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Course: STAT 212, Fall 2008
School: UVA
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UVA - STAT - 212
Excel OutputBINOMDIST(X, n, p, cumulative) BINOMDIST(10, 20, 18/38, TRUE) = 0.677658 BINOMDIST(10, 20, 18/38,FALSE) =0.171377 BINOMDIST(10, 20, 20/38, TRUE) = 0.493719 BINOMDIST(10, 20, 20/38, FALSE) = 0.171377 BINOMDIST(11, 15, 0.75, FALSE) = 0.225199 B
UVA - STAT - 212
STAT 212: Final Exam Formulas x= 1 nnxii=1 n p z n=n i=1p(1 p) n z m21 s = n12(xi x) i=1 n2 2p (1 p ) p p0 1 = n1 s= r= s2x2 ii=1(xi ) z=np0 (1 p0 )/n p1 (1 p1 ) p2 (1 p2 ) + n1 n2 ,p= 1 n2 (1 p2 ) z p n1 n1i=1xi x sxyi y sy
UVA - STAT - 212
0.20.180.160.140.12 Probability0.10.080.060.040.020 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 trial# of heads, X 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20Probability 0 0 0 0 0 0.01 0.04 0.07 0.12 0.16 0.18 0.16 0.12 0.07
UVA - STAT - 212
UVA - STAT - 212
Course Action? Stat 212 Section 1, 2, 3MW 2pm 3:15pm TR 9:30am &amp; 11am Maury 209 Professor Kenneth Strazzeri! &quot;Only one class is full. ! &quot;Until all classes fill, I will not courseaction anyone into the full section.! &quot;We will discuss Stat lab day and t
UVA - STAT - 212
Stat 212 Section 1, 2, 3MW 2pm 3:15pm TR 9:30am &amp; 11am Maury 209 Professor Kenneth Strazzeri Course Action?Only one class is full. Until all classes fill, I will not course action anyone into the full section. We will discuss Stat lab day and time i
UVA - STAT - 212
Text: The Practice of Business Statistics (2nd edition) by Moore, et al
UVA - STAT - 212
Beers Vs. BAC0.2 0.18 0.16 0.14 0.12 BAC 0.1 0.08 0.06 0.04 0.02 0 0 1 2 3 4 5 Beers 6 7 8 9 10SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df Regression Residual Total Coefficients Interce
UVA - STAT - 212
Toward statistical inferenceThe techniques of inferential statistics allow us to draw conclusionsProducing data: -Towards InferenceSection 3.3about a population using a sample.!Your estimate of the population is only as good as your sampling design.
UVA - STAT - 212
Binomial SettingProbability TheoryThe Binomial and Poisson DistributionsBinomial distributions are models for some categorical variables, typically representing the number of successes in a series of n trials. The observations must meet these requireme
UVA - STAT - 212
Overview of InferenceIntroduction to InferenceEstimating with Confidence!Methods for drawing conclusions about a population from sample data are called statistical inference. Methods&quot;! &quot;!!Confidence Intervals - estimating a value of a population pa
UVA - STAT - 212
HypothesesNull Hypothesis claims that the effect we are looking for does not exist. It is the no change or no difference hypothesis. Alternative Hypothesis claims that the effect we are looking for does exist.General HypothesesTwo-tailed Hypotheses H0:
UVA - STAT - 212
P = 0.2758P = 0.0735Introduction to InferenceTests of SignificanceP = 0.1711Significant P-value ?P = 0.05Section 6.2 (Continued)P = 0.0892P = 0.01 2009 W.H. Freeman and CompanyWhen the shaded area becomes very small, the probability of drawing
UVA - STAT - 212
Introduction!Inference for ProportionsInference for a Single Proportion! !Many studies collect data on categorical variables, such as voting preferences, occupation of a person, the make of a car, etc. The parameters of interest in these settings are
UVA - STAT - 212
