User Account

All Pages

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

Normal curve and the standard deviation, What is the relationship between t...

What is the relationship between the normal curve and the standard deviation? Name and explain three special features of a normal distribution

Simple arithamatic mean, following the hight of studen 155,153,168,160,162...

following the hight of studen 155,153,168,160,162,166,167,180,257,165,

Probability, Find the z value corresponding if the area to the left of the ...

Find the z value corresponding if the area to the left of the z is 0.9452

Proton-neutron hypothesis, This hypothesis was put forward by Heinsberg aft...

This hypothesis was put forward by Heinsberg after the discovery by Chadwick. According to this hypothesis, a nucleus of mass number A and atomic number Z contains Z protons, and

T distribution, t distribution has proportionately smaller areas in its tai...

t distribution has proportionately smaller areas in its tail than normal distribution. is it true?

Angler survey, Angler survey A survey used by sport fishery managers t...

Angler survey A survey used by sport fishery managers to calculate the total catch, fishing effort and catch rate for the given body of water. For instance, the whole effort m

Measure central tendency, 1. A researcher is comparing two middle school 7t...

1. A researcher is comparing two middle school 7th grade classes. One class at one school has participated in an arts program (involving putting on a musical play) which emphasized

Pie diagram, A survey was conducted among the residents of Pune City, its s...

A survey was conducted among the residents of Pune City, its suburbs and the Pune Cantonment area. The following three pie diagrams show their respective preferences for living in

Probability, Suppose I ask you to pick any four cards at random from a deck...

Suppose I ask you to pick any four cards at random from a deck of 52, without replacement, and bet you one dollar that at least one of the four is a face card (i.e., Jack, Queen, o

Why do organisations need a structure, Question 1: (a) The grouping of ...

Question 1: (a) The grouping of organisational activities (usually into ‘departments' or larger ‘divisions') will be done in different ways. Outline the criteria which can be u

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd