Ich würde gerne den linearen Zusammenhang zwischen einer unabhängigen x-Variable und einer abhängigen y-Variable beschreiben. Die unabhängige Variable ist jedoch (da sie experimentell manipuliert wurde) nicht normalverteilt, sondern weist 3 Häufigkeitsgipfel auf, sodass die Datenpunkte im Streudiagramm etwa den Smileys in der unten improvisierten Skizze entsprechen
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll


lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll


llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll


llllllllllllllllllllllllllllllllllllllllllllllll


llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
llllllllll




Darf man in dieser Situation eine Regressionsanalyse durchführen? Oder welchen statistischen Test kann sonst angewendet werden?
Danke und lg