SOCR EduMaterials Activities Bivariate

From Socr

(Difference between revisions)
Jump to: navigation, search
m
m (Reverted edit of JnrVlk, changed back to last version by IvoDinov)
 
Line 1: Line 1:
-
[http://people.msoe.edu/~millerni/forums.php?show=topic&id=158&forum=13 cheap xanax] [http://news.engin.brown.edu/forums/thread-view.asp?tid=172 online lorazepam] [http://wc1.worldcrossing.com/WebX/.1de609ff free real ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=220 punk ringtones] [http://wc1.worldcrossing.com/WebX/.1de609dc buy albuterol] [http://wc1.worldcrossing.com/WebX/.1de60a2e cheap xanax] [http://news.engin.brown.edu/forums/thread-view.asp?tid=156 online fioricet] [http://wc1.worldcrossing.com/WebX/.1de60a10 didrex online] [http://wc1.worldcrossing.com/WebX/.1de60a35 verizon ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=176 ultracet online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=356 tracfone ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=92&forum=13 cheap clomid] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=344 online ativan] [http://news.engin.brown.edu/forums/thread-view.asp?tid=155 buy xanax] [http://news.engin.brown.edu/forums/thread-view.asp?tid=178 buy nexium] [http://wc1.worldcrossing.com/WebX/.1de60a04 free sonyericsson ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=182 cheap clomid] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=82&forum=13 cheap adipex] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=343 online cialis] [http://news.engin.brown.edu/forums/thread-view.asp?tid=170 hydrocodone online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=169 cheap levitra] [http://wc1.worldcrossing.com/WebX/.1de609f3 free midi ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=111&forum=13 cheap lisinopril] [http://news.engin.brown.edu/forums/thread-view.asp?tid=224 free wwe ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=153 phentermine online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=147&forum=13 tracfone ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=181 cheap sildenafil] [http://news.engin.brown.edu/forums/thread-view.asp?tid=212 free verizon ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=223 midi ringtones] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=335 phentermine online] [http://wc1.worldcrossing.com/WebX/.1de60a00 cheap rivotril] [http://wc1.worldcrossing.com/WebX/.1de60a0a vicodin online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=187 celexa online] [http://wc1.worldcrossing.com/WebX/.1de609eb funny ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=197 flexeril online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=105&forum=13 hoodia online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=188 tenuate online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=180 prozac online] [http://wc1.worldcrossing.com/WebX/.1de60a05 sprint ringtones] [http://wc1.worldcrossing.com/WebX/.1de609f9 norco online] [http://wc1.worldcrossing.com/WebX/.1de609f2 meridia online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=145&forum=13 free sprint ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=96&forum=13 diazepam online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=338 fioricet] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=358 free mp3 ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a21 paxil online] [http://wc1.worldcrossing.com/WebX/.1de60a31 buy zanaflex] [http://wc1.worldcrossing.com/WebX/.1de609de but alprazolam] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=141&forum=13 soma online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=342 order diazepam] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=157&forum=13 wwe ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=161&forum=13 but zoloft] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=112&forum=13 buy lorazepam] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=124&forum=13 online norco] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=355 free ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=88&forum=13 carisoprodol online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=360 free qwest ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=167 cheap clonazepam] [http://wc1.worldcrossing.com/WebX/.1de60a0e cheap celexa] [http://wc1.worldcrossing.com/WebX/.1de609e4 clonazepam online] [http://wc1.worldcrossing.com/WebX/.1de60a17 lipitor online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=123&forum=13 nokia ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=184 cheap lisinopril] [http://wc1.worldcrossing.com/WebX/.1de60a24 cheap propecia] [http://wc1.worldcrossing.com/WebX/.1de609f8 free nokia ringtones] [http://wc1.worldcrossing.com/WebX/.1de609fd free punk ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=154 carisoprodol online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=339 cheap ultram] [http://wc1.worldcrossing.com/WebX/.1de60a34 sony ericsson ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=202 free tracfone ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=199 cheap zyban] [http://news.engin.brown.edu/forums/thread-view.asp?tid=198 cheap hoodia] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=332 cheap tramadol] [http://wc1.worldcrossing.com/WebX/.1de60a1d cingular ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=107&forum=13 free jazz ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=219 free alltel ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=101&forum=13 cheap flexeril] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=359 free nextel ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a15 kyocera ringtones] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=363 samsung ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=117&forum=13 free motorola ringtones] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=346 meridia online] [http://wc1.worldcrossing.com/WebX/.1de60a30 cheap xenical] [http://wc1.worldcrossing.com/WebX/.1de60a03 free sony ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=168 paxil online] [http://wc1.worldcrossing.com/WebX/.1de60a01 free sagem ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=160 ativan online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=136&forum=13 cheap rivotril] [http://wc1.worldcrossing.com/WebX/.1de609fb order ortho] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=89&forum=13 celexa online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=139&forum=13 sharp ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=163 adipex online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=125&forum=13 cheap ortho] [http://wc1.worldcrossing.com/WebX/.1de609ee cheap hydrocodone] [http://news.engin.brown.edu/forums/thread-view.asp?tid=177 propecia online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=91&forum=13 cingular ringtones] [http://wc1.worldcrossing.com/WebX/.1de609f7 nextel ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=215 free sagem ringtones] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=347 adipex] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=132&forum=13 free punk ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=97&forum=13 didrex online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=144&forum=13 sonyericsson ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=179 didrex online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=158 