EC255 Lecture Notes - Lecture 21: Observational Error, Analysis Of Variance, Tachykinin Receptor 1

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Ec255 lecture #21: correlation and simple regression. Point estimate of y for x0: (cid:1877) =(cid:1854)(cid:2868)+(cid:1854)(cid:2869)(cid:1876) point estimate. Confidence/prediction intervals: confidence interval of average y for x0, prediction interval of individual y for x0. Confidence interval for individual y given x0: confidence interval estimate for an individual value of y given a particular x0. Estimation of individual values example find the 95% confidence interval for an individual price of 2000 square-foot houses: predicted price y-hat = 317. 85 (s, prediction interval endpoints are 215. 50 420. 07, or from 500 - 070. Multiple regression things to consider when predicting energy consumption: past history, weather, day of week, holidays. Multiple regression assumptions: errors (residuals) from the regression model: (cid:1857)=(cid:1877) (cid:1877) the model errors are independent and random the errors are normally distributed the mean of the errors is zero, errors have a constant variance.

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