What is the linear regression equations for the following linear model for each

Question

What is the linear regression equations for the following linear model for each region including the interaction effects?

Call:

lm(formula = moral ~ mobility + hetero + region + mobility *

region + hetero * region, data = Angell)

Residuals:

Min 1Q Median 3Q Max

-3.5959 -1.4144 0.1573 1.3653 3.4380

Coefficients:

Estimate Std. Error t value Pr(>|t|)   

(Intercept) 22.49818 7.38937 3.045 0.00472 **

mobility -0.21819 0.36812 -0.593 0.55767   

hetero -0.15591 0.09081 -1.717 0.09596 .

regionMW -4.47440 8.63337 -0.518 0.60795   

regionS -8.73968 8.56794 -1.020 0.31560   

regionW -11.14677 10.81191 -1.031 0.31053   

mobility:regionMW 0.11312 0.38498 0.294 0.77084   

mobility:regionS 0.11665 0.37895 0.308 0.76028   

mobility:regionW 0.28398 0.39916 0.711 0.48213   

hetero:regionMW 0.01719 0.12656 0.136 0.89286   

hetero:regionS 0.10396 0.09745 1.067 0.29431   

hetero:regionW -0.04319 0.25978 -0.166 0.86903   

---

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 2.19 on 31 degrees of freedom

Multiple R-squared: 0.7225, Adjusted R-squared: 0.6241

F-statistic: 7.338 on 11 and 31 DF, p-value: 5.413e-06

Explanation / Answer

The linear regression equation is formed using the coefficient values of the output table

moral = 22.49 -0.218*mobility -0.155*hetero -4.47*region-8.73*regionS -11.14*regionW+0.113*mobilityregionMw +0.116*mobilityregionS +0.283*mobilityregionW +0.017*heteroregionMw +0.103*heteroregionS-0.043*heteroregionW

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