1) Please summarize from a conceptual perspective that ties t, f, and correlation/regression together.
According to the question:
Correlation tells about the linear relationship between two variables while regression tells about the functional form of relationship between two variables in which one variable is a dependent variable while other variables are independent variables.
Consider a multiple linear regression model with 3 independent variables. Then, t test is used to test significance of individual regression of an independent variable while F test is used to test the significance of overall regression, considering all independent variables together.
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