AP PSYCHOLOGY

Detailed explanation-1: -In statistics, the fraction of variance unexplained (FVU) in the context of a regression task is the fraction of variance of the regressand (dependent variable) Y which cannot be explained, i.e., which is not correctly predicted, by the explanatory variables X.

Detailed explanation-2: -In simple regression, the proportion of variance explained is equal to r2; in multiple regression, it is equal to R2. where N is the total number of observations and p is the number of predictor variables.

Detailed explanation-3: -The simplest way to measure the proportion of variance explained in an analysis of variance is to divide the sum of squares between groups by the sum of squares total. This ratio represents the proportion of variance explained. It is called eta squared or ².

Detailed explanation-4: -R-Square – R-Square is the proportion of variance in the dependent variable (science) which can be predicted from the independent variables (math, female, socst and read). This value indicates that 48.9% of the variance in science scores can be predicted from the variables math, female, socst and read.