3. Suppose that E(X) = E(X2) = E(X2) = µ, Var(X) = 7, Var(X2) = 13, and Var(X3) = 20.%3D%3D%3DCalculate the mean square error of the point estimate A to u: a =X +X2 +X3.

Answered: Image /qna-images/answer/d4a63316-45c0-409a-96aa-74c4d0de0525.jpg

Answered: 3. Suppose that E(X) = E(X2) = E(X2) =…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 1SE: Can the average rate of change of a function be constant?

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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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The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02

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3. Suppose that E(X) = E(X2) = E(X2) = µ, Var(X) = 7, Var(X2) = 13, and Var(X3) = 20. %3D %3D %3D Calculate the mean square error of the point estimate A to u: a =X +X2 +X3.