The effect of decreasing the student-teacher ratio by one is estimated to result in an improvement of the districtwide score by 2.28 with a standard error of 0.52. Construct a 90% and 99% confidence interval for the size of the slope coefficient and the corresponding predicted effect of changing the student-teacher ratio by one. What is the intuition on why the 99% confidence interval is wider than the 90% confidence interval?
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