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Assignment 1.2

# Assignment 1.2 - constant When the bins have different...

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Assignment: 1 Econ 257 Name: Jawad Islam ID:260353581 Mean Xa- -7.16266E-05 Mean Xb- 0.899514724 1a) Sample Means: Mean: Sum / Number of samples Var (a) 0.33055 Var (b) 1.691953 Sample Variances: I f the random variable X is discrete with probability mass function x 1 p 1 , . .., x n p n , then Skewness Coefficient Xa 0.099992 Skewness Coefficient Xb 1.221804 Co-efficient Skewness: 3 (mean − median) / standard deviation. Standard Error:

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Where s= sample standard deviatian and n= 300 (number of samples) the standard deviations for Xa and Xb are Std dev Xa 0.574935 Std dev Xb 1.300751 Median Xa -1.92E-02 Median Xb 3.70E-01 b) Median : C) HISTOGRAMS: FOR DATA SERIES Xa: FOR DATA SERIES Xb: Standard error Xa: 0.033194 Standard error Xb 0.075099
Cont. of c) When the bins all have the same width, the resulting histograms all have the same shape, with the heights varying by some
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Unformatted text preview: constant. When the bins have different widths, count and probability are still similar, but probability density differs. For probability density, the probability is divided by the width of the bin, so that the total area of the rectangles sums to one. Hence, changing the bin width from 0.01 to 1 would sharply cause the height of the histogram to fall. d) Y= Xb+4 Z=3Xb W=3Xb+4 V= W+Y Mean Y: 4.90E+00 Mean Z: 2.70E+00 Mean W: 6.70E+00 Mean V: 1.16E+01 Variance Y: 1.691953 Variance Z: 15.22758 Variance W: 15.22758 Variance V 27.07125...
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Assignment 1.2 - constant When the bins have different...

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