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How do you Compute Var(Y) and Cor (Y,X) with the given data?
Constant Variable Coefficient = 0.203311 s.e. = 0.0976 t-test = 2.08 p-value = 0.0526
X Variable Coefficent = 0.656040 s.e. = 0.1961 t-test = 3.25 p - value = <0.0038
n = 19 R2 = 0.397 adjusted R2 = 0.362 sigma-hat = 0.0566 df = 17
SSR = 0.358 SSE = 0.0544
based on some other stuff i have looked at i think Var(Y) can = SST
which would be simple SSR + SSE 0.0902, am I correct here?
do i take the sqrt of the SST so the Var(Y) would be 0.3003
Lobo if I had y-bar and y i would do it this way, this is why I am having problems with this. The only info I have is what I put above.
I have no clue what you guys are talking about. Let me see if I can write it out to help me more. The Constant Variable is B0 and the X is B1. I don't see how you are getting a y mean.
2 Answers
- efqyLv 71 decade agoFavorite Answer
Yes, SST = SSR + SSE, but be careful to make sure you add correctly, however, SST is a sum of squares, not a variance. You need to do something to it.
As for the correlation ... here's a couple of hints:
- what's the symbol for sample correlation?
- be careful with the sign
===
SST is.not.variance.
Look at the formula for variance (at least google it) See how it is different from SST.
You DO NOT NEED the mean of y.
You need a correlation. You already have a number that is closely related to correlation. Look more closely at R^2. What is it? What does it measure?
- Theta40Lv 71 decade ago
SST(corrected)=sum(yi-mean of y)^2
"if I had y-bar and y i would do it this way, "
I know
I was wanting to say that what you have there in table, SST(corrected) is sum(yi-mean of y)^2, which looks like the variance, except you have do do something
you are close to the answer
"The Constant Variable is B0 and the X is B1."
No, the B1 is the coefficient of X(the slope) B0 is the intercept of the linr
So you have the regression equation
Y=B0+B1*X
"I don't see how you are getting a y mean."
I didn't say you are getting a y mean. I didn't say you have to calculate y mean I just explained to you what means that SST. In other words, how was calculated by the program.
efqy said "SST is a sum of squares, not a variance."
Looked in any place(book, internet) where the variance is defined and see it it is only a sum of squares and what is the difference