9.Show that if t is a consistent estimator of 0, then ť is a6.consistent estimator of 0'.

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Answered: 9. Show that if t is a consistent…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 54E

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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.
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
Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
1. In an epidemic, the probability of having S|D is 0.2 and P(D) = 0.1. P(S|D') = 0.04 and P (D') = 0.01. What is the P(D|S)? 2. The relationship between weight and age was found to have a linear relationship, with expression weight= 3.0 (age) +10. Predict the weight of a girl whose age is 20 years? 3. A. If a z score of 1.95 is equal to a p of 0.9744, what proportion is greater than1.95 B. From question A, what proportion is between the mean and 1.95? 4. If a the constant for a regression is 0.8 and the standard deviation for the x variables is 4 while the standard deviation for the y variables is 6. What is the correlation coefficient r? 5. In a class of 20 students, twelve take mathematics and genetics, while eight take genetics only. What is the probability of selecting a student who takes only mathematics?
It T is an unbiased estimator for 0, show that T² is a biased estimator for &.
3. The mean hourly wage W (in dollars) of chemists in the United States from 2000 through 2014 can be modelled by W = 0.903t + 26.08, 0 sts 14 where t represents the year, t = 0 corresponding to 2000. (a) Based from the model, when was the mean hourly wage at least $30, but not more than $32? (b) Use the model to predict when the mean hourly wage will exceed $45 (Larson, 2018).
5. Suppose the study conducted showing gender difference in salary of management graduates students Y=25.20 +8.25D + 1.25X t (32.85) (10.45) (15.11) Where Y is income in thousands Find, D is a dummy variable taking on the value of 1 if male 0 for female X = years of experience a. Mean salary of females assuming zero years of experience b. Mean salary of Males assuming three years of experience

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9. Show that if t is a consistent estimator of e, then ť is a consistent estimator of 0°.