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

The value of its common stock, The Washington Corp stock has a β of 1.15 an...

The Washington Corp stock has a β of 1.15 and it will pay a dividend of $2.50 next year. The expected rate of return of the market is 17% and the current riskless rate is 9%. The e

Confidence interval, 1. Provide an overview of the scenario and the variabl...

1. Provide an overview of the scenario and the variable involved. Include an explanation of why and how constructing the confidence interval adds value. I.e., why might this inform

Writing Appropriate Null and Alternative Hypotheses, For this assignment, y...

For this assignment, you will practice creating null and alternative hypotheses of difference based on the presented scenarios. To complete this assignment, consider the three scen

Sum, 3. In a management class of 100 students’ three languages are offered ...

3. In a management class of 100 students’ three languages are offered as an additional subject viz. Hindi, English and Kannada. There are 28 students taking Hindi, 26 taking Hindi

Budgets and budgetary control, Budgets and budgetary control A fund is...

Budgets and budgetary control A fund is an operating plan for a business, ready in progress. Funds may be set in money conditions, egg a revenue funds of £500,000, or it can

Statistics, 1. A search engine site claims that, on average, one out of fi...

1. A search engine site claims that, on average, one out of five visitors clicks on an ad. (a) If 8 users visit the site, what is the probability that at least three click o

Capitalization policy, Capitalization policy The criteria used to decide w...

Capitalization policy The criteria used to decide which capital outlays should be reported as capital assets on the whole state are financial statements,

Is the coin biased, A coin that is balanced should come up heads half the t...

A coin that is balanced should come up heads half the time in the long run. A coin is tossed 4040 times and gives 2085 heads. Is the coin biased? Use Alpha = .05. (State the Hypoth

Surveys through schedules, Under this methods the enumerators are appointed...

Under this methods the enumerators are appointed and given training. They are provided with schedules containing relevant questions. These enumerators go to respondents with the

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