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ASSIGNMENT: Pick SIX pairs of variables and determine their relationships. You may not use any one variable more than twice. Your document should have 6

ASSIGNMENT: Pick SIX pairs of variables and determine their relationships. You may not use any one variable more than twice.

Your document should have 6 parts. For each pair of variables (all 6 pair of them):

  • a. Selection: Choose the variables
  • b. Display: Show a visual representation of the apparent relationship;
  • c. Discussion: Write a paragraph describing and discussing that relationship.

Some tips: You are to make two (2) scatterplots, two (2) side-by-side boxplots and 2 additional visual displays (another scatterplot or side-by-side boxplot or comparative bar plot). Choose your pairs of variables so that these displays are appropriate for them. For example, number each of your displays (all 6 of them), and then for the variables shown in the scatterplots, write one paragraph explaining the relationship, using your calculated correlation coefficient, and saying why you believe the relationship is a causal one (one variable explains the data in the second variable) or why you think the 'relationship' is not causal--that is, that there is another reason for the apparent relationship. If there is NO obvious relationship, explain why that is true. For the variables in the side-by-side boxplots describe their relationship using the appropriate measures of center and spread and position, along with any skewing or outliers.

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Year,Gender,Award,HigherSAT,Height,Weight,Siblings,BirthOrder,VerbalSAT,MathSAT,SAT,GPA,Piercings Sophomore,F,Olympic,Verbal,66,145,1,1,620,620,1240,3.29,2 FirstYear,F,Nobel,Verbal,68,140,0,1,800,670,1470,3.69,2 Sophomore,M,Olympic,Math,71,155,2,2,510,650,1160,2.65,0 Senior,M,Olympic,Math,70,155,1,2,620,690,1310,3.25,0 Sophomore,M,Olympic,Verbal,66,155,1,1,670,650,1320,2.8,0 Sophomore,F,Nobel,Verbal,65,135,2,3,560,510,1070,3.36,2 Junior,M,Nobel,Verbal,70,165,1,1,630,600,1230,2.97,0 FirstYear,M,Academy,Math,71,160,2,1,590,740,1330,3.31,0 Sophomore,M,Nobel,Verbal,71,175,1,1,630,620,1250,3.05,0 Sophomore,M,Olympic,Math,70,183,3,2,470,500,970,2.2,4 Sophomore,F,Nobel,Verbal,65,140,2,3,550,540,1090,3.3,4 Sophomore,F,Nobel,Verbal,67,140,1,1,690,660,1350,3.45,6 Junior,F,Nobel,Math,61,110,2,2,660,700,1360,3.83,4 Sophomore,F,Nobel,Verbal,68,125,0,1,600,590,1190,3,4 Senior,F,Olympic,Verbal,65,125,2,2,700,560,1260,3.35,8 FirstYear,M,Olympic,Math,70,180,2,3,660,690,1350,2.4,0 Sophomore,M,Olympic,Math,72,195,2,3,540,650,1190,3.1,0 Sophomore,F,Academy,Math,66,128,3,3,520,630,1150,3.4,2 FirstYear,M,Olympic,Math,71,172,1,1,550,580,1130,2.82,0 Sophomore,F,Olympic,Math,64,150,1,1,600,620,1220,2.9,2 Sophomore,M,Olympic,Math,73,188,1,1,600,640,1240,3.4,0 Sophomore,F,Olympic,Verbal,60,110,2,1,520,480,1000,3.2,7 Sophomore,F,Olympic,Math,64,125,1,1,490,610,1100,3.2,5 Sophomore,F,Olympic,Math,65,135,3,1,600,650,1250,3.8,0 FirstYear,F,Olympic,Verbal,65,130,2,2,620,520,1140,3.57,2 Sophomore,M,Olympic,Math,73,230,2,2,530,620,1150,3.33,0 Sophomore,M,Nobel,Math,69,198,1,2,550,620,1170,2.9,0 Sophomore,M,Olympic,Math,66,150,1,2,610,680,1290,3.1,1 Sophomore,M,Olympic,Math,73,175,3,1,550,600,1150,3.25,0 Junior,M,Nobel,Math,71,160,3,4,560,580,1140,3.4,0 Junior,F,Nobel,Math,65,140,2,3,670,710,1380,3.8,2 Sophomore,M,Nobel,Verbal,75,200,1,1,610,600,1210,3.38,0 Sophomore,F,Nobel,Math,63,130,1,1,660,720,1380,3.88,4 Sophomore,M,Olympic,Math,74,210,3,3,630,660,1290,2.75,0 Sophomore,M,Olympic,Math,70,210,2,2,520,580,1100,2.9,0 