When looking at your residual analysis and seeing all of the desirable graphs demonstrate a strong correlation between your independent and dependent variables, is this enough evidence to say that...

When looking at your residual analysis and seeing all of the desirable graphs demonstrate a strong correlation between your independent and dependent variables, is this enough evidence to say that your independent variable makes a good predictor for your dependent variable? If yes, state why. If no, explain what other factors you need to consider.