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13 Bivariate

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Hadley Wickham
Hadley Wickham
VoyagesBusiness
1  sur  46
Télécharger pour lire hors ligne
Stat310 Bivariate distributions Hadley Wickham Friday, 26 February 2010
1. Test 2. Example 3. CDF 4. Expectation 5. Conditional distributions 6. Correlation Friday, 26 February 2010
Test Friday, 26 February 2010
15 10 n 5 C B A 0 10 15 20 25 30 35 40 Grade Friday, 26 February 2010
But, you can expect a boost of about 10% from your homeworks 15 10 n 5 C B A 0 10 15 20 25 30 35 40 Grade Friday, 26 February 2010
Test It was a bit harder than I intended (Question 1 was supposed to be the easiest ☹). I don’t curve, but I will provide opportunities for you to improve your overall grade. Extra credit this week worth 5 points - you may redo one question from the exam. Model answers will be posted after spring break. Friday, 26 February 2010
Example Friday, 26 February 2010
● ● ● ● 70 ● ● ● ● ● ● 60 ● 50 type ● ● ● 3pt ● ● ● ● driving layup ● 40 ● hook y ● ● ● ● ● jump ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● layup 30 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● turnaround jump ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 20 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 10 20 30 40 50 x Friday, 26 February 2010
3pt driving layup hook ● ● ● ● 70 ● ● ● ● ● ● 60 ● 50 ● ● ● ● ● ● 40 ● ● ●●● ●● ● ● ● ●●●●●●●●●●●●●●● ●●●● ●●● ●●●●●●●●●●●●●●●● ● ●●●●●●●●●●●●●●●● ●●●●●●●●●●● ●● ●●●●●●●● ● 30 ●●● ●●●●● ●●●● ● ●● ●●●●●●● ● ● ● ●●●●●● ●●●●●● ●●●●● ●●● ●●● ●●●●●● ●●●●● ●●●●● ●●●●● ●●●● ●●●● ●●● ●●● ●● ●●●● ●●●● ●●●● ●●●● ●●● ●● ●●● ●● ●●● ●●● ●●● ●●● ●●●● ● ●●●● ●●● 20 ●●● ●●●● ● ●●● ●●● ●● ●● ●● ●● ●● ● ●● ●● ● ● ● ● ● ●● ●●● ●●●●●●● ●● ● ● ●● ● ●● ● ●●●● ● ●● ● ●●●●● ● ● ●● ● ●● ● ●● ●● ● ● ● ●● ● ● ●●●●●●● ● ● 10 ●● ●● ●● ● ● ●● ●● ●●● ● ● ●●●●●●●● ●●● ●●●●●● ●●●●●● ●● ●● ● ●● ● ● ●● ● ●●●● ●●● ●●● ●● ● ●●●● ●●● ● ● ●●● ● ●● ●● ● ● ● ● ●● ●● ●● ●● ●● ● ●● ● ● ●● ● ● ● ● ●●● ● ● ● ● ●● ●● ●● ● jump layup turnaround jump y 70 60 50 40 30 ● ● ● ● ●●●●●●●● ●●●● ● ●●●●●●●●●●● ● ●●●●●●●●●●●● ●●●●●●●●● ● ●●●●●●●● ● ●●● ● ●●●●●●●●●●●●●●● ●●●●●● ● ●● ● ●●●●●●●●●●●●●●●●● ● ● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●● ●●●●●●● ●●●●●●●●●● ● ● 20 ●●●●●● ● ●●●●●●●●●●● ●●●●●● ●●●●●●●●●●●●●●●●●● ● ●●●●● ●● ●●●● ● ● ●● ●● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●● ●● ●●●●●●● ●●●●●●● ●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●● ●●● ●● ●●●●● ● ● ●● ● ● ● ●● ● ● ●●●●●●●●●●●●●●●●●●●●● ●● ●●● ●● ●● ●●●●●●●● ●●●● ●●●●●●● ● ● ●● ● ● ●●●●●● ● ● ● ● ● ●●●● ● ● ● ●●●●●●●●●●●●●●●●●●● ● ●●● ● ● ●●●●●●●●●● ● ● ● ● ●●●● ●●●●● ●●●●●●●●●●●●●●●●●●●●●● ● ●● ● ● ● ● ●●● ●●●●●●●● ● ●●●● ● ●●● ● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●● ● ●● ● ● ● ● ●●●●● ●● ●● ● ● 10 ●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●● ●●●●●●●●●●● ●●●● ● ●●● ●●●●●●●●● ●●●●● ●●●●● ●●●●●● ●●●● ●●●● ●●●●●● ●●●● ●●●●● ●●● ●●● ●● ●● ● ● ● ● ● ●●●●● ●●● ● ●●●●● ●● ● ● ●●●● ●●●●●●●●●●● ●●●●●●● ● ●●●●●●●●●● ●●●●●●●●●● ●●●● ●●● ●● ● ●●● ●●●●●●●●● ● ●●●●● ● ● ● ●●● ●●● ● ●●●●● ● ●●● ● ● ●●●●●●●●● ●●●●●●●●● ●●●●●●●● ● ●●●●● ●● ●● ●● ●●●● ●●●● ● ●● ●●● ● ● ●● ●● ●● ●●● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● 0 10 20 30 40 50 0 10 20 30 40 50 0 10 20 30 40 50 x Friday, 26 February 2010
3pt driving layup hook ● ● ● ● 70 ● ● ● ● ● ● 60 ● 50 ● ● ● ● ● ● 40 ● ● ●●● ●● ● ● ● ●●●●●●●●●●●●●●● ●●●● ●●● ●●●●●●●●●●●●●●●● ● ●●●●●●●●●●●●●●●● ●●●●●●●●●●● ●● ●●●●●●●● ● 30 ●●● ●●●●● ●●●● ● ●● ●●●●●●● ● ● ● ●●●●●● ●●●●●● ●●●●● ●●● ●●● ●●●●●● ●●●●● ●●●●● ●●●●● ●●●● ●●●● ●●● ●●● ●● ●●●● ●●●● ●●●● ●●●● ●●● ●● ●●● ●● ●●● ●●● ●●● ●●● ●●●● ● ●●●● ●●● 20 ●●● ●●●● ● ●●● ●●● ●● ●● ●● ●● ●● ● ●● ●● ● ● ● ● ● ●● ●●● ●●●●●●● ●● ● ● ●● ● ●● ● ●●●● ● ●● ● ●●●●● ● ● ●● ● ●● ● ●● ●● ● ● ● ●● ● ● ●●●●●●● ● ● 10 ●● ●● ●● ● ● ●● ●● ●●● ● ● ●●●●●●●● ●●● ●●●●●● ●●●●●● ●● ●● ● ●● ● ● ●● ● ●●●● ●●● ●●● ●● ● ●●●● ●●● ● ● ●●● ● ●● ●● ● ● ● ● ●● ●● ●● ●● ●● ● ●● ● ● ●● ● ● ● ● ●●● ● ● ● ● ●● ●● ●● ● jump layup turnaround jump y 70 60 50 40 30 ● ● ● ● ●●●●●●●● ●●●● ● ●●●●●●●●●●● ● ●●●●●●●●●●●● ●●●●●●●●● ● ●●●●●●●● ● ●●● ● ●●●●●●●●●●●●●●● ●●●●●● ● ●● ● ●●●●●●●●●●●●●●●●● ● ● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●● ●●●●●●● ●●●●●●●●●● ● ● 20 ●●●●●● ● ●●●●●●●●●●● ●●●●●● ●●●●●●●●●●●●●●●●●● ● ●●●●● ●● ●●●● ● ● ●● ●● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●● ●● ●●●●●●● ●●●●●●● ●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●● ●●● ●● ●●●●● ● ● ●● ● ● ● ●● ● ● ●●●●●●●●●●●●●●●●●●●●● ●● ●●● ●● ●● ●●●●●●●● ●●●● ●●●●●●● ● ● ●● ● ● ●●●●●● ● ● ● ● ● ●●●● ● ● ● ●●●●●●●●●●●●●●●●●●● ● ●●● ● ● ●●●●●●●●●● ● ● ● ● ●●●● ●●●●● ●●●●●●●●●●●●●●●●●●●●●● ● ●● ● ● ● ● ●●● ●●●●●●●● ● ●●●● ● ●●● ● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●● ● ●● ● ● ● ● ●●●●● ●● ●● ● ● 10 ●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●● ●●●●●●●●●●● ●●●● ● ●●● ●●●●●●●●● ●●●●● ●●●●● ●●●●●● ●●●● ●●●● ●●●●●● ●●●● ●●●●● ●●● ●●● ●● ●● ● ● ● ● ● ●●●●● ●●● ● ●●●●● ●● ● ● ●●●● ●●●●●●●●●●● ●●●●●●● ● ●●●●●●●●●● ●●●●●●●●●● ●●●● ●●● ●● ● ●●● ●●●●●●●●● ● ●●●●● ● ● ● ●●● ●●● ● ●●●●● ● ●●● ● ● ●●●●●●●●● ●●●●●●●●● ●●●●●●●● ● ●●●●● ●● ●● ●● ●●●● ●●●● ● ●● ●●● ● ● ●● ●● ●● ●●● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● 0 10 20 30 40 50 0 10 20 30 40 50 0 10 20 30 40 50 x Friday, 26 February 2010
Marginal distribution of y 140 120 100 80 ..count.. 60 40 20 0 5 10 15 20 25 30 y Friday, 26 February 2010
Marginal distribution of x 80 60 ..count.. 40 20 0 10 20 30 40 x Friday, 26 February 2010
Joint distribution of x and y 2114 jumps 30 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 25 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 20 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● y 15 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 5 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 20 30 40 x Friday, 26 February 2010
