Prediction Intervals

pc678

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Sep 17, 2008
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Would someone help me interpret this PI in plain English for a regression class I'm taking.

we're comparing normal students to remedial students' test scores across 50 schools, the we're asked to interpret the info for an individual school

The questions asks: normal students in school A got a a 76% average on their test, so predict the scores for remedial students

Fitted value: 52

PI: [26, 77]

Is it correct to say that "if general students score 76%, we'd expect the class of remedial students at school to have an average score of 52%. We're 95% confident that the remedial students at school A will on average score between 26% and 77% on the next test"?
 
You need to find the standard error for this.

this is z distribution (standard normal distribution)

I'm not familiar with PI notation, I assume 26 and 77 are the low and high average scores? I don't know. Can you explain what that means?
 
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