11. 11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flowthat are subject to errors with zero mean and a common variance. The random variables X,Y andZ denotes the observed readings respectively for these meters while the true (unknown) readings are01, 62 and 63 respectively with 03 = (01 + 02). ThusE(X1) = 01, E(X2) = 02 E(X3) :Xx) = }(61 + 02), withOver the period when it is believed that 6, and 62 have not changed; n readings of X, n readingsof Y and n readings of Z were taken. They were (r1,12, ..., 1n), (y1, 42, -- n) and (21, 2, ..., zn) andmay be assumed to be independent. Determine the least squares estimators of 61, 62 and 63.Var(X1) = Var(X2) = Var(X3) = o².

Name: 11. 11. In a part of an oil refinery, oil flows through three meters
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 11. 11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flowthat are subject to errors with zero mean and a common variance. The random variables X,Y andZ denotes the observed readings respectively for

Answered: Image /qna-images/answer/96096494-7247-4b4f-a456-9efc885c6c3a.jpg

Math

Statistics

11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flow that are subject to errors with zero mean and a common variance. The random variables X, Y and Z denotes the observed readings respectively for these meters while the true (unknown) readings are 61, 62 and 63 respectively with 63 = (0 + 02). Thus %3D E(X1) = 61, E(X2) = 62 E(X3) =;(61 + 62) , with Over the period when it is believed that 61 and 62 have not changed; n readings of X, n readings of Y and n readings of Z were taken. They were (1, 12, .-. In), (yı, 42; ---- Yn) and (z1, 2, --- zm) and may be assumed to be independent. Determine the least squares estimators of 61, 62 and 03. Var(X1) = Var(X2) = Var(X3) = o².

11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flow that are subject to errors with zero mean and a common variance. The random variables X, Y and Z denotes the observed readings respectively for these meters while the true (unknown) readings are 61, 62 and 63 respectively with 63 = (0 + 02). Thus %3D E(X1) = 61, E(X2) = 62 E(X3) =;(61 + 62) , with Over the period when it is believed that 61 and 62 have not changed; n readings of X, n readings of Y and n readings of Z were taken. They were (1, 12, .-. In), (yı, 42; ---- Yn) and (z1, 2, --- zm) and may be assumed to be independent. Determine the least squares estimators of 61, 62 and 03. Var(X1) = Var(X2) = Var(X3) = o².

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Suppose ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with…

A: Formula to be used: The formula to calculate the confidence interval for the difference between…

Q: Personal wealth tends to increase with age as older individuals have had more opportunities to earn…

A: (d). Determine there is a significant relationship between wealth and age at the 10% level of…

Q: 40. Two regression lines of a sample are X+6Y=6 and 3X+2Y 0. Find the correlation coefficient.

Q: The entited being studied are referred to as the sample. True or False 99.7% of sample…

A: Empirical rule : 99.7% of sample measurements will fall within 3 standard deviations of the sample…

Q: Q1. (3 points) Suppose that samples of size 36 are selected at random from a normal population with…

Q: As part of a wide ranging study of health and nutrition, investigators collected information for a…

A: Introduction :- From given data we have to find most appropriate statement.

Q: Personal wealth tends to increase with age as older individuals have had more opportunities to earn…

A: Note: Hey, since multiple sub parts are posted, we will answer first three sub parts according to…

Q: Table 2 gives the output for 8 cropping seasons of Sweet Spring Country Farm that used each of 4…

Q: Personal wealth tends to increase with age as older individuals have had more opportunities to earn…

A: Hi, thanks for posting the question. Since there are more than three sub parts posted in the…

Q: A track coach creates a new training program to improve his team’s performance in the 200m race. He…

A: State the hypotheses.

Q: All pacemakers generate a pulse of current to depolarize a bit of the heart, the wave then…

A: Given : Claim : standard deviation σ is less than 0.06

Q: Are Men and Women Equal Talkers? A headline in USA Today proclaimed that “Men, women are equal…

A: Hi! Thank you for posting the question. Since you have posted multiple questions, we are answering…

Q: Two zero-mean random variables X and Y have variances o =9 and o = 4. The %3D correlation…

Q: 55. Explain from the data given below whether A and B are independent. positively associated or…

Q: Show that if X₁ and X₂ are standard normal variate with correlation cofficient p between them, then…

Q: Problem 4. The average level of expenditure of students living in Bucharest, estimated based on a…

A: Given : Bucharest : mean = 800 sample size = 150 variance = 40 Vienna : mean = 950 sample size = 180…

Q: Consider (Y, X) values in a population as (8, 2), (9, 3), (10, 3), (12, 5), (14, 6), (16, 6) and…

Q: According to the National Health Interview Survey, 2007, Avg height for men = 69.93 inches…

A: The average weight for men is 192.78 lbs.

