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

Cash flow, A business starts out with a cash balance of £1,000. It then mak...

A business starts out with a cash balance of £1,000. It then makes the following transactions: Buys inventory on credit for £500 Sells a non-current asset for £100 cash Sells goods

Managerial, Kody Corporation uses a job-order costing system with a plantwi...

Kody Corporation uses a job-order costing system with a plantwide overhead rate based on machine-hours. At the beginning of the year, the company made the following estimates:

Lpp, A paper mill produces two grades of paper viz., X and Y. Because of ra...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

How long it takes a ball to fall to the bottom of a cone, A game that frien...

A game that friends and I try to play to guess how long it takes a ball to fall to the bottom of a cone and how many revolutions around the cone it will take. I do not have a lot

Describe the statistical results, Q1. A software developer is interested in...

Q1. A software developer is interested in finding what the best color theme should be for an engine diagnostic program for the flight line. He is considering three different color

DATA EDITING, THE SIGNIFICANCE OF DATA EDITING

THE SIGNIFICANCE OF DATA EDITING

Calculate the standard error and confidence interval, 1. You have a regiona...

1. You have a regional country-year dataset over 10 years of 150 total observations, within this data you have 25 observations where the ruling party has lost power. (a) Assumin

DATA fREQUENCY, Table 2: Mathematics Score/Jadual 2: Skor Matematik 27 37 3...

Table 2: Mathematics Score/Jadual 2: Skor Matematik 27 37 30 28 39 25 45 28 32 28 26 38 31 30 47 41 a) Based on Table 2, organize the data into a frequency distribution by taking

Financial decision making managers, Income statement: Sosa Corporation rece...

Income statement: Sosa Corporation recently reported an EBITDA of $31.3 million and $9.7 million of net income. The company has $6.8 million interest expense, and the corporate tax

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