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multiple_regression_examples [2017/05/31 10:05] – [Regression Diagnostics] hkimscilmultiple_regression_examples [2018/11/09 12:00] hkimscil
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 x3  work ethic x3  work ethic
 </code> </code>
 +from the above output:
 +| x  | zero-order cor  | part cor  | squared zero-order cor  | squared part cor  | shared square cor |
 +| x1 | .764  | .588  | 0.583696  | 0.345744  | 0.237952  |
 +| x2 | .769  | .594  | 0.591361  | 0.352836  | 0.238525  |
 +note that the values of two raws at the last column are similar. The portion is the shared effects from both x1 and x2.  
 +
 $$ \hat{Y_{i}} = 101.222 + 1.000X1_{i} + 1.071X2_{i} $$ $$ \hat{Y_{i}} = 101.222 + 1.000X1_{i} + 1.071X2_{i} $$
 $$ \hat{Y_{i}} = 101.222 + 1.000 \ \text{intell. ability}_{i} + 1.071 \ \text{work ethic}_{i} $$ $$ \hat{Y_{i}} = 101.222 + 1.000 \ \text{intell. ability}_{i} + 1.071 \ \text{work ethic}_{i} $$
multiple_regression_examples.txt · Last modified: 2023/10/21 13:26 by hkimscil

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