What does it mean for an estimator to be unbiased? (Hint: you do not need to state the formal definition of unbiasedness) SourceSSdfMSNumber of obs%3D935F(2, 932)66.31Model19023273.129511636.56Prob > F0.0000Residual133692895932143447.312R-squared0.1246Adj R-squared0.1227Total152716168934163507.675Root MSE378.74wageCoefficientStd. err.tP>|t|[95% conf. interval]IQ8.503461.824092710.320.0006.88616910.12075age22.190233.9914915.560.00014.3568830.02358_cons-637.3626159.7452-3.990.000-950.8645-323.8608

The topic is an important concept in sampling.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What does it mean for an estimator to be unbiased? (Hint: you do not need to state the formal definition of unbiasedness)

Source
SS
df
MS
Number of obs
%3D
935
F(2, 932)
66.31
Model
19023273.1
2
9511636.56
Prob > F
0.0000
Residual
133692895
932
143447.312
R-squared
0.1246
Adj R-squared
0.1227
Total
152716168
934
163507.675
Root MSE
378.74
wage
Coefficient
Std. err.
t
P>|t|
[95% conf. interval]
IQ
8.503461
.8240927
10.32
0.000
6.886169
10.12075
age
22.19023
3.991491
5.56
0.000
14.35688
30.02358
_cons
-637.3626
159.7452
-3.99
0.000
-950.8645
-323.8608

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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