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Multiple Regression Done with Matrix Algebra

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Misanthropy, Idealism, and Attitudes Towards Animals Wuensch, K. L., Jenkins, K. W., & Poteat, G. M. (2002). Misanthropy, idealism, and attitudes towards animals. Anthrozoös, 15, Misanthropy, idealism, and attitudes towards animals Attitude predicted from –Idealism –Relativism –Misanthropy –Gender/Sex (1 = female, 2 = male)

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R iy, the column vector of correlations between X i and Y ar ideal relat misanth gender

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R ii, the matrix of correlations among X’s idealrelatmisanthgender ideal relat misanth gender

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proc iml; reset print; ii ={ , , , }; iy = {0.0501, , , }; betas = inv(ii)*iy; quit;

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betas 4 rows 1 col idealism relativism misanthropy male

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0.0501(.0837) (.1636) (.2526) + ( )(-.1573) =.1053.

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Test R 2 s y = , n = 153, so SS Y = 152( ) 2 = F(4, 148) = 4.353, p =.002

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Test R 2 the Easy Way aspx?id=15http://www.danielsoper.com/statcalc3/calc. aspx?id=15

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