next up previous contents
Next: Confidence Interval for : Up: Inferences for Simple Linear Previous: Point Estimates of Parameters

Inferences for Regression Parameters

In many situations, a general form for a tex2html_wrap_inline4041 % confidence interval for a parameter tex2html_wrap_inline3943 is [ ^ tex2html_wrap5171 (critical value)SE(^ tex2html_wrap5171 ), ] where tex2html_wrap_inline5155 is a sample statistic used to estimate tex2html_wrap_inline3943 , SE tex2html_wrap_inline5159 [the standard error of tex2html_wrap_inline3943 ] gives the variation of tex2html_wrap_inline5155 and the critical value is a value such as tex2html_wrap_inline5165 or tex2html_wrap_inline5167 . Thus, all we have to do is (1) find the formula for SE tex2html_wrap_inline5159 and (2) ``plug-in'' numbers into this general equation to get a confidence interval. The following confidence (prediction) intervals all follow this rule.



Jan Lethen
Wed Nov 13 16:20:46 CST 1996