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

Standard costing, Standard costing In contemporary price sales, the idea...

Standard costing In contemporary price sales, the idea of documenting traditional expenditures was taken further, by assigning the organization''s set expenditures over a given

AMOUNT AVAILABLE IN DEBT SERVICE FUNDS , AMOUNT AVAILABLE IN DEBT SERVICE ...

AMOUNT AVAILABLE IN DEBT SERVICE FUNDS An "other debit" common journal value used in the General Long-Term Bills Additional Consideration that designates the quality of resources

Statistics in plural and singular form, how to deffine statistics in plura...

how to deffine statistics in plural and singilar form

Balance sheet test, told my friend I would help on a test, and now, think i...

told my friend I would help on a test, and now, think its beyond me LOL...want to save face, can you help me?

Correlation and Regression, WHAT IS THE RELATIONSHIP BETWEEN REGRESSION COE...

WHAT IS THE RELATIONSHIP BETWEEN REGRESSION COEFFICIENT BYX BXY AND CORRELATION COEFFICIENT R?

Mariginal costing, marginal costing and its break-event analysis

marginal costing and its break-event analysis

Magnet, Why Magnet show north south pole

Why Magnet show north south pole

Payroll, is about deductions

is about deductions

Linear modelling, what is a difference between a linear model and a linear ...

what is a difference between a linear model and a linear model

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