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

Probabilities, 54% of teens own a music player, the probability that both t...

54% of teens own a music player, the probability that both the parent and the teen own music player is 0.264, what is the probability that parent owns music player given that teen

3-month absolute deviation, For our class homework we prepared a 3-month fo...

For our class homework we prepared a 3-month forecast for sales (12 months with actual sales for each month). What or how do we figure the absolute deviation of the 3-month foreast

Survey statistics, #qa national poll of 1836 respondents indicated that 36%...

#qa national poll of 1836 respondents indicated that 36% support the NDP. Test whether this is sufficient evidence to show that the NDP support has increased since the election. Us

Discrete random varible, A probability distribution is partially given in t...

A probability distribution is partially given in the following table with the additional information that the even values of X are equally likely. Determine the missing entries in

Classification of raw data with example tables, Classification of raw data ...

Classification of raw data on the basis of homogeneous characteristics

Calculate the difference quotient and average velocity, A girl named Alice ...

A girl named Alice fell asleep during a discussion about the difference quotient. She did not think it could possibly have anything to do with real life. While dreaming she saw

Financial accounting, During October, Alcorn Company had 81,250 of cash rec...

During October, Alcorn Company had 81,250 of cash receipts and 83,688.00 of cash disbursements. The October 31 cash balance was 14,060. Determine how much cash the company had at

Calculate the npv of machine, Kenneth Su Gold Corp (KSGC) is considering th...

Kenneth Su Gold Corp (KSGC) is considering the purchase of a new piece of machinery. The new machinery would cost $80,000. You are given the following facts: The new machine

Costing for labour, ways or techniques for labour control policy

ways or techniques for labour control policy

International financial reporting standards-ifrs, IFRS: IFRS (Internationa...

IFRS: IFRS (International Financial Reporting Standards) is a set of accounting standards that were developed as global standard. The IFRS was developed by IASB (International Acc

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