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[tex] y_{ij} = \mu_{i} + \alpha x_{ij} + e_{ij} [/tex]

where [tex] i = 1, 2,3 [/tex] and [tex] j = 1, \ldots , r [/tex].

[tex] \mu_{i} [/tex] represents the mean of the data set plus factor levels i , [tex] \alpha x_{ij} [/tex] is a continuous variable.

So, the problem is the following:

Construct confidence intervals for [tex] \mu_1 [/tex] , [tex] \mu_2 - \mu_1 [/tex] , and [tex] (\mu_3 - \mu_2) - (\mu_2 - \mu_1) [/tex].

The original problem consisted of finding conf.intervals for the same things except the continuous variable wasn't in the model.

I have looked around alot, but I can't find any instructions on confidence intervals when both factors and continuous variables are included.

Help appreciated!

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# Confidence intervals for factors+continuous variables

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