ENTREPRENEURSHIP MODULE (ENT 205) STANDARD DEVIATIONS AND VARIANCES ESTIMATIONS Estimation of ( and (2 Although there are a number of methods of estimating the standard deviation of a population the sample standard deviation is the most widely used estimator of this parameter. If we use s to make inferences about ( (or s2 to make inference about ( 2 ) the theory on which a confidence interval for ( is based requires that the population sampled has roughly the shape of a normal distribution
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EPI/STA 553 Principles of Statistical Inference II Fall 2006 Regression: Testing Assumptions December 4‚ 2006 Linearity The linearity of the regression mean can be examined visually by plots of the residuals against any of the independent variables‚ or against the predicted values. Chart 1 shows a residual plot that reveals no Chart 2 C hart 1 0.4 0.4 0.3 0.3 0.2 0.1 0.1 Residual Residual 0.2 0.0 -0.1 0.0 -0.1 -0.2 -0.2 -0.3 -0.3 -0.4 -0.5
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DC-1 Sem-II Chapter: Covariance and Correlation Content Developers: Vaishali Kapoor & Rakhi Arora College / University: Rajdhani College (University of Delhi) Institute of Lifelong Learning‚ University of Delhi 1 Table of Contents 1. Learning outcomes 2. Introduction 3. Covariance a. Discrete Random Variable b. Continuous Random Variable c. Special cases 4. Correlation 5. Appendix 6. Summary 7. Exercises 8. Glossary 9. References Institute of Lifelong Learning‚ University
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Standard Error | 1276 | Median | 61490 | Median | 56407 | Median | 69000 | Mode | 53464 | Mode | 53464 | Mode | #N/A | Standard Deviation | 10839 | Standard Deviation | 8639 | Standard Deviation | 9884 | Sample Variance | 117476832 | Sample Variance | 74634297 | Sample Variance | 97692326 | Kurtosis | -1 | Kurtosis | 1 | Kurtosis | -1 | Skewness | 0 | Skewness | 1 | Skewness | 0 | Range | 40109 | Range | 30460 | Range | 37703 | Minimum | 48621 | Minimum | 48621 | Minimum | 51027 |
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SOCIALLY RESPONSIBLE INVESTMENT: IS IT PROFITABLE?∗ PHOEBUS J. DHRYMES Columbia University July 1997; revised June 1998 1 What is Socially Responsible? Before we can answer the question we posed in the title‚ we need to define just what is “socially” responsible. Evidently‚ the meaning varies with time and place‚ since social responsibility is defined by a group’s cultural and ethical values. For example in the middle ages lending with interest was not considered ethical‚ let alone “socially
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between hv and lv in data set. | | | | Variance | population (δ2) | =∑(x-x)2N | x – classmarkx –meanN - population | Average squared deviation from the mean. | | | | | sample(s2) | =∑(x-x)2n-1 | x – classmarkx –meann - sample | | | | | Standard Deviation | population (δ) | =∑(x-x)2N | | is square root of the average deviation from the mean‚ or simply the square root of the variance. | Square root lang yung result ng variance | | | | sample(s) | =∑(x-x)2n-1 | |
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possible outcome. (3)Standard Deviation of Return: Risk refers to the dispersion of a variable. It is commonly measured by the variance or the standard deviation. The variance of a probability distribution is the sum of the squares of the deviations of actual returns from the expected return‚ weighted by the associated probabilities. 2 = ∑ p(i)*{*R(i)-E(R)]} 2 where‚ 2 =variance‚ R®=return for the ith possible outcome‚ p(i)=probability
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Practice Quiz I 1. The following bar chart describes the results of a survey concerning the relevance of study to present job by school. Focus on the School of Business and Management. What are the mode and the median respectively? (a) Relevant‚ Neutral (b) Relevant‚ Relevant (c) Neutral‚ Relevant (d) Neutral‚ Neutral 2. Some graphical descriptions of final examination scores for students of a Statistics course are given below. Please indicate which one is false. (a) (b) (c)
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Contents Univariate Data 2 Central tendency 2 Mean 2 Median 3 Mode 3 Trimean 3 Trimmed Mean 3 Spread 3 Range 3 Semi Inter Quartile Rang 3 Variance and Standard Deviation 3 Skew 3 Graphical Representations 4 Frequency Polygons& Cumulative Frequency Polygons 4 Histograms & Bar Graphs 4 Stem and Leaf plots 4 Box Plots 4 Describing Bivariate Data 4 Scatterplots 4 Pearson’s Correlation 4 Spearman’s Rho 4 Probability 4 Binomial Distribution 4 Assumptions:
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Version 1 FINANCE 261 FINANCE 261 Test Answer Sheet Name: __________________________________________ Student ID Number:_______________________________ Please use CAPITAL LETTERS when writing your answers. Question Answer Question Answer Question Answer 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Question Answer 16 17 18 19 20 1 Version 1 FINANCE 261 THE UNIVERSITY OF AUCKLAND Department of Accounting and Finance FINANCE
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