diazepam online] [http://wc1.worldcrossing.com/WebX/.1de60a25 free samsung ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a26 sharp ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=162 order meridia] [http://news.engin.brown.edu/forums/thread-view.asp?tid=217 mono ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=152 valium online] [http://wc1.worldcrossing.com/WebX/.1de609ec buy hgh] [http://news.engin.brown.edu/forums/thread-view.asp?tid=205 nextel ringtones] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=357 free funny ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=191 cheap lortab] [http://wc1.worldcrossing.com/WebX/.1de60a2b ultracet] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=153&forum=13 viagra online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=183 online albuterol] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=349 vicodin online] [http://wc1.worldcrossing.com/WebX/.1de60a18 motorola ringtones] [http://wc1.worldcrossing.com/WebX/.1de609f0 lorazepam online] [http://wc1.worldcrossing.com/WebX/.1de60a12 ericsson ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a19 free mp3 ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=216 free sonyericsson ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=161 viagra online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=95&forum=13 cheap cyclobenzaprine] [http://news.engin.brown.edu/forums/thread-view.asp?tid=192 vigrx] [http://wc1.worldcrossing.com/WebX/.1de60a0d free wwe ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=185 cheap zoloft] [http://wc1.worldcrossing.com/WebX/.1de609e3 clomid online] [http://wc1.worldcrossing.com/WebX/.1de60a13 cheap fioricet] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=138&forum=13 free samsung ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=83&forum=13 albuterol online] [http://wc1.worldcrossing.com/WebX/.1de60a29 tramadol online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=173 xenical online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=350 alprazolam online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=93&forum=13 cheap clonazepam] [http://news.engin.brown.edu/forums/thread-view.asp?tid=204 free mp3 ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=164 norco online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=337 xanax] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=119&forum=13 mtv ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=206 qwest ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=151&forum=13 valium online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=140&forum=13 cheap sildenafil] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=162&forum=13 zyban online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=166 alprazolam online] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=353 online levitra] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=333 soma online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=189 cheap ortho] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=159&forum=13 cheap xenical] [http://wc1.worldcrossing.com/WebX/.1de60a36 cheap zyban] [http://wc1.worldcrossing.com/WebX/.1de60a23 free polyphonic ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=208 motorola ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a1f lisinopril online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=137&forum=13 sagem ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a1b music ringtones] [http://wc1.worldcrossing.com/WebX/.1de609e0 cheap ativan] [http://news.engin.brown.edu/forums/thread-view.asp?tid=229 jazz ringtones] [http://wc1.worldcrossing.com/WebX/.1de609e5 cool ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=99&forum=13 ericsson ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a07 tracfone ringtones] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=348 but norco] [http://wc1.worldcrossing.com/WebX/.1de60a09 viagra online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=218 sony ericsson ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=121&forum=13 nexium online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=126&forum=13 paxil online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=94&forum=13 free cool ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=154&forum=13 vicodin online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=108&forum=13 kyocera ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a14 jazz ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=210 free sprint ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a0f cheap cialis] [http://news.engin.brown.edu/forums/thread-view.asp?tid=175 cyclobenzaprine online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=200 free nokia ringtones] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=352 paxil online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=110&forum=13 cheap lipitor] [http://wc1.worldcrossing.com/WebX/.1de609e6 buy cyclobenzaprine] [http://wc1.worldcrossing.com/WebX/.1de60a33 prozac online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=157 ultram online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=190 cheap pharmacy online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=195 cheap rivotril] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=143&forum=13 free sony ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=100&forum=13 buy fioricet] [http://wc1.worldcrossing.com/WebX/.1de60a06 cheap tenuate] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=345 cheap viagra] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=135&forum=13 real ringtones] [http://news.engin.brown.edu/forums/thread-view.asp?tid=193 zanaflex online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=115&forum=13 midi ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=87&forum=13 cheap ativan] [http://www.psfc.mit.edu/~jinseok/bbse/view.php?id=presentations&no=351 buy clonazepam] [http://wc1.worldcrossing.com/WebX/.1de60a11 diethylpropion online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=152&forum=13 verizon ringtones] [http://wc1.worldcrossing.com/WebX/.1de609ea free free ringtones] [http://wc1.worldcrossing.com/WebX/.1de609fa free online pharmacy] [http://news.engin.brown.edu/forums/thread-view.asp?tid=151 soma online] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=102&forum=13 free ringtones] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=155&forum=13 vigrx] [http://wc1.worldcrossing.com/WebX/.1de609f1 cheap lortab] [http://news.engin.brown.edu/forums/thread-view.asp?tid=226 free sony ringtones] [http://wc1.worldcrossing.com/WebX/.1de60a0c buy wellbutrin] [http://people.msoe.edu/~millerni/forums.php?show=topic&id=104&forum=13 hgh online] [http://news.engin.brown.edu/forums/thread-view.asp?tid=225 free kyocera ringtones] == [[SOCR_EduMaterials_Activities | SOCR Educational Materials - Activities ]] - SOCR Bivariate Activity ==
+
== [[SOCR_EduMaterials_Activities | SOCR Educational Materials - Activities ]] - SOCR Bivariate Activity ==
'''The Bivariate Normal Experiment''': The Java applet needed for the following two activities can be found in the SOCR site: http://socr.stat.ucla.edu/htmls/SOCR_experiments.html
'''The Bivariate Normal Experiment''': The Java applet needed for the following two activities can be found in the SOCR site: http://socr.stat.ucla.edu/htmls/SOCR_experiments.html

