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

Process costing - accounting for scrap.., a company has two processes whose...

a company has two processes whose details are as follows: Materials 3000kg @ k0.30/kg, labour K120 for process 1 and material 2000kg @ k0.40/kg and labour k84 for process 2. actual

Measures of central tendency, MEASURES OF CENTRAL TENDENCY: 1) What do...

MEASURES OF CENTRAL TENDENCY: 1) What do you mean by the term "Statistics"? Also state the importance of statistics. 2) What is the difference between mean, median and mode

Sampling Error, Use the concepts of sampling error and z scores to explain ...

Use the concepts of sampling error and z scores to explain the concept of distribution of sample means.

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.

Determine the probability - probability example, 1. This question has multi...

1. This question has multiple parts. For a distribution of scores with = 82 and standard deviation = 2.5, find the following: (Don't forget to sketch the normal curve to help

Semi average trend values, Year : 2008 2009 2010 2011 2012 2013 sale : 111 ...

Year : 2008 2009 2010 2011 2012 2013 sale : 111 120 114 123 117 126

Balance of payments and mobility of labor & capital, Balance of Payments, M...

Balance of Payments, Mobility of Labor and Capital, Trade and Wages Balance of Payments 1. Will a country running a trade deficit import or export capital?  Explain. 2.

Identify interaction between estimators and jobs, Q1.(i) The logistics depa...

Q1.(i) The logistics department of a large firm employs three "estimators" whose job it is to decide the likely cost of delivering their products to their customers.  This enables

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