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Similaire à 13 Bivariate (20)

02 Large
02 Large02 Large
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02 large
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1 basics
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04 Wrapup
04 Wrapup04 Wrapup
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08 Continuous
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08 Continuous
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Los Angeles R users group - July 12 2011 - Part 1
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21 Ml
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01 Intro
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Model Visualisation (with ggplot2)
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01 intro
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14 case-study
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17 Sampling Dist
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17 polishing
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07 Discrete
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Plus de Hadley Wickham

Plus de Hadley Wickham (20)

27 development
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27 development
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24 modelling
24 modelling24 modelling
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23 data-structures
23 data-structures23 data-structures
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Graphical inference
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R packages
R packagesR packages
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22 spam
22 spam22 spam
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21 spam
21 spam21 spam
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20 date-times
20 date-times20 date-times
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19 tables
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18 cleaning
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16 critique
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15 time-space
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13 case-study
13 case-study13 case-study
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12 adv-manip
12 adv-manip12 adv-manip
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11 adv-manip
11 adv-manip11 adv-manip
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11 adv-manip
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10 simulation
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10 simulation
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09 bootstrapping
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13 Bivariate

  • 1. Stat310 Bivariate distributions Hadley Wickham Friday, 26 February 2010
  • 2. 1. Test 2. Example 3. CDF 4. Expectation 5. Conditional distributions 6. Correlation Friday, 26 February 2010
  • 4. 15 10 n 5 C B A 0 10 15 20 25 30 35 40 Grade Friday, 26 February 2010
  • 5. But, you can expect a boost of about 10% from your homeworks 15 10 n 5 C B A 0 10 15 20 25 30 35 40 Grade Friday, 26 February 2010
  • 6. Test It was a bit harder than I intended (Question 1 was supposed to be the easiest ☹). I don’t curve, but I will provide opportunities for you to improve your overall grade. Extra credit this week worth 5 points - you may redo one question from the exam. Model answers will be posted after spring break. Friday, 26 February 2010
  • 8. ● ● ● ● 70 ● ● ● ● ● ● 60 ● 50 type ● ● ● 3pt ● ● ● ● driving layup ● 40 ● hook y ● ● ● ● ● jump ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● layup 30 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● turnaround jump ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 20 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 0 10 20 30 40 50 x Friday, 26 February 2010
  • 9. 3pt driving layup hook ● ● ● ● 70 ● ● ● ● ● ● 60 ● 50 ● ● ● ● ● ● 40 ● ● ●●● ●● ● ● ● ●●●●●●●●●●●●●●● ●●●● ●●● ●●●●●●●●●●●●●●●● ● ●●●●●●●●●●●●●●●● ●●●●●●●●●●● ●● ●●●●●●●● ● 30 ●●● ●●●●● ●●●● ● ●● ●●●●●●● ● ● ● ●●●●●● ●●●●●● ●●●●● ●●● ●●● ●●●●●● ●●●●● ●●●●● ●●●●● ●●●● ●●●● ●●● ●●● ●● ●●●● ●●●● ●●●● ●●●● ●●● ●● ●●● ●● ●●● ●●● ●●● ●●● ●●●● ● ●●●● ●●● 20 ●●● ●●●● ● ●●● ●●● ●● ●● ●● ●● ●● ● ●● ●● ● ● ● ● ● ●● ●●● ●●●●●●● ●● ● ● ●● ● ●● ● ●●●● ● ●● ● ●●●●● ● ● ●● ● ●● ● ●● ●● ● ● ● ●● ● ● ●●●●●●● ● ● 10 ●● ●● ●● ● ● ●● ●● ●●● ● ● ●●●●●●●● ●●● ●●●●●● ●●●●●● ●● ●● ● ●● ● ● ●● ● ●●●● ●●● ●●● ●● ● ●●●● ●●● ● ● ●●● ● ●● ●● ● ● ● ● ●● ●● ●● ●● ●● ● ●● ● ● ●● ● ● ● ● ●●● ● ● ● ● ●● ●● ●● ● jump layup turnaround jump y 70 60 50 40 30 ● ● ● ● ●●●●●●●● ●●●● ● ●●●●●●●●●●● ● ●●●●●●●●●●●● ●●●●●●●●● ● ●●●●●●●● ● ●●● ● ●●●●●●●●●●●●●●● ●●●●●● ● ●● ● ●●●●●●●●●●●●●●●●● ● ● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●● ●●●●●●● ●●●●●●●●●● ● ● 20 ●●●●●● ● ●●●●●●●●●●● ●●●●●● ●●●●●●●●●●●●●●●●●● ● ●●●●● ●● ●●●● ● ● ●● ●● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●● ●● ●●●●●●● ●●●●●●● ●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●● ●●● ●● ●●●●● ● ● ●● ● ● ● ●● ● ● ●●●●●●●●●●●●●●●●●●●●● ●● ●●● ●● ●● ●●●●●●●● ●●●● ●●●●●●● ● ● ●● ● ● ●●●●●● ● ● ● ● ● ●●●● ● ● ● ●●●●●●●●●●●●●●●●●●● ● ●●● ● ● ●●●●●●●●●● ● ● ● ● ●●●● ●●●●● ●●●●●●●●●●●●●●●●●●●●●● ● ●● ● ● ● ● ●●● ●●●●●●●● ● ●●●● ● ●●● ● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●● ● ●● ● ● ● ● ●●●●● ●● ●● ● ● 10 ●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●● ●●●●●●●●●●● ●●●● ● ●●● ●●●●●●●●● ●●●●● ●●●●● ●●●●●● ●●●● ●●●● ●●●●●● ●●●● ●●●●● ●●● ●●● ●● ●● ● ● ● ● ● ●●●●● ●●● ● ●●●●● ●● ● ● ●●●● ●●●●●●●●●●● ●●●●●●● ● ●●●●●●●●●● ●●●●●●●●●● ●●●● ●●● ●● ● ●●● ●●●●●●●●● ● ●●●●● ● ● ● ●●● ●●● ● ●●●●● ● ●●● ● ● ●●●●●●●●● ●●●●●●●●● ●●●●●●●● ● ●●●●● ●● ●● ●● ●●●● ●●●● ● ●● ●●● ● ● ●● ●● ●● ●●● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● 0 10 20 30 40 50 0 10 20 30 40 50 0 10 20 30 40 50 x Friday, 26 February 2010
