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

Study guide, Can you provide me a study guide for accounting please? Can yo...

Can you provide me a study guide for accounting please? Can you give me picture examples & instructions on how to do things that are really easy to understand? I need this for doin

Cost accounting, Problems and solutions in marginal costing

Problems and solutions in marginal costing

Define salaries, Define Salaries Incomes are usually associated with "wh...

Define Salaries Incomes are usually associated with "white-collar" employees such as employees in offices, supervisors, experts, and experts. Paid employees are often paid semi-

Bond redemption, Bond redemption The regaining of control of bonds formerly...

Bond redemption The regaining of control of bonds formerly issued by expense of amount due to the owner.

Management accounting ratio, Management Accounting Ratio A financial rat...

Management Accounting Ratio A financial ratio in management (or accounting ratio) is a relative magnitude of two types of selected numerical values taken from an enterprise''s

Frequency distribution, Ask questionadvantage and disadvantage of frequency...

Ask questionadvantage and disadvantage of frequency distribution #Minimum 100 words accepted#

Variability, the purpose of measures of variability

the purpose of measures of variability

Probability tree, Modern hotels and certain establishments make use of an e...

Modern hotels and certain establishments make use of an electronic door lock system. To open a door an electronic card is inserted into a slot. A green light indicates that the doo

Define the research problem, Choose one of the following four problems depe...

Choose one of the following four problems depending on your area and interest. a. What explains why a particular political candidate wins and his/her opponent loses a tightly co

Write Your Message!

Captcha
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!

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