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

Revenue recognition assigment, When selling books through insaltalments and...

When selling books through insaltalments and internet, what is an alternative selling method for better revenue recording?

Atomistic fallacy, Atomistic fallacy The fallacy which arises because of...

Atomistic fallacy The fallacy which arises because of the association amongst the two variables at the individual level might differ from the association between the similar two

Financial statements, Write a report to an investor by comparing the financ...

Write a report to an investor by comparing the financial statements for two different companies

Logistic regression model, Model 1:  Let's consider the logistic regression...

Model 1:  Let's consider the logistic regression model, which we will refer to as Model 1, given by log(pi / [1-pi]) = 0.25 + 0.32*X1 + 0.70*X2 + 0.50*X3

Test statistic and the p-value, An experimental surgical procedure is being...

An experimental surgical procedure is being studied as an alternative to the old method. Both methods are considered safe, but the new method has the potential to reduce operating

Stats, 1. A search engine site claims that, on average, one out of five vis...

1. A search engine site claims that, on average, one out of five visitors clicks on an ad. (a) If 8 users visit the site, what is the probability that at least three click on an a

How would you go about choosing a random sample, Q. Suppose a study is bein...

Q. Suppose a study is being done and the population is the American public. How would you go about choosing a random sample population to phone for a survey? Solution: One w

Cost of preference sharea, A company wishes to issue new preference shares;...

A company wishes to issue new preference shares; the company will incur flotation cost of 2% per share. the market value of this shares is $90 per share & a nominal value of $100 p

QUANTITATIVE METHODS., A LARGE SHIPPPING COMPANY RECORDED THE NUMBERS OF TO...

A LARGE SHIPPPING COMPANY RECORDED THE NUMBERS OF TONS SHIPPED WEEKLY ACROSS THE PACIFIC FOR 50 WEEKS. ARRANGE DATA IN A LESS THAN CUMULATIVE DISTRIBUTION USING SEVEN CLASSES OF E

School based assesment, I need help with ledger accounts and the financial ...

I need help with ledger accounts and the financial statement

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