library(rockchalk)
R.rc<-lm(Y ~ X*Z, data=Moderation)
summary(R.rc)
##
## Call:
## lm(formula = Y ~ X * Z, data = Moderation)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1.68679 -0.39206 0.01796 0.42799 2.19791
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.12376 0.55564 -0.223 0.823970
## X 0.46893 0.12958 3.619 0.000377 ***
## Z 0.09560 0.13146 0.727 0.467960
## X:Z 0.07861 0.03005 2.616 0.009592 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.6799 on 196 degrees of freedom
## Multiple R-squared: 0.7546, Adjusted R-squared: 0.7508
## F-statistic: 200.9 on 3 and 196 DF, p-value: < 2.2e-16
Plots
PS.rc<-plotSlopes(R.rc, plotx="X", modx="Z", modxVals="std.dev")
![](data:image/png;base64,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)
TS.rc<-testSlopes(PS.rc)
## Values of Z OUTSIDE this interval:
## lo hi
## -36.879489 -1.571709
## cause the slope of (b1 + b2*Z)X to be statistically significant
plot(TS.rc)
![](data:image/png;base64,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)