{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture22

# lecture22 - Prediction(Condence intervals for new subjects...

This preview shows pages 1–5. Sign up to view the full content.

Prediction (Confidence) intervals for new subjects I A 100(1 - α )% prediction interval for an individual new value of y at x = x p is ˆ y ± t α/ 2 (Estimated standard error of prediction) or ˆ y ± t α/ 2 s s 1 + 1 n + ( x p - ¯ x ) 2 SS xx where t α/ 2 is based on (n-2) degrees of freedom.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Problem I Refer again to the drug reaction regression. Predict the reaction time for the next performance of the experiment for a subject with a drug concentration of 4%. Use a 95% prediction interval.
Something of less importance I Along with prediction interval for a new subject at x = x p , one can talk about estimating the mean of y in that subpopulation with characteristic (predictor) x p . I The confidence interval is going to be different from the prediction interval because σ ˆ y = σ s 1 n + ( x p - ¯ x ) 2 SS xx is different from σ ( y - ˆ y ) = σ s 1 + 1 n + ( x p - ¯ x ) 2 SS xx

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Multiple regression I In order to explain that response time, it may be better to consider some other factors instead of just the drug concentration. Say, age and gender.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 11

lecture22 - Prediction(Condence intervals for new subjects...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online