Is the model $$ y = \gamma_0 + \gamma_1 + \sqrt x + \varepsilon $$ linear in parameters? ( $\varepsilon$ is the error term.)
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gung - Reinstate Monica
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Niklas
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2Is this a homework problem? I'm guessing it is. If so, here's a hint. The gamma's are the parameters. – StatsStudent Jan 26 '15 at 17:39
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3I think this may be written incorrectly. I believe it should be $\gamma_1\sqrt{x}$, correct? – StatsStudent Jan 26 '15 at 17:42
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2@StatsStudent: Homework or not, we need to be told what the free parameters are, especially as the model is unidentifiable as it stands. – Scortchi - Reinstate Monica Jan 26 '15 at 17:42
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Fair enough @Scortchi. – StatsStudent Jan 26 '15 at 17:43
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2@StatsStudent, that is a reasonable guess. The model as stated is clearly unidentifiable. However, I just added $\TeX$, I didn't add the "$+$". – gung - Reinstate Monica Jan 26 '15 at 17:43
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@gung, you are correct. I saw that when I reviewed the edit. I edited my response to you likely while you were posting. Thanks and sorry for the confusion. – StatsStudent Jan 26 '15 at 17:45
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1No problem, @StatsStudent, it was an important thing to mention. – gung - Reinstate Monica Jan 26 '15 at 17:45
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2In any case, the concept of "linear in the parameters" is explained [here](http://stats.stackexchange.com/questions/59782), [here](http://stats.stackexchange.com/questions/92065), [here](http://stats.stackexchange.com/questions/76954), [here](http://stats.stackexchange.com/questions/71437), [here](http://stats.stackexchange.com/questions/62506), & [here](http://stats.stackexchange.com/questions/100653). – Scortchi - Reinstate Monica Jan 26 '15 at 17:58