## Related questions with answers

Consider a regression analysis with n = 34 and four potential independent variables. Suppose that one of the independent variables has a correlation of 0.23 with the dependent variable. Does this imply that this independent variable will have a very small Student’s t statistic in the regression analysis with all four predictor variables?

Solution

VerifiedIn this exercise, given a sample size of 34, we are tasked to determine if the independent variable with a correlation of 0.23 with the dependent variable will have a small Student's *t* statistic in the analysis with all four independent variables.

What correlation value should we consider large enough to be statistically significant?

Should we consider the correlation coefficient with the other three predictor variables?

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