23.9,31.4,0.752,0.723,1.113,0.602,0.825
male,alive,160,248,24.7,31.3,0.752,0.737,1.176,0.603,0.803
male,alive,161,252,28,31.8,0.77,0.731,1.19,0.59,0.885
male,alive,163,251,27.9,31.9,0.769,0.745,1.168,0.622,0.86
male,alive,156,242,25.9,32,0.723,0.711,1.116,0.609,0.886
male,alive,165,251,25.7,32.2,0.751,0.742,1.161,0.613,0.865
male,alive,160,247,26.6,32.4,0.728,0.707,1.108,0.59,0.836
male,alive,158,244,23.2,31.6,0.73,0.713,1.142,0.585,0.888
male,alive,160,242,25.7,31.6,0.709,0.705,1.124,0.62,0.788
male,alive,157,245,26.3,32.2,0.741,0.726,1.143,0.595,0.85
male,alive,159,244,24.3,31.5,0.723,0.698,1.107,0.615,0.847
male,alive,160,253,26.7,32.1,0.739,0.714,1.117,0.592,0.864
male,alive,158,245,24.9,31.4,0.726,0.703,1.119,0.58,0.854
male,alive,161,247,23.8,31.4,0.735,0.694,1.101,0.602,0.789
male,alive,160,247,25.6,32.3,0.756,0.745,1.135,0.607,0.902
male,alive,160,247,27,32,0.755,0.736,1.174,0.631,0.873
male,alive,153,241,24.7,32.2,0.728,0.68,1.092,0.592,0.884
male,dead,165,249,26.5,31,0.738,0.701,1.095,0.606,0.847
male,dead,160,245,26.1,32,0.736,0.709,1.109,0.611,0.842
male,dead,161,249,25.6,32.3,0.743,0.718,1.128,0.602,0.828
male,dead,162,246,25.9,32.3,0.738,0.709,1.135,0.607,0.869
male,dead,163,250,25.5,32.5,0.752,0.731,1.197,0.623,0.888
male,dead,162,247,27.6,31.8,0.731,0.719,1.113,0.597,0.869
male,dead,163,246,25.8,31.4,0.689,0.662,1.073,0.604,0.836
male,dead,161,246,24.9,30.5,0.739,0.726,1.138,0.58,0.803
male,dead,160,242,26,31,0.745,0.713,1.105,0.6,0.803
male,dead,162,246,26.5,31.5,0.72,0.696,1.092,0.606,0.809
male,dead,160,249,26,31.4,0.726,0.689,1.097,0.602,0.85
male,dead,161,250,27.1,31.6,0.737,0.711,1.12,0.631,0.852
male,dead,162,248,25.1,31.9,0.744,0.722,1.154,0.591,0.839
male,dead,165,252,26,32.3,0.726,0.71,1.145,0.609,0.887
male,dead,161,243,25.6,32.5,0.709,0.707,1.122,0.607,0.832
male,dead,161,244,25,31.3,0.702,0.685,1.082,0.595,0.874
male,dead,162,248,24.6,31,0.713,0.7,1.086,0.59,0.837
male,dead,164,244,25,31.2,0.703,0.69,1.074,0.608,0.795
male,dead,158,247,26,32,0.729,0.71,1.145,0.607,0.803
male,dead,162,253,28.3,31.8,0.752,0.718,1.152,0.6,0.857
male,dead,156,239,24.6,30.5,0.659,0.658,1.042,0.57,0.81
male,dead,166,251,27.5,31.5,0.72,0.691,1.118,0.612,0.847
male,dead,165,253,31,32.4,0.765,0.75,1.183,0.613,0.905
male,dead,166,250,28.3,32.4,0.754,0.718,1.179,0.607,0.916
male,alive,156,246,24.6,32,0.741,0.735,1.167,0.592,0.849
male,alive,156,245,25.5,32.1,0.761,0.717,1.147,0.62,0.816
male,alive,163,248,24.8,32.2,0.742,0.733,1.165,0.606,0.854
male,alive,163,248,26.3,33,0.736,0.704,1.148,0.609,0.839
male,alive,160,250,24.4,31.5,0.746,0.715,1.173,0.604,0.893
male,alive,156,237,23.3,30.6,0.692,0.664,1.011,0.588,0.774
male,alive,162,253,26.7,32,0.759,0.734,1.197,0.63,0.878
male,alive,163,254,26.4,32,0.766,0.75,1.165,0.605,0.886
male,alive,164,251,26.9,32,0.755,0.742,1.171,0.62,0.886
male,alive,163,244,24.3,31.3,0.718,0.68,1.082,0.61,0.892
male,alive,160,247,27,31.5,0.764,0.732,1.177,0.617,0.846
male,alive,160,250,26.8,32.5,0.764,0.729,1.123,0.635,0.842
male,alive,158,247,24.9,32.4,0.745,0.724,1.139,0.588,0.865
male,alive,158,249,26.1,32.2,0.742,0.736,1.148,0.602,0.817
male,alive,158,243,26.6,32.4,0.747,0.711,1.163,0.612,0.891
male,alive,155,237,23.3,30.2,0.685,0.653,1.011,0.587,0.794
male,dead,160,249,24.2,30.4,0.74,0.717,1.13,0.62,0.84
male,dead,156,236,26.8,30,0.69,0.671,1.067,0.563,0.832
male,dead,158,240,23.5,31,0.715,0.702,1.113,0.595,0.805
male,dead,166,245,26.9,31.7,0.715,0.695,1.107,0.601,0.847
male,dead,165,255,28.6,31.5,0.766,0.744,1.175,0.613,0.854
male,dead,157,238,24.7,31.2,0.68,0.677,1.156,0.599,0.769
male,dead,164,250,27.3,31.8,0.764,0.726,1.171,0.588,0.86
male,dead,166,256,25.7,31.7,0.752,0.751,1.187,0.595,0.858
male,dead,167,255,29,32.2,0.765,0.745,1.197,0.638,0.855
male,dead,161,246,25,31.5,0.739,0.707,1.123,0.587,0.85
