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

Relevant costs to decision-making , Foster Company makes 20,000 units per y...

Foster Company makes 20,000 units per year of a part it uses in the products it manufactures. The unit product cost of this part is computed as follows: Direct materials $24.70 Dir

Income tax expense, I''m not sure how to calculate the income tax expense.

I''m not sure how to calculate the income tax expense.

Analyzing pre-collected data using spss, This is not a statistics course, b...

This is not a statistics course, but you need to conduct some analyses to help solidify your knowledge and understanding about statistical data analysis.  Now you will use the ' pr

.index number, what are the types of index numbers?

what are the types of index numbers?

Statistics question, 1. A sample from 16 different farms across Quebec show...

1. A sample from 16 different farms across Quebec shows that the hay production in bales per acre is normally distributed N(100,50). a. (2p )What is the probability that a random

Binomial expansion, what is the largest coefficient of (1+3x)^4 is ?

what is the largest coefficient of (1+3x)^4 is ?

Correlation, difference between positive and negative correlaiton

difference between positive and negative correlaiton

Calculate stress in the string, question.. A prevent of huge m1 and bodywe...

question.. A prevent of huge m1 and bodyweight w1 = m1g goes on a stage frictionless exterior. It is attached by a gentle versatile string moving past over a little frictionless l

Correlation and Regression, WHAT IS THE RELATIONSHIP BETWEEN REGRESSION COE...

WHAT IS THE RELATIONSHIP BETWEEN REGRESSION COEFFICIENT BYX BXY AND CORRELATION COEFFICIENT R?

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