1. Problem statement: Describe the relation between two variables (A,B) for each model based on the graphs provided. 2. Model 1 shows a scatter plot with points randomly scattered without any visible pattern. This indicates no correlation between variables A and B. In statistical terms, the correlation coefficient is approximately zero, and no functional relationship exists. 3. Model 2 depicts a dotted line descending from left to right, indicating a negative linear relationship between A and B. This means that as A increases, B decreases. Mathematically, this can be expressed as $$B = mA + c$$ with slope $$m < 0$$. 4. Model 3 depicts a dotted line ascending from left to right, indicating a positive linear relationship between A and B. This means as A increases, B also increases. Mathematically, $$B = mA + c$$ with slope $$m > 0$$. 5. Model 4 shows a dotted curved line forming an inverted U-shape (a parabola opening downward). This indicates a quadratic relationship where B increases with A up to a maximum point and then decreases. Mathematically, this could be expressed as $$B = -aA^2 + bA + c$$ with $$a > 0$$. Final summary: - Model 1: No correlation between A and B. - Model 2: Negative linear relation: $$B = mA + c,\quad m < 0$$. - Model 3: Positive linear relation: $$B = mA + c,\quad m > 0$$. - Model 4: Inverted parabola relation: $$B = -aA^2 + bA + c,\quad a > 0$$.