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

Perform multiple regression, You have collected data on 4 continuous variab...

You have collected data on 4 continuous variables (diastolic BP, age, weight, and average number of minute of exercise per week)you think may be related to total cholesterol levels

X2 test uses, The  χ 2  test is one of the most popular statistical infe...

The  χ 2  test is one of the most popular statistical inference procedures today. It is applicable to a very large number of problems in practice which can be summed up under th

Analyze anova , A nurse researcher is investigating the effect of timing of...

A nurse researcher is investigating the effect of timing of standard pain control interventions on severity of pain in adolescents with sickle-cell disease.  She establishes three

Probability, Consider the two events A and B with P(A) = 0.4 and P(B) = 0.3...

Consider the two events A and B with P(A) = 0.4 and P(B) = 0.3. (a) If A and B are independent then compute the probability that Both A and B happen

Cost control, how to make assignment maintenance cost control

how to make assignment maintenance cost control

Correlation, difference between positive and negative correlaiton

difference between positive and negative correlaiton

Compute the z scores, 1. Compute the z scores for the following raw scores ...

1. Compute the z scores for the following raw scores where   = 78 and the standard deviation = 4. a. 72 b. 82 c. 78 d. 87 e. 71

FIFO, how to figure out cost of good available for sale, cost of sales, end...

how to figure out cost of good available for sale, cost of sales, ending inventory

Differences between ifrs and gaap, While the differences between IFRS and G...

While the differences between IFRS and GAAP are reducing, there still are significant differences between the two. While the IFRS has been developed by the IASB (International A

Mode, things to be investigate in mode

things to be investigate in mode

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