Sophomore,F,Nobel,Math,63,145,4,5,670,750,1420,3.6,5 Sophomore,M,Olympic,Math,75,156,3,1,550,710,1260,2.8,0 FirstYear,M,Olympic,Math,71,207,0,1,560,680,1240,2.2,1 Sophomore,F,Olympic,Verbal,68,137,2,2,600,500,1100,3.3,0 FirstYear,M,Olympic,Math,72,153,2,3,560,690,1250,2.85,0 Junior,F,Nobel,Math,63,175,2,3,610,660,1270,3.37,2 Sophomore,F,Nobel,Math,65,136,3,1,710,760,1470,3.5,2 Sophomore,F,Nobel,Verbal,65,104,2,2,710,680,1390,3.55,6 FirstYear,F,Olympic,Math,67,122,3,4,560,640,1200,3.2,2 Sophomore,M,Nobel,Math,72,192,1,1,600,630,1230,2.47,0 FirstYear,M,Olympic,Math,71,218,1,2,540,560,1100,2.72,0 Sophomore,M,Nobel,Math,68,170,4,5,600,640,1240,3.4,0 Sophomore,F,Academy,Math,64,150,1,1,550,560,1110,3.4,5 Senior,M,Olympic,Verbal,71,135,4,3,550,550,1100,3.1,0 Senior,F,Nobel,Math,62,155,1,1,620,660,1280,3.1,2 Sophomore,F,Olympic,Math,65,135,1,1,550,650,1200,2.94,3 Sophomore,M,Olympic,Math,68,140,1,2,570,580,1150,3,0 Sophomore,F,Olympic,Math,68,135,3,1,570,600,1170,3.6,2 Sophomore,F,Nobel,Math,64,135,1,1,620,640,1260,3.6,2 Sophomore,M,Nobel,Math,72,165,2,1,520,670,1190,3.5,0 Junior,M,Olympic,Math,71,180,1,2,620,640,1260,3.4,0 Sophomore,M,Olympic,Math,72,165,2,1,520,670,1190,3.5,0 Sophomore,M,Olympic,Math,72,175,2,2,680,750,1430,3,0 Sophomore,M,Olympic,Math,71,200,1,2,630,710,1340,2.75,0 Sophomore,M,Nobel,Verbal,71,138,0,1,730,650,1380,3.56,0 Senior,M,Olympic,Math,71,265,1,1,440,460,900,2.7,0 Sophomore,F,Academy,Math,61,105,1,2,670,700,1370,3.68,2 Sophomore,F,Nobel,Math,68,130,3,3,500,560,1060,3.5,4 Sophomore,M,Olympic,Verbal,70,165,1,1,630,560,1190,3.5,0 Sophomore,F,Nobel,Verbal,67,145,1,2,680,620,1300,3.4,5 FirstYear,F,Academy,Math,64,138,1,1,530,580,1110,2.6,2 Sophomore,F,Olympic,Verbal,71,193,2,2,630,620,1250,3.25,0 Sophomore,M,Nobel,Math,71,170,1,1,600,620,1220,3.3,0 Sophomore,M,Nobel,Verbal,69,155,1,1,700,560,1260,3.2,0 Sophomore,M,Olympic,Math,70,155,1,1,590,620,1210,2.9,0 Junior,F,Nobel,Verbal,65,140,2,1,670,670,1340,3.85,2 Sophomore,F,Nobel,Verbal,65,130,1,1,780,640,1420,3.4,0 Sophomore,M,Olympic,Verbal,72,180,3,3,660,620,1280,3.4,0 Sophomore,M,Academy,Math,74,210,1,2,510,530,1040,2.7,0 Sophomore,F,Nobel,Verbal,62,115,1,2,740,660,1400,3.4,9 Sophomore,M,Nobel,Verbal,75,225,3,1,780,620,1400,3.23,0 FirstYear,M,Academy,Math,67,170,2,3,440,560,1000,3.1,0 Sophomore,F,Olympic,Verbal,63,120,0,1,700,550,1250,2.89,6 Senior,M,Nobel,Verbal,71,170,1,1,660,560,1220,2.81,0 Sophomore,F,Academy,Verbal,63,130,2,3,520,510,1030,3,4 FirstYear,M,Nobel,Math,70,182,1,2,600,620,1220,3.77,0 Sophomore,M,Nobel,Verbal,67,138,1,2,760,640,1400,3.3,0 Sophomore,M,Nobel,Math,74,180,2,1,680,740,1420,3,0 Sophomore,M,Olympic,Math,69,230,0,1,520,590,1110,2.9,5 Junior,M,Olympic,Math,70,222,2,1,510,730,1240,3.5,5 FirstYear,M,Academy,Verbal,70,145,4,4,600,600,1200,3.6,0 Sophomore,M,Nobel,Math,70,150,1,1,650,680,1330,3.7,0 Senior,M,Nobel,Verbal,68,190,0,1,700,670,1370,3.2,0 Sophomore,M,Olympic,Verbal,76,195,3,1,650,620,1270,2.87,0 Sophomore,F,Nobel,Verbal,59,115,1,2,520,520,1040,3.3,0 Junior,F,Olympic,Verbal,66,140,1,2,580,530,1110,3.3,2 Sophomore,M,Nobel,Verbal,68,155,1,1,600,600,1200,3.45,0 Sophomore,M,Nobel,Math,72,150,2,1,520,710,1230,3.1,0 Sophomore,M,Academy,Math,69,155,2,1,750,780,1530,3.71,0 FirstYear,M,Olympic,Math,75,210,3,2,550,580,1130,3.3,0 Junior,M,Olympic,,71,192,1,1,640,640,1280,3.73,0 FirstYear,F,Olympic,Math,72,220,3,4,660,670,1330,3.13,2 Junior,F,Nobel,Verbal,64,134,1,2,640,640,1280,3.89,2 Sophomore,M,Olympic,Math,68,160,1,1,530,650,1180,3.05,0 Junior,M,Nobel,Verbal,68,135,1,1,690,650,1340,3.2,0

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