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

Sampling survey ., List all possible simple random samples of size n = 2 th...

List all possible simple random samples of size n = 2 that can be selected from the population {0, 1, 2, 3, 4}. Calculate 2 s for the population and Var y( ) for the sample.

Covariance , how can write co variance using summation notation

how can write co variance using summation notation

Cash equivalent., Cash equivalent Short-term: highly liquid investments th...

Cash equivalent Short-term: highly liquid investments that are together [1) readily convertible to known amounts of cash & [2) so close to their maturity that they there insignifi

Arithmetic mean, What are the uses of arithmetic mean?

What are the uses of arithmetic mean?

Quartile deviation, find quartile deviation from the student test marks of ...

find quartile deviation from the student test marks of your own

Draw a scatter diagram relating cigarette, The following data relating ciga...

The following data relating cigarette smoking and death rates for lung cancers in 14 states in the USA. The data are based in part on records concerning 1960 cigarette tax receipts

Description of sample at baseline, Description of Sample at Baseline 1...

Description of Sample at Baseline 1. Describe the sample characteristics and baseline values, comparing the two groups'characteristics. With any analysis, the first step

Anova, How to interpret Anova

How to interpret Anova

Probability, A certain manufactured item is visually inspected by two diffe...

A certain manufactured item is visually inspected by two different inspectors. When a defective item comes through the line, the probability that it gets by the first inspector is

Descriptive analysis , All Excel output should be copied into a single Word...

All Excel output should be copied into a single Word document where you must enter all of your responses to the questions below. Format the document professionally so it flows well

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