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

Co-relation, Co-relation: Co-relation in this case studies the behavior how...

Co-relation: Co-relation in this case studies the behavior how each of the investment opportunity would react to any event vis – a vis each other. The same is measured in terms of

What is an irrevocable letter of credit?, What is an irrevocable letter of ...

What is an irrevocable letter of credit? A permanent mail of credit score is a financial instrument used by banks to guarantee a customer's obligations to a supplier. It is perm

Sampling errors, what are the types of sampling errors and their causes?

what are the types of sampling errors and their causes?

Probability, There are 49 mice in a pet shop. 30 mice are white. 27 mice ...

There are 49 mice in a pet shop. 30 mice are white. 27 mice are male. 18 mice have short tails. 8 mice are white and have short tails. 11 mice are male and have short tails.

Give the appropriate choice of the null hypothesis, 1 . Below are the point...

1 . Below are the points scored by the winning team in Week 10 of NFL professional football games this Fall, 2011. 24 17 44 13 21 24 30 20 37 26 17 22 27 37 37 45 a) Use thes

Benefits of financial sales, Expertsmind.com offering Uses of Financial Ac...

Expertsmind.com offering Uses of Financial Accounting Financial Accounting Sales performs important and useful part by creating the details for offering solutions to many conc

Calculate regression analysis, Questions In a regression analysis, a nu...

Questions In a regression analysis, a nurse researcher found a correlation of .82 between pain relief scores and satisfaction with nursing care.  She also calculated the follow

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