  • 10. 3pt driving layup hook ● ● ● ● 70 ● ● ● ● ● ● 60 ● 50 ● ● ● ● ● ● 40 ● ● ●●● ●● ● ● ● ●●●●●●●●●●●●●●● ●●●● ●●● ●●●●●●●●●●●●●●●● ● ●●●●●●●●●●●●●●●● ●●●●●●●●●●● ●● ●●●●●●●● ● 30 ●●● ●●●●● ●●●● ● ●● ●●●●●●● ● ● ● ●●●●●● ●●●●●● ●●●●● ●●● ●●● ●●●●●● ●●●●● ●●●●● ●●●●● ●●●● ●●●● ●●● ●●● ●● ●●●● ●●●● ●●●● ●●●● ●●● ●● ●●● ●● ●●● ●●● ●●● ●●● ●●●● ● ●●●● ●●● 20 ●●● ●●●● ● ●●● ●●● ●● ●● ●● ●● ●● ● ●● ●● ● ● ● ● ● ●● ●●● ●●●●●●● ●● ● ● ●● ● ●● ● ●●●● ● ●● ● ●●●●● ● ● ●● ● ●● ● ●● ●● ● ● ● ●● ● ● ●●●●●●● ● ● 10 ●● ●● ●● ● ● ●● ●● ●●● ● ● ●●●●●●●● ●●● ●●●●●● ●●●●●● ●● ●● ● ●● ● ● ●● ● ●●●● ●●● ●●● ●● ● ●●●● ●●● ● ● ●●● ● ●● ●● ● ● ● ● ●● ●● ●● ●● ●● ● ●● ● ● ●● ● ● ● ● ●●● ● ● ● ● ●● ●● ●● ● jump layup turnaround jump y 70 60 50 40 30 ● ● ● ● ●●●●●●●● ●●●● ● ●●●●●●●●●●● ● ●●●●●●●●●●●● ●●●●●●●●● ● ●●●●●●●● ● ●●● ● ●●●●●●●●●●●●●●● ●●●●●● ● ●● ● ●●●●●●●●●●●●●●●●● ● ● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●● ●●●●●●● ●●●●●●●●●● ● ● 20 ●●●●●● ● ●●●●●●●●●●● ●●●●●● ●●●●●●●●●●●●●●●●●● ● ●●●●● ●● ●●●● ● ● ●● ●● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●● ●● ●●●●●●● ●●●●●●● ●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●● ●●● ●● ●●●●● ● ● ●● ● ● ● ●● ● ● ●●●●●●●●●●●●●●●●●●●●● ●● ●●● ●● ●● ●●●●●●●● ●●●● ●●●●●●● ● ● ●● ● ● ●●●●●● ● ● ● ● ● ●●●● ● ● ● ●●●●●●●●●●●●●●●●●●● ● ●●● ● ● ●●●●●●●●●● ● ● ● ● ●●●● ●●●●● ●●●●●●●●●●●●●●●●●●●●●● ● ●● ● ● ● ● ●●● ●●●●●●●● ● ●●●● ● ●●● ● ●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●● ● ●● ● ● ● ● ●●●●● ●● ●● ● ● 10 ●●●●●●●●●●●●●●●●●●●●●● ●●●●●●●●●●●●●●●●●●●●● ●●● ●●●●●●●●●●● ●●●● ● ●●● ●●●●●●●●● ●●●●● ●●●●● ●●●●●● ●●●● ●●●● ●●●●●● ●●●● ●●●●● ●●● ●●● ●● ●● ● ● ● ● ● ●●●●● ●●● ● ●●●●● ●● ● ● ●●●● ●●●●●●●●●●● ●●●●●●● ● ●●●●●●●●●● ●●●●●●●●●● ●●●● ●●● ●● ● ●●● ●●●●●●●●● ● ●●●●● ● ● ● ●●● ●●● ● ●●●●● ● ●●● ● ● ●●●●●●●●● ●●●●●●●●● ●●●●●●●● ● ●●●●● ●● ●● ●● ●●●● ●●●● ● ●● ●●● ● ● ●● ●● ●● ●●● ● ● ● ●●● ● ● ● ● ● ● ● ● ● ● 0 10 20 30 40 50 0 10 20 30 40 50 0 10 20 30 40 50 x Friday, 26 February 2010
  • 11. Marginal distribution of y 140 120 100 80 ..count.. 60 40 20 0 5 10 15 20 25 30 y Friday, 26 February 2010
  • 12. Marginal distribution of x 80 60 ..count.. 40 20 0 10 20 30 40 x Friday, 26 February 2010
  • 13. Joint distribution of x and y 2114 jumps 30 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 25 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 20 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● y 15 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 5 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 10 20 30 40 x Friday, 26 February 2010