Interpreting Linear Regression Components

I. The scatterplot provided displays a clear linear trend, supporting the linearity assumption of the regression model.

II. The residuals plot for this data would most likely show a random scatter around zero if the model is appropriate.

III. The equation $y=2*x+3$ implies that for every unit increase in $x$, $y$ increases by 2 units.

Which of these statements are true based on the scatterplot and the fitted regression line?