• Study Resource
  • Explore Categories
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
1exam2-2007-answers
1exam2-2007-answers

Chapter 10.1
Chapter 10.1

Test 1
Test 1

here
here

Notes 26 - Wharton Statistics
Notes 26 - Wharton Statistics

LECTURE 18 (Week 6)
LECTURE 18 (Week 6)

... hypothesis of no correlation between x and y in the population from which our data were drawn. ...
File
File

Hand-span Measurements 1. Get a ruler and measure your hand-span
Hand-span Measurements 1. Get a ruler and measure your hand-span

Blank
Blank

Exterior + Interior = 180
Exterior + Interior = 180

Sampling a Population - Massachusetts Institute of Technology
Sampling a Population - Massachusetts Institute of Technology

Cont.
Cont.

BCA III POINTS (14173)
BCA III POINTS (14173)

... 3) Which measure of dispersion is ideal – “standard deviation” 4) Standard deviation is independent of change of origin but not of scale 5) Value of correlation coefficient is between -1 or +1. 6) The value of r2 lie between 0 & 1 7) Two regression line intersect each other mean x and mean y 8) Ther ...
For questions 1 to 3: Here are data for the 50 states
For questions 1 to 3: Here are data for the 50 states

92The_Mean_and_the_Standard Deviation
92The_Mean_and_the_Standard Deviation

Linear Regression Power Point
Linear Regression Power Point

Statistics 60: Section 1
Statistics 60: Section 1

Lecture Notes
Lecture Notes

... equally, that the chance the observed effect occurred by chance was 5%. That’s the best statistics can do, it cannot prove that the observed effect was real, only increase our confidence in the reality! As an aside at this point, we asked ourselves how we actually made the comparison between the ‘be ...
Discrete Joint Distributions
Discrete Joint Distributions

AP STATISTICS
AP STATISTICS

... resistant measure – define and show how median is and mean is not show median and mean relationship for symmetric and skew distributions – when to use each five number summary (min, Q1, med, Q3, max), box-and-whisker, etc. measures of spread – define and find, introduce formula for s.d., yellow pack ...
L(4!~<rvu (Nt.Tole Two: 7. E 2. E
L(4!~

During the past month, Henri and Sylvia each ate 10 candy bars
During the past month, Henri and Sylvia each ate 10 candy bars

shaped and symmetric. At the 1% level of significance, test the claim
shaped and symmetric. At the 1% level of significance, test the claim

Section 7.2 Part 1 – Means and Variances of Random Variables
Section 7.2 Part 1 – Means and Variances of Random Variables

AMDG NAME AP Statistics Due Monday, April 2, 2012 10.2
AMDG NAME AP Statistics Due Monday, April 2, 2012 10.2

... 18. Researchers are studying the yield of a crop in two locations. The researchers are going to compute independent 90% confidence intervals for the mean yield  at each location. The probability that at least one of the intervals will cover the true mean yield at its location is A) 0.19. B) 0.81. C ...
< 1 ... 89 90 91 92 93 94 95 96 97 ... 111 >

Regression toward the mean

In statistics, regression toward (or to) the mean is the phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on its second measurement—and if it is extreme on its second measurement, it will tend to have been closer to the average on its first. To avoid making incorrect inferences, regression toward the mean must be considered when designing scientific experiments and interpreting data.The conditions under which regression toward the mean occurs depend on the way the term is mathematically defined. Sir Francis Galton first observed the phenomenon in the context of simple linear regression of data points. Galton developed the following model: pellets fall through a quincunx forming a normal distribution centered directly under their entrance point. These pellets could then be released down into a second gallery (corresponding to a second measurement occasion. Galton then asked the reverse question ""from where did these pellets come?"" ""The answer was not 'on average directly above'. Rather it was 'on average, more towards the middle', for the simple reason that there were more pellets above it towards the middle that could wander left than there were in the left extreme that could wander to the right, inwards"" (p 477) A less restrictive approach is possible. Regression towards the mean can be defined for any bivariate distribution with identical marginal distributions. Two such definitions exist. One definition accords closely with the common usage of the term “regression towards the mean”. Not all such bivariate distributions show regression towards the mean under this definition. However, all such bivariate distributions show regression towards the mean under the other definition.Historically, what is now called regression toward the mean has also been called reversion to the mean and reversion to mediocrity.In finance, the term mean reversion has a different meaning. Jeremy Siegel uses it to describe a financial time series in which ""returns can be very unstable in the short run but very stable in the long run."" More quantitatively, it is one in which the standard deviation of average annual returns declines faster than the inverse of the holding period, implying that the process is not a random walk, but that periods of lower returns are systematically followed by compensating periods of higher returns, in seasonal businesses for example.
  • studyres.com © 2026
  • DMCA
  • Privacy
  • Terms
  • Report