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Code No. 80TE
B.Sc Semester (CBCS) December 2018
BMHI 204
Mathematical Methods
Time: 3 Hours
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PART - A (8x5 = 40 Marks)
(Short Answer Type)
Note: Answer any FIVE of the following questions.
- What is scatter diagram? Explain regression existence using scatter diagram.
- Explain the properties of regression coefficients.
- Write about the types of association.
- Positive association
- Negative association
- Define
- Unbiasedness
- Consistency
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- Define sampling distribution and standard error.
- Write about interval estimation.
- Explain estimation by method of moments.
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PART - B (4x15 = 60 Marks)
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(Essay Type)
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- Derive the normal equations for fitting of Y=abx.
- Derive the likelihood equation of Poisson distribution.
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- Define multiple correlation for three variables and give properties of the same.
- If r12=0.7, r13=0.65, r23=0.4, find R1.23.
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- Define consistency of data. Give the conditions for consistency of three variables.
- Let X1, X2, ..., Xn be a random sample from a normal population. Find the maximum likelihood estimator.
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- Define Chi-square Distribution. Derive the relationship between F and Chi-square distributions.
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