12 ### Image TranscriptionThe image contains four data sets represented in tables and scatter plots, labeled as Figures 1, 2, 3, and 4. Each figure includes a pair of variables with corresponding values and a scatter plot visualizing their relationship.#### Figure 1- **Table:** - \( x: \) 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 - \( y: \) 3.8, 6.3, 7.5, 4.6, 6.8, 8.1, 5.2, 6.1, 9.2, 7.3- **Scatter Plot:** A set of points scattered, indicating some positive relationship but not a perfect fit.#### Figure 2- **Table:** - \( u: \) 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 - \( v: \) 8.2, 6.9, 7.8, 6.3, 4.4, 4.1, 5.1, 3.9, 4.4, 3.5- **Scatter Plot:** Points appear to form a downward curve, indicating a nonlinear relationship.#### Figure 3- **Table:** - \( w: \) 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 - \( t: \) 10.0, 9.1, 8.0, 7.0, 6.1, 5.0, 4.0, 3.0, 2.0, 1.0- **Scatter Plot:** Points form a straight line with a negative slope, indicating a perfect negative linear relationship.#### Figure 4- **Table:** - \( m

If relationship between X and Y is called correlation.

33 x 1.0 3.8 10- 2.0 6.3 3.0 7.5 7- 4.0 4.6 6- 5- 5.0 5.0 6.0 8.1 3- 7.0 5.2 2 1. 8.0 7.1 9.0 9.2 10.0 7.3 Figure 1 V X 0 1 W t 11- 1.0 10.0 10- X 9- 2.0 9.0 8- 3.0 8.0 7 4.0 7.0 6- 5- 5.0 6.0 6.0 5.0 4 3- 7.0 4.0 2- 1. 8.0 3.0 9.0 2.0 10.0 1.0 Figure 3 x +++ 0 1 2 2 3 4 5 6 7 8 9 10 11 3 4 X X x 7 8 9 10 11 U V == ▼ 1.0 8.2 11- 10- 9 8 7- 6 5 4 3- 2 1 2.0 6.9 3.0 7.8 4.0 6.3 5.0 7.2 6.0 4.4 7.0 5.1 8.0 3.9 9.0 4.1 10.0 3.5 Figure 2 0 1 2 3 4 m n 1.0 8.0 2.0 5.1 3.0 4.1 4.0 2.2 5.0 1.5 6.0 2.1 7.0 2.1 8.0 3.5 9.0 5.2 10.0 7.2 Figure 4 11 10- 9 8- * 7. 6 5 4 3. 2 1 X 0 1 2 3 (a) In which data set is there evidence of a strong nonlinear relationship between the two variables? (Choose one) (b) Which data set has an apparent positive, but not perfect, linear relationship between its two variables? (Choose one) (c) Which data set indicates a perfect positive linear relationship between its two variables? (Choose one) (d) Which data set indicates the strongest negative linear relationship between its two variables? (Choose one) 5 6 7 xx Answer the following questions. The same response may be the correct answer for more than one question. 8 9 10 11 x H 4 56 7 8 9 10 11 ?