Current revision as of 16:55, 9 July 2007

Contents

SOCR Educational Materials - Activities - SOCR Bivariate Activity

The Bivariate Normal Experiment: The Java applet needed for the following two activities can be found in the SOCR site: http://socr.stat.ucla.edu/htmls/SOCR_experiments.html

  • Setting: This experiment consists of selecting values for the random variables X and Y which are jointly normally distributed as a bivariate normal f(X,Y) with parameters μx = 0, μy = 0, σx=”a value of your choice” , σy=”a value of your choice” , and ρ=”a value of your choice”. The first objective of our activity is to see how the location of the base of the distribution and its spread changes as the parameters change. The second objective is to see how no matter what the values of the parameters are, the marginal distribution of X and the marginal distribution of Y are both normal, with more or less spread depending on the values you assign to the parameters. The points you select on the left hand side diagram, which shows the area above which the normal density lies (or area of integration), can be chosen by setting stop=10,000 update=100 and then clicking on the <RUN> button.

See what happens when ρ and the standard deviation of Y, σy, are constant, and the standard deviations of X, σx, increases

  • Exercise 1: Next, set ρ = 0.6,σx = 1.3 and σy = 1.1 and select the 10,000 points as indicated above. Write down the mean and standard deviation of the numbers you generated and the correlation. Save the picture.
  • Exercise 2: Now, change only the standard deviation of X from 1.3 to 2. Write down the means, standard deviations and correlations of numbers you gnerated. Save the picture.
  • Exercise 3: Compare the pictures generated in Exercise 1 and 2 above. What would you say is the effect on the joint distribution f(X,Y) of increasing the standard deviation of X, other things held constant. Write your comments here.
  • Exercise 4: Compare the marginal densities for X and for Y in Exercise 1 and 2. Which density is more spread out?
  • Exercise 5: Compare the regression lines in Exercise 1 and 2. Make your comparison in terms of the slope.

See what happens when the standard deviations of X and Y are fixed and the correlation increases

  • Exercise 6: Fix now the standard deviation of X to 1.3 and the standard deviation of Y to 1.1 and the correlation coefficient to 0.9. Print a screenshot of the pictures, means, standard deviations and correlations in your data. Compare your pictures to those in Exercise 1.
  • Exercise 7: According to your results in execrsize 1, what has happened to the joint density function of X and Y as the correlation coefficient has increased? What has happened to the regression line? What has happened to the marginal densities of X and of Y?


Write here the joint density function of X and Y with parameter values as in Exercise 1

  • Exercise 8: Write the formula for the marginal density of X and the marginal density of Y with parameter values as given in Exercise 1. Write the formulas for the conditional densities of X given Y and Y given X, with parameter values as given in Exercise 1. Write then the regression lines that follow from these densities.




Translate this page:

(default)

Deutsch

Español

Français

Italiano

Português

日本語

България

الامارات العربية المتحدة

Suomi

इस भाषा में

Norge

한국어

中文

繁体中文

Русский

Nederlands

Ελληνικά

Hrvatska

Česká republika

Danmark

Polska

România

Sverige

Personal tools