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sta108_handout18

# sta108_handout18 - Handout 18 Some models for the salary...

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Unformatted text preview: Handout 18 Some models for the salary data. Model: Y = β + β 1 X 1 + β 2 X 2 + ε [Model with parallel regression lines, Analysis of Covariance (ANCOVA) model.] Fit: ˆ Y = 23 . 029 + 1 . 182 X 1 + 4 . 303 X 2 , SSE = 69 . 996, R 2 = . 978, R 2 adj = . 977 For females: ˆ Y = 23 . 029 + 1 . 182 X 1 . For males: ˆ Y = 27 . 332 + 1 . 182 X 1 . Predictor Par-est SE T p-value Intercept 23 . 029 . 6770 35 . 02 . 000 X 1 1 . 18192 . 0456 25 . 90 . 000 X 2 4 . 303 . 7543 5 . 70 . 000 Model: Y = β + β 1 X 1 + β 2 X 2 + β 3 X 1 X 2 + ε [Model with different intercepts and different slopes.] Fit: ˆ Y = 25 . 287 + . 954 X 1 + . 325 X 2 + . 327 X 1 X 2 , SSE = 36 . 837, R 2 = . 989, R 2 adj = . 987 . For females: ˆ Y = 25 . 287 + . 954 X 1 . For males: ˆ Y = 25 . 612 + 1 . 281 X 1 . Predictor Par-est SE T p-value Intercept 25 . 287 . 6082 36 . 22 . 000 X 1 . 95422 . 06000 15 . 90 . 000 X 2 . 325 1 . 031 . 31 . 756 X 1 X 2 . 32732 . 07194 4 . 55 . 000 Model: Y = β + β 1 X 1 + β 3 X 1...
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sta108_handout18 - Handout 18 Some models for the salary...

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