User Account

All Pages

R programm, statistics, Basic Statistics

Assignment Help:
1. Generate a large dataset ( at least 1000 observations) µ with a known mean, µ between 20 and 40 and variance s = 9 using rnorm(). identify it as D. Use the functions mean() and var() to get the mean and vaiance of the sample.
2. Use t.test(D, mu=0) to check if the mean of your realizations, ¯x is signi?cantly
different from zero, from µ1, and from (µ0:1).
3. produce a histogram for D with vertical lines at the 0.25
th
and the 97.5
th
quantiles.
4. generate 10 samples of 20, S1 .....S10 with random means using S1<- rnorm(20,runif(1,min=0,max
= 80)), then calculate means and variances for each.
5. Use t.test(D, S1) to check if the sample means for S1 .....S10 are likely to have come
from the same population as the large distribution D. This Stat Trek webpage is a
good source. You should be using 2-tailed tests.
6. Explain the difference between a one-tailed test and a two-tailed test.
7. Create two variables, x and y, where y is a deterministic linear function of x. Show
the formula you used.
8. Generate a plot of y against x.
9. Calculate the correlation between y and x.covariance of y and x.
10. Create a new variable, yRan, that is like y except that it contains some random noise.
11. Calculate the correlation between yRan and x and the covariance of yRan and x.
12. Add more noise to yRan. Calculate the covariance of yRan and x and the Pearsonian correlation coef?cient. State how adding more noise affects the correlation
coef?cient.
13. Conduct the following experiment. Start with a deterministic function as in part 8
with a positive slope. Add some noise. Now systematically reduce the slope from
positive to negative, taking care to make quite a few observations near zero. Keep
the noise parameters constant. Make a table showing the slope vs the correlation
coef?cient.
14. Plot the slope vs the correlation coef?cient from the previous question and say what
you learn from the exercise.

Related Discussions:- R programm, statistics

Estimate the probability , The Video Club Martin rents movies at "regular p...

The Video Club Martin rents movies at "regular price" andat  "half price". Usually if the films are regularly priced one day, they will be at regular price the next day with probab

Normal distribution probabllity, The annual precipitation amounts in a cert...

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 89 inches, and a standard deviation of 16 inches. What is the probability that

Operation research, A paper mill produces two grades of paper viz., X and Y...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Variables, what is variable mean

what is variable mean

#title. .decision tree, Assume that you have a client that is a paper manuf...

Assume that you have a client that is a paper manufacturer and they have expressed concern that the government will pass a new regulation banning the use of chlorine-based technolo

Time series, discuss the nature and causes of the components of an economic...

discuss the nature and causes of the components of an economic time series?

Abdullahi, why should cofficient of variation be used to compare the disper...

why should cofficient of variation be used to compare the dispersion?

What is inference, Q. What is Inference? Ans. Inference is the pro...

Q. What is Inference? Ans. Inference is the process of deriving conclusions based on facts or premises. We often make inferences based on the results of statistical studi

Adjusting entries, The notes receivable were accepted from several customer...

The notes receivable were accepted from several customers. The notes were issued on Sept. 1,2011 and will be settled together with a 20% interest on May 31, 2011.

Radioactive Disintegration Laws, Soddy and Rutherford, from their experimen...

Soddy and Rutherford, from their experimental study regarding the radioactive disintegration formulated the following laws, known as laws of radioactive disintegration. 1. Radioac

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd