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A linear model has the following characteristics:
* A dependent variable (y)
* One continuous variable (x1)
* One categorical (1 with 3 levels) predictor variable and an interaction term (1 by x1)
How many parameters, including the intercept, will be estimated for this model?
Enter your numeric answer in the space below.
Suggested Answer: A
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24 comments · newest first
TI
Tijuana
2 days ago
Yeah, it adds complexity.
DA
Dannie
7 days ago
I was confused about the interaction term.
HE
Helene
12 days ago
Sounds right!
CE
Cecil
18 days ago
We have 1 intercept, 1 for x1, 3 for the categorical levels, and 2 for the interaction.
TI
Tijuana
23 days ago
Why 7?
CE
Cecil
28 days ago
I think it's 7.
RO
Rolf
1 month ago
Glad we cleared that up.
TI
Tiera
1 month ago
Exactly, the interaction term is key!
EU
Eulah
1 month ago
I thought it might be 6, but the interaction changes it.
BR
Brandon
2 months ago
I was confused at first, but it makes sense now.
RE
Reid
2 months ago
I counted too, it adds up to 7.
IL
Iluminada
2 months ago
Sounds right!
TI
Tiera
2 months ago
We have 1 intercept, 1 for x1, 3 for the categorical levels, and 2 for the interaction.
RO
Rolf
2 months ago
Why 7?
TI
Tiera
2 months ago
I think it's 7.
CA
Cammy
3 months ago
1 intercept + 1 continuous + 3 categorical + 2 interaction = 7.
DE
Derick
3 months ago
I thought it would be more than 7 with the interaction term.
DE
Dexter
3 months ago
Wait, are we sure about that? Seems off.
NI
Nieves
3 months ago
Totally agree, it adds up to 7!
JA
Jacqueline
3 months ago
There are 7 parameters total.
AL
Alica
4 months ago
I practiced a similar question where we had to count parameters, and I think it was about 6 or 7 total, including the interaction.
DA
Daniel
4 months ago
If I recall correctly, the categorical variable has 3 levels, so we might need to subtract one for the reference level, right?
NI
Nicolette
4 months ago
I'm not entirely sure, but I remember something about interaction terms adding complexity. Does that mean we add more parameters?
SH
Shalon
4 months ago
I think we have to count the intercept plus the number of levels in the categorical variable and the continuous variable.