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Say we conduct a standard linear regression test of Y (dep) versus X (independent)

Then there are tests to be made on whether there is a linear relationship between Y and X

(with ##H_o ## being that m=0; m is the regression line slope versus ##H_A :m \neq 0 ##)

Is there a similar test for multilinear regression, to determine linear dependence

of Y versus ## X_1, X_2,..,X_n ## ?

Thanks.

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# Multilinear Regression, test for Dependence?

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