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Under the least squares assumptions (zero conditional mean for the error term, Xi and Yi being i.i.d., and Xi and ui having finite fourth moments), the OLS estimator
For the slope and intercept a. has an exact normal distribution for .
b. is BLUE.
c. has a normal distribution even in small samples.
d. is unbiased.
Parameters
In statistics, parameters are numerical characteristics of a population, such as its mean or standard deviation.
Independent
In a statistical context, refers to variables or events that are not influenced by other variables in a study; their occurrence does not depend on another.
ANOVA Table
A tabular representation used in the analysis of variance to summarize the sources of variation among group means.
F Statistic
A value calculated in ANOVA tests that compares the variability between group means over the variability within groups, used to determine statistical significance.
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