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

Closing Stock , How to calculate closing stock in Tally while we are postin...

How to calculate closing stock in Tally while we are posting with inventory.

50p3, How do I calculate 50p3?

How do I calculate 50p3?

Conditional probability, The U.S. Department of Transportation reported tha...

The U.S. Department of Transportation reported that during November, 83.4% of Southwest Airlines’ flights, 75.1% of US Airways’ flights, and 70.1% of JetBlue’s flights arrived on t

Ch 7 , .A study of long term phone calls made from general electricss corpo...

.A study of long term phone calls made from general electricss corporate headquarters in fairfeild, conneticuit, revealed the length of the calls, in minutes follows the normal pro

What is a Business-type activity, What is a Business-type activity Reporte...

What is a Business-type activity Reported in the government-wide financial statements. Financed in whole or in part by fees charged to external parties for goods or services that

State appropriate alternative hypotheses, A cognitive psychologists knows t...

A cognitive psychologists knows that concrete words, which easily evoke images (.e.g. "sunset", "truck") are easier to remember than abstract words, but she would like to know if t

Quantitative research methods, I have four assignments that are due tomorro...

I have four assignments that are due tomorrow. Can you help?

How to calculate Median?, Median The median describes the value of the ...

Median The median describes the value of the middle term in data. The data set must be ranked first in increasing order before the middle value is identified. The median separa

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

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