Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. to complete this exercise you need a software pack

To complete this exercise you need a software package that allows you to generate data from...

80.2K

Verified Solution

Question

Physics

To complete this exercise you need a software package thatallows you to generate data from the uniform and normaldistributions.

(i) Start by generating 500 observations xi - the explanatoryvariable - from the uniform distribution with range [0,10]. (Moststatistical packages have a command for the Uniform[0,1]distribution; just multiply those observations by 10.) What are thesample mean and sample standard deviation of the xi?

(ii) Randomly generate 500 errors, ui, from the Normal[0,36]distribution. (If you generate a Normal[0,1], as is commonlyavailable, simply multiply the outcomes by six.) Is the sampleaverage of the ui exactly zero? Why or why not? What is the samplestandard deviation of the ui?

(iii) Now, generate the yi as

??=1+2??+??≡?0+?1??+??

that is, the population intercept is one and the populationslope is two. Use the data to run the regression of yi on xi. Whatare your estimates of the intercept and slope? Are they equal tothe population values in the above equation? Explain.

(iv) Repeat parts (i), (ii), and (iii) with a new sampleof data, starting with generating the xi

??=0.5×??

Now what do you obtain for b0 and b1? Why are thesedifferent from what you obtained in part (iii)? Explain why indetail.

Answer & Explanation Solved by verified expert
4.3 Ratings (735 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

General Management
1.2K views

You are a new Athletic Director at a small Division II university. The athletic program that...

Biology
1.2K views

"To be healthy, teens can exercise, eat nutritious foods, and keep themselves safe. First, participating...

Biology
1.2K views

18 Listen When climbing a mountain we can observe transitions in biological communities that are...

Geometry
1.2K views

Find the volume of the sphere whose radius is 10 cm Use 3 14 1...

Basic Math
1.2K views

4 41 WP Refrigerant 134a enters an insulated compressor operating at steady state as saturated...

Basic Math
1.2K views

Solve the exponential equation. Leave your answer in exact form.7* = 53The exact solution is...

Calculus
1.2K views

10 If a ball is thrown vertically upward with a velocity of 80 ft s...

Algebra
1.2K views

Let d ghi Sa 56 10c A d e2f 9 h 21 Then A B...

Accounting
1.2K views

What is often considered a danger sign for a...

Accounting
1.2K views

Need help with this question? Presented below are certain account balances of Paczki Products...

Accounting
1.2K views

PROBLEM 7-16A Schedules of Expected Cash Collections and Disbursements [LO2, LO4, L08] Calgon Products, a...

Finance
1.2K views

Being Human, Inc., recently issued new securities to finance a new TV show. The project...