(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

x represents values of a Normal random variable X, with parameters [tex]\mu[/tex] and [tex]\sigma^2[/tex]

z represents corresponding values of normal random variable Z, with parameters 0 and 1.

z x

-3 22

-2 34.5

1 72

3 97

The following questions relate to the tabled data:

a) calculate the correlation co-efficient between z and x.

b) calculate the regression equation used to predict x if z is unknown

c) determine the values of [tex]\mu[/tex] and [tex]\sigma^2[/tex]

2. The attempt at a solution

Well the random variable Z has a mean 0 and variance 1, meaning that it is a standard normal distribution.

a) can I just use a linear regression on the data? this gives a correlation co-efficient of 1

b) using the same regression, x=12.5z+59.5 ??

c) Now im stuck.

Cheers

Steven

(sorry I have exams coming up ... hence the rush of posts)

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# Homework Help: Normal Distribution

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