- #1
steven10137
- 118
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Homework Statement
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 I am stuck.
Cheers
Steven
(sorry I have exams coming up ... hence the rush of posts)
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