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A cell on a different sheet of the same spreadsheet is usually addressed as: =SHEET2!A1 (that is; the first cell in sheet 2 of the same spreadsheet). Some spreadsheet implementations in Excel allow cell references to another spreadsheet (not the currently open and active file) on the same computer or a local network.
The general regression model with n observations and k explanators, the first of which is a constant unit vector whose coefficient is the regression intercept, is = + where y is an n × 1 vector of dependent variable observations, each column of the n × k matrix X is a vector of observations on one of the k explanators, is a k × 1 vector of true coefficients, and e is an n× 1 vector of the ...
Inspired by ANOVA, MANOVA is based on a generalization of sum of squares explained by the model and the inverse of the sum of squares unexplained by the model . The most common [ 6 ] [ 7 ] statistics are summaries based on the roots (or eigenvalues ) λ p {\textstyle \lambda _{p}} of the matrix A := S model S res − 1 {\textstyle A:=S_{\text ...
Weighted least squares (WLS), also known as weighted linear regression, [1] [2] is a generalization of ordinary least squares and linear regression in which knowledge of the unequal variance of observations (heteroscedasticity) is incorporated into the regression.
Equation: = + Meaning: A unit increase in X is associated with an average of b units increase in Y. Equation: = + (From exponentiating both sides of the equation: =) Meaning: A unit increase in X is associated with an average increase of b units in (), or equivalently, Y increases on an average by a multiplicative factor of .
where TSS is the sum of squared deviations of the from their mean of 1, and RSS is the sum of squared residuals from the auxiliary regression. The test statistic is asymptotically distributed as χ p − 1 2 {\displaystyle \chi _{p-1}^{2}} under the null hypothesis of homoskedasticity and normally distributed ε i {\displaystyle \varepsilon _{i ...
A specific case of biserial correlation occurs where X is the sum of a number of dichotomous variables of which Y is one. An example of this is where X is a person's total score on a test composed of n dichotomously scored items. A statistic of interest (which is a discrimination index) is the correlation between responses to a given item and ...
Polynomial regression models are usually fit using the method of least squares.The least-squares method minimizes the variance of the unbiased estimators of the coefficients, under the conditions of the Gauss–Markov theorem.