male,dead,166,254,27.5,31.4,0.76,0.742,1.124,0.604,0.914
male,dead,161,251,26,31.5,0.731,0.707,1.122,0.589,0.828
female,alive,156,245,25.3,31.6,0.729,0.71,1.152,0.62,0.809
female,alive,154,240,22.6,30.4,0.705,0.686,1.103,0.584,0.77
female,alive,153,240,25.1,31,0.724,0.713,1.123,0.585,0.812
female,alive,153,236,23.2,30.9,0.698,0.678,1.132,0.596,0.795
female,alive,155,243,24.4,31.5,0.734,0.736,1.17,0.596,0.801
female,alive,163,247,25.1,32,0.748,0.734,1.166,0.602,0.821
female,alive,157,238,24.6,30.9,0.726,0.727,1.175,0.588,0.797
female,alive,155,239,24,32.8,0.732,0.742,1.175,0.601,0.835
female,alive,164,248,24.2,32.7,0.752,0.752,1.201,0.604,0.83
female,alive,158,238,24.9,31,0.741,0.689,1.091,0.592,0.866
female,alive,158,240,24.1,31.3,0.733,0.706,1.107,0.591,0.867
female,alive,160,244,24,31.1,0.731,0.73,1.152,0.589,0.808
female,alive,161,246,26,32.3,0.758,0.732,1.154,0.623,0.859
female,alive,157,245,24.9,32,0.752,0.74,1.186,0.593,0.787
female,alive,157,235,25.5,31.5,0.712,0.704,1.132,0.611,0.781
female,alive,156,237,23.4,30.9,0.708,0.691,1.123,0.613,0.798
female,alive,158,244,25.9,31.4,0.729,0.705,1.146,0.597,0.851
female,alive,153,238,24.2,30.5,0.715,0.707,1.116,0.595,0.821
female,alive,155,236,24.2,30.3,0.727,0.705,1.12,0.585,0.79
female,alive,163,246,27.4,32.5,0.732,0.711,1.163,0.63,0.862
female,alive,159,236,24,31.5,0.709,0.713,1.129,0.607,0.845
female,dead,155,240,26.3,31.4,0.709,0.71,1.125,0.614,0.815
female,dead,156,240,25.8,31.5,0.715,0.678,1.127,0.597,0.812
female,dead,160,242,26,32.6,0.71,0.732,1.157,0.597,0.854
female,dead,152,232,23.2,30.3,0.676,0.683,1.048,0.59,0.78
female,dead,160,250,26.5,31.7,0.741,0.731,1.187,0.615,0.886
female,dead,155,237,24.2,31,0.727,0.723,1.118,0.61,0.787
female,dead,157,245,26.9,32.2,0.766,0.751,1.227,0.62,0.841
female,dead,165,245,27.7,33.1,0.78,0.757,1.195,0.633,0.895
female,dead,153,231,23.9,30.1,0.68,0.662,1.042,0.592,0.781
female,dead,162,239,26.1,30.3,0.709,0.685,1.092,0.587,0.911
female,dead,162,243,24.6,31.6,0.741,0.729,1.162,0.605,0.84
female,dead,159,245,23.6,31.8,0.727,0.7,1.129,0.61,0.855
female,dead,159,247,26,30.9,0.711,0.666,1.098,0.58,0.749
female,dead,155,243,25,30.9,0.73,0.711,1.127,0.598,0.839
female,dead,162,252,24.8,31.9,0.752,0.738,1.18,0.615,0.875
female,dead,152,230,22.8,30.4,0.682,0.664,1.042,0.551,0.734
female,dead,159,242,24.8,30.8,0.717,0.667,1.09,0.575,0.809
female,dead,155,238,24.6,31.2,0.706,0.702,1.102,0.588,0.758
female,dead,163,249,30.5,33.4,0.767,0.767,1.207,0.64,0.896
female,dead,163,242,24.8,31,0.713,0.713,1.128,0.607,0.813
female,dead,156,237,23.9,31.7,0.718,0.716,1.09,0.611,0.8
female,dead,159,238,24.7,31.5,0.726,0.701,1.145,0.6,0.8
female,dead,161,245,26.9,32.1,0.751,0.704,1.142,0.607,0.819
female,dead,155,235,22.6,30.7,0.695,0.692,1.119,0.584,0.771
female,dead,162,247,26.1,31.9,0.751,0.735,1.157,0.618,0.802
female,dead,153,237,24.8,30.6,0.732,0.718,1.172,0.594,0.802
female,dead,162,245,26.2,32.5,0.728,0.731,1.102,0.614,0.832
female,dead,164,248,26.1,32.3,0.739,0.707,1.159,0.592,0.823
1. Verify how the Central Limit Theorem explains the standardized sum to two random variables with Uniform distribution. Notice that you must compute the correct mean and variance of the sum. How does the density of a standard Gaussian random variable fit the histogram? Show and analyze the quantile-quantile plot of these data.
Step by Step Solution
3.39 Rating (152 Votes )
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Document Format ( 2 attachments)
63659d82bc9de_236455.pdf
180 KBs PDF File
63659d82bc9de_236455.docx
120 KBs Word File
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started
Probability & Statistics For Engineers & Scientists
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying
7th Edition
9789813131279, 130415294, 9813131276, 978-0130415295
