R² measures

question 18

Multiple Choice

r² measures .

• A) the proportion of error variation
• B) the proportion of variation in Y related to the variation of the categories of X
• C) the proportion of variation in one variable that is explained by the other
• D) the proportion of variation in Y due to the variation within each of the categories of X

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Definitions:

Student T-Distributed

Refers to a family of distributions that arise when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

Normally Distributed

Describes a dataset that forms a bell-shaped curve when graphed, with most values clustering around a central region and thin tails on either end.

Population Variances

A measure of the dispersion or spread of a set of data points within a population, indicating how much the numbers differ from the population mean.

Sample Mean Difference

Sample mean difference is the arithmetic difference between the means of two samples, used to compare their central tendencies.