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

Find an equivalent martingale and state prices, It is a sunny Tuesday after...

It is a sunny Tuesday afternoon in the perfectly manicured harbourside city of Sydney. Dressed in your favourite pin stripe Gucci (Black Label thank you very much) and those hand c

Determine the coefficient of determination, A researcher is interested in t...

A researcher is interested in the relationship between fathers' performance in high school and their children's social skills.  She obtains the high school transcripts of fathers a

Probability, a survey of grocery revealed 40 percent had a pharmacy, 50 per...

a survey of grocery revealed 40 percent had a pharmacy, 50 percent had a floral shop, and70 percent had a deli. suppose 10 percent of the stores have all three departments, 30 perc

Index numbers, discuss the considerations to be born in mind when constract...

discuss the considerations to be born in mind when constracting index numbers

Automated clearing house (ach) , Automated clearing house (ach) A across ...

Automated clearing house (ach) A across the country settlement and selection program that provides for automated submission and arrangement of resources. Although the phrase Elec

Index number, How to solve problems of index number fixed based method

How to solve problems of index number fixed based method

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

Calculate the posterior variance and mean, 1. Suppose that there is a Beta(...

1. Suppose that there is a Beta(2,2) prior distribution on the probability µ that a coin will yield a "head" when spun in a speci?ed manner. The coin is independently spun 10 times

Central tendency, explain the graphical method of measure of central tenden...

explain the graphical method of measure of central tendency.

Characteristics of data in statistics, Important Characteristics of Data ...

Important Characteristics of Data Center - The representative or average value which indicates where the middle of the data is located.   Variation - the measur

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