I have this output from a R ANOVA analysis and the graph attached. I want to verify if the interpretation for the scenario is correct?
Estimate Std. Error z value Pr(>|z|) (Intercept) 1.7918 0.6236 2.873 0.00206 ** typeHigh -1.5911 0.7687 -2.070 0.01847 * statusBlack -1.2528 0.7843 -1.597 0.11018 typeHigh:statusBlack 2.4384 1.0628 2.294 0.01177 *
Line 4 of result -- The difference between the status: Black and Gray is different for the type: Low vs High. Here, At low: black decreases w.r.t to gray and at high it increases w.r.t to gray
Line 1 of result -- How do I interpret the first line alone?
Finally, is it correct to say that as we go from low to high: Gray decreases significantly i.e. Gray in "Low" is different from Gray in "High". Also, does black increase significantly i.e. Black in "Low" is different from Black in "High".