Plese solve this without directly copying the solutions online iidConsider data Y1, Y2,... , YnBer(p).1. Find the likelihood, L(p| Y,), and log-likelihood l(p| Yn).2. Find the maximum likelihood estimator, p, and verify that it is a maximum.3. Show that p is unbiased.

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Answered: Consider data Y1, Y2,... , Yn iid…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.

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Consider data Y1, Y2,... , Yn iid Ber(p). 1. Find the likelihood, L(p| Y„), and log-likelihood ((p |Y„). 2. Find the maximum likelihood estimator, p, and verify that it is a maximum. 3. Show that p is unbiased.