The correct answer is that a confidence interval for the slope provides a range of plausible values for the true population slope. In simple linear regression, the calculated slope is an estimate based on sample data. The confidence interval helps to quantify the uncertainty of this estimate by providing a range in which the true slope of the relationship for the entire population is likely to fall. If this interval does not contain zero, it provides evidence that a statistically significant relationship exists between the variables.
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What is the slope coefficient in a simple linear regression model?
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Why is a confidence interval important for the slope coefficient?
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How does a confidence interval relate to statistical significance in regression?