Degrees of Freedom for Slope T-Test
In a linear regression analysis of the relationship between fertilizer amount and corn yield, a t-test is conducted for the slope of the regression line. If the degrees of freedom are incorrectly calculated as instead of the correct , what is the most likely effect on the resulting p-value?
The slope estimate would become biased upward and the p-value would be inflated, reducing the chance of rejecting .
The miscalculation would affect only the width of the confidence interval, leaving the p-value and t-test results unchanged.
There would be no effect on the p-value or conclusions since the difference between and is negligible.
Using degrees of freedom instead of would overestimate the degrees of freedom, likely resulting in a smaller p-value and an increased risk of a Type I error.
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