Title: Stat 200b. Chapter 8. Linear regression models.
1Stat 200b. Chapter 8. Linear regression models.
2n by 1, n by 2, 2 by 1, n by 1
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413 by 5
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8Effect of increasing seat height is 2?1
9Some matrix review transpose
multiplication inverse derivatives
10Normal linear model. Estimation
11Profile log likelihood
12Straight-line/simple regression.
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14Fitted values.
NB. Assuming matrix inverse exists
15Weighted least squares.
inverse existing
16Example 8.8. Cycling data
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19Example 8.10. Maize data.
20Likelihood quantities.
21Take expected values
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23Normal distribution theory. Full rank case
24A useful decomposition.
25Confidence interval.
26Gauss-Markov Theorem. page 374
27There is a generalized inverse variant Example.
28Eg. Teaching methods data, p. 427 Method
average Usual 17
14 24 20 24 24 19.67 Praised 28 30 29 24 27
23 27.41