Buggey whip used on animals. So when people say “buggey whip” they mean obsolete
technology. Whenever you’re working with data, just use pictures.
Measuring fit, use R-squared statistic, which ranges between zero and one -> indicates the
proportion of the variation in Y (dependent variable) that is accounted for by the model.
Total variation, use TOTAL SUM OF SQUARES. Residual variation in Y, use RESIDUAL
SUM OF SQUARES. Big residuals are bad because residuals are leftovers, the unexplained.
Now that we have TSS and RSS, we can calculate R
2
. We can also use MODEL SUM OF
SQUARES (MSS) in place of RSS when calculating R
2
.
MSS + RSS = TSS
Explained + Unexplained = All
This gives a number between 0 and 1, where 1 is really good. So, for example, .55 means
that 55% of variance of Y is explained by X.
B is a slope, summarizes what we know. We also have some idea of how close B is to Bhat.
The standard deviation of the parameter is called the STANDARD ERROR, which comes
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- Summer '08
- Ryan,John
- Statistics, Normal Distribution, Regression Analysis, Standard Deviation, Standard Error, 55%
-
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