Q: on the basis of the value of linear correlation coefficient, would you conclude, at the /r/>0.9…

A: Correlation coefficient: It defines the linear relationship between 2 variables.

Q: 13. The following table shows summary data on mercury concentration in salmons (in ppm) from two…

A: The summary data on mercury concentration in salmon (in ppm) from two different areas of the Pacific…

Q: If two distinct values of the variate are given when is the covariance or coefficient of correlation…

Q: What is the Pearson's r correlation coefficient between two variables X and Y if their covariance is…

A: Given that,the covariance between X and Y is the standard deviation of X is the standard deviation…

Q: uppose a state has a Child death rate of 15. Predict the actual infant mortality rate for this state…

A: Regression line Y = 5.729936 + 0.057736CDR Mean of CDR = 24.18013

Q: 05.80 200.27 199.67 198.83 197.17 193. art (b) 04 71 199 98 199.30 197 76 198.04 193

A: Let xi; (i=1,2,...n) be the random sample of size n from the normal population with mean μ and…

Q: Solve this part independently). A random sample of 6 National bank employees was taken to help…

A: Given : Sample size (n) = 6 Sample data (X) : 13 , 5 , 6 , 10 , 7 , 12 ∑X = 53 Sample variance (S2)…

Q: 6. There is a class of 80 students taking Maths and English lectures; the regression equation of…

A: y = a + bx where b = slope

Q: a regression line of Y on X, the variable Y is know as random variable dependent variable…

A: The general form of the regression line is: Y^=a+bX Where ′Y^ is the predicted value, 'a' is the…

Q: At ? = 0.10, can it be concluded that there is a difference in means of time spend for studying…

Q: Suppose you fit a simple Poisson model such that In A = XB where B = 1.9. What would the variance be…

A: Given data

Q: 21 - The average weekly income of 50 students randomly selected from a class is 250 TL with a…

A: The variable with the greatest variance will be the one having the largest variation Here the sample…

Q: If X Gamma(4,6) the the variance of X is 4 24 144

Topic Video

Question

100%

11. 11. In a part of an oil refinery, oil flows through three meters A, B and C which give readings of flow
that are subject to errors with zero mean and a common variance. The random variables X,Y and
Z denotes the observed readings respectively for these meters while the true (unknown) readings are
01, 62 and 63 respectively with 03 = (01 + 02). Thus
E(X1) = 01, E(X2) = 02 E(X3) :
Xx) = }(61 + 02)
, with
Over the period when it is believed that 6, and 62 have not changed; n readings of X, n readings
of Y and n readings of Z were taken. They were (r1,12, ..., 1n), (y1, 42, -- n) and (21, 2, ..., zn) and
may be assumed to be independent. Determine the least squares estimators of 61, 62 and 63.
Var(X1) = Var(X2) = Var(X3) = o².

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5: R code

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
The frequency distribution table below is the net weight of a sample of candied fruit products in the food industry cans "ABC": - How many cans have a net weight of less than 20.2 grams. - If we want to compare about the distribution of net weight with the food company "XYZ" for the same type of product. And it is known that the average and variance is 20 grams and 0.04 grams. Which food company has an even distribution of net weight.
A researcher found a significant correlation of .12 between gender (coded as 0 = ‘male’ and 1 = ‘female’) and number of friends at university. If the assigned values of gender were changed to 1 = ‘female’ and 2 = ‘male’, how would this affect the correlation? The strength of the relationship would become weaker The amount of variance explained by the relationship would increase It would become nonsignificantThe sign would change to become negative A researcher is trying to predict anxiety (measured on a 7-point scale) from exposure to stress (operationalised as the number of stressful life events participants can recall in the last week). She has found a correlation coefficient of r = .54 between anxiety and stress, with a standard deviation of 4.45 for anxiety and a variance of 17.21 for stress. What other information is needed to calculate b? The sums of squares of stressThe sums of products of anxiety and stress The covariance of anxiety and stressNo other information is…
18. A set of n = 52 pairs of scores (X and Y values) in a research study has a Pearson correlation of r = -0.7. What percentage of the variance for the Y scores is predicted by its relationship with X?
Calculate estimates of the standard deviations sz, Sy of the samples r = (5,9, 7) and y = (-1,2,5) as well as the Pearson coefficient of correlation rry of r and y. Which of the following answers are correct? a) sz = 4, sy = 9 b) rzy = 0 c) sz = 2, sy = 3 d) Tzy = } e) rzy =
A correlation coefficient might not have an appropriate relationship between two variables. This can happen between two variables when A. it is highly scattered B. is nonlinear is some way C. has a directionality problem