This is a long answer, give reasoning/calculations. Show that with the number of observations n in a
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This is a long answer, give reasoning/calculations.
Show that with the number of observations n in a multiple regression being held constant, an increase in the number of dimensions/predictors p results a lower F-statistic for the null hypothesis that all regression coefficients are 0. What does this imply about regression results for high-dimensional data with small sample sizes?
Give a detailed answer with complete explaination of the argument and show proof. Mention each step.
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