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Standard Error
The measure of reliability of the estimating equation that we have developed is given by standard error of estimate. The standard error of estimate represented by se is similar to the standard deviation as both are measures of dispersion. The standard error measures the variability, or scatter, of the observed values around the regression line.
The standard error of the estimate for a regression equation is given by
where,
In the above equation you can observe the sum of the squared deviations is divided by n-2 and not by n. This is because we have lost 2 degrees of freedom in estimating the regression line. We used the sample to compute a and b.
Equation for calculating standard error of estimate is also given by formula
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In PCA the eigknvalues must ultimately account for all of the variance. There is no probability,'no hypothesis, no test because strictly speaking PCA is not a statistical procedure
Empirical Mode Where mode is ill-defined, its value may be ascertained by the following formula based upon the empirical relationship between Mean, Median and Mode: Mode = 3
why we use dummy variable
The tension, T, in the tow rope pulling the car in Newtons is given in P8. Determine the minimum length of the rope l, between A and B, so that the tension in either AB or AC equa
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Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by
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