Registered events X in time interval t are distributed linearly n = n0

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SUMMARY

The discussion revolves around the mathematical modeling of registered events X over a time interval t, expressed as n = n0 + bt, with specific values of n0 = 5 and b = 2. Participants seek to derive the probability density function, calculate the average number of registered events per day, and determine the mean squared error. Additionally, they aim to find the probability of registering events on the 5th and 6th days, as well as the average registered events during those days.

PREREQUISITES
  • Understanding of linear equations and their applications in statistics
  • Familiarity with probability density functions
  • Knowledge of mean squared error calculations
  • Basic concepts of event registration and time intervals in statistical modeling
NEXT STEPS
  • Study the derivation of probability density functions in linear distributions
  • Learn how to calculate mean squared error in statistical models
  • Research the application of linear regression in event registration scenarios
  • Explore methods for predicting future events based on historical data
USEFUL FOR

Statisticians, data analysts, and anyone involved in modeling event registrations over time will benefit from this discussion.

amiras
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Registered events X in time interval t are distributed linearly n = n0 + bt. Find probability density function, then t = 10, n0 = 5 and b =2. Find average amount of registered events per day and Mean squared error. Find the probability to register an event per 5th and 6th days. What is the average registered amount of events per 5th and 6th days.

I got this problem with no idea how to begin, please help.
 
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amiras said:
Registered events X in time interval t are distributed linearly n = n0 + bt. Find probability density function, then t = 10, n0 = 5 and b =2. Find average amount of registered events per day and Mean squared error. Find the probability to register an event per 5th and 6th days. What is the average registered amount of events per 5th and 6th days.

I got this problem with no idea how to begin, please help.

Hello amiras and welcome to the forums.

What do you mean by "linearly distributed"? I've never heard that term before.

Usually in linear regression statements, things will have a t-distribution or a normal distribution.

What other information have you been given? Have you been given distributions for the intercept and gradient terms?
 
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