Two-way tables - review!Inference for Two-Way TablesAnalysis of Two-Way Tables!!&quot;!An experiment has a two-way design if two categorical factors are studied with several levels of each factor. Two-way tables organize data about two categorical varia
UVA - STAT - 212
Simple Linear Regression!Inference for RegressionInference about the Regression Model and Using the Regression LineSection 10.1 and 10.2! ! !We will deal with analyzing the relationship between two quantitative variables.!We have graphed this rela
UVA - STAT - 212
Announcements!Information!Our final exam is Thursday May 7 from 7-10pm (room assignments will be announced prior to the final via email and the class web site). If you have a time conflict with another exam (i.e. Calculus), you must bring the proper f
UVA - STAT - 212
SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df Regression Residual Total 2 102 104 Coefficients -0.24 0 0 SS 9.78 11.02 20.8 Standard Error 0.38 0 0 MS 4.89 0.11 F Significance F 45.27 00.6
UVA - STAT - 212
S&amp;P vs GE rates of return0.150.10.05GE0-0.05-0.1 -0.06-0.04-0.0200.02 S&amp;P 5000.040.060.080.1SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df Regression Residual Total Intercept
UVA - STAT - 212
STAT 212: Quiz 1 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy
UVA - STAT - 212
STAT 212: Quiz 2 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy y = b0 + b1 x; b1 = r sy , b0 = y b1 x sx
UVA - STAT - 212
STAT 212: Quiz 3 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy y = b0 + b1 x; b1 = r sy , b0 = y b1 x sx
UVA - STAT - 212
STAT 212: Quiz 4 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy y = b0 + b1 x; b1 = r X =2 X =sy , b0 = y b1 x sxxi p i ( x i X ) 2 p i2 2 a+bX = b2 X 2 2 2 X +Y = X + Y + 2X Y
UVA - STAT - 212
STAT 212: Quiz 5 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy y = b0 + b1 x; b1 = r X =2 X =sy , b0 = y b1 x sxxi p i ( x i X ) 2 p i2 2 a+bX = b2 X 2 2 2 X +Y = X + Y + 2X Y
UVA - STAT - 212
STAT 212: Quiz 6 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy y = b0 + b1 x; b1 = r X =2 X =sy , b0 = y b1 x sxxi p i ( x i X ) 2 p i2 2 a+bX = b2 X 2 2 2 X +Y = X + Y + 2X Y
UVA - STAT - 212
STAT 212: Quiz 7 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy y = b0 + b1 x; b1 = r X =2 X =sy , b0 = y b1 x sxxi p i ( x i X ) 2 p i2 2 a+bX = b2 X 2 2 2 X +Y = X + Y + 2X Y
UVA - STAT - 212
STAT 212: Quiz 8 Formulas1 x= n s2 = s= r=nxii=1 n1 n1 s2(xi x)2 = i=11 n1nx2 ii=1(2 n i=1 xi )n1 n1n i=1xi x sxyi y sy y = b0 + b1 x; b1 = r X =2 X =sy , b0 = y b1 x sxxi p i ( x i X ) 2 p i2 2 a+bX = b2 X 2 2 2 X +Y = X + Y + 2X Y
UVA - STAT - 212
STAT 212: Quiz 9 Formulas x= 1 nnxii=1 n n= z=2 n i=1 xi )z m21 s = n12(xi x) i=1 n2x (/ n) x (s/ n)= s= r=1 n1 s2x2 ii=1( t=ns x t n xi x sx yi y sy z= (1 x2 ) (1 2 ) x 2 1 n11 n1n i=1+2 2 n2 y = b0 + b1 x; b1 = r X =2 X =s
UVA - STAT - 212
STAT 212: Quiz 10 Formulas x= 1 nnxii=1 n n= z=2 n i=1 xi )z m21 s = n12(xi x) i=1 n2x (/ n) x (s/ n)= s= r=1 n1 s2x2 ii=1( t=ns x t n xi x sx yi y sy z= (1 x2 ) (1 2 ) x 2 1 n11 n1n i=1+2 2 n2 y = b0 + b1 x; b1 = r X =2 X =
UVA - STAT - 212
STAT 212: Quiz 11 Formulas x= 1 nnxii=1 n t=(1 x2 ) (1 2 ) x s2 1 n1+s2 2 n2 s2 =1 n1(xi x)2 i=1 n (1 x2 ) t x n i=1s2 s2 1 +2 n1 n21 = n1 s= s2x2 ii=1(xi )2n p z n= z mp(1 p) n21 r= n1np (1 p ) p p0 i=1xi x sxyi y sy z=
UVA - STAT - 212
STAT 212: Quiz 12 Formulas x= 1 nnxii=1 n p z n=n i=1p(1 p) n z m21 s = n12(xi x) i=1 n2 2p (1 p ) p p0 1 = n1 s= r= s2x2 ii=1(xi ) z=np0 (1 p0 )/n p1 (1 p1 ) p2 (1 p2 ) + n1 n2 ,p= 1 n2 (1 p2 ) z p n1 n1i=1xi x sxyi y sy z=
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