Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. u v 1.0 3.8 y 11 1.0 1.0 10- 9- 10+ 2.0 2.0 2.0 6.1 9- 3.0 3.0 4.0 | 4.0 3.0 7.0 7+ 7+ 6+ 4.0 4.5 6+ 5- 5+ 5.0 5.0 6.0 6.0 7.0 7.0 5.0 5.0 4. ** 4 6.0 8.2 2+ 7.0 5.7 2- 1- 8.0 | 8.0 9.0 9.0 8.0 |6.5 4 10 11 3 10 11 9.0 8.7 |10.0 10.0 Figure 1 | 10.0 7.4 Figure 2 m 11 T 11 1.0 8.1 1.0 4.4 10+ 10+ x * x x |2.0 6.6 2.0 6.2 9- 3.0 7.9 3.0 8.2 4.0 9.4 7+ 4.0 5.6 6- 5- 5.0 7,5 5.0 9.7 4. 3 4- 6.0 4.5 6.0 9.5 3- |7.0 5.0 2+ 7.0 9,5 1. 8.0 3.7 8.0 8.3 3 10 11 9.0 4.4 9.0 6.0 |10.0 2.8 Figure 3 10.0 4.2| Figure 4 Answer the following questions. The same response may be the correct answer for more than one question. |(a) In which data set is there evidence of a strong nonlinear relationship between the two variables? ? (Choose one) the x, y data set (b) the u, v data set the w, t data set arent positive, but not perfect, linear relationship the m, n data set none of the data sets (c) Which data set indicates the strongest negative linear relationship between its two variables? (Choose one) |(d) Which data set indicates a perfect positive linear relationship between its two variables? (Choose one)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population.

---

**Data Sets and Their Scatter Plots:**

- **Data Set 1: (x, y)**
  ```
  x  |  y
  ----|----
  1.0 |  1.0
  2.0 |  2.0
  3.0 |  3.0
  4.0 |  4.0
  5.0 |  5.0
  6.0 |  6.0
  7.0 |  7.0
  8.0 |  8.0
  9.0 |  9.0
 10.0 | 10.0
  ```

  *Scatter Plot (Figure 1):* Displays a perfect positive linear relationship.

- **Data Set 2: (u, v)**
  ```
  u  |  v
  ----|----
  1.0 |  3.8
  2.0 |  6.1
  3.0 |  7.0
  4.0 |  4.5
  5.0 |  5.0
  6.0 |  8.2
  7.0 |  5.7
  8.0 |  6.5
  9.0 |  8.7
 10.0 |  7.4
  ```

  *Scatter Plot (Figure 2):* Displays a nonlinear relationship, forming a curve.

- **Data Set 3: (w, t)**
  ```
  w  |  t
  ----|----
  1.0 |  8.1
  2.0 |  6.2
  3.0 |  7.9
  4.0 |  5.6
  5.0 |  4.5
  6.0 |  6.1
  7.0 |  3.8
  8.0 |
Transcribed Image Text:Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. --- **Data Sets and Their Scatter Plots:** - **Data Set 1: (x, y)** ``` x | y ----|---- 1.0 | 1.0 2.0 | 2.0 3.0 | 3.0 4.0 | 4.0 5.0 | 5.0 6.0 | 6.0 7.0 | 7.0 8.0 | 8.0 9.0 | 9.0 10.0 | 10.0 ``` *Scatter Plot (Figure 1):* Displays a perfect positive linear relationship. - **Data Set 2: (u, v)** ``` u | v ----|---- 1.0 | 3.8 2.0 | 6.1 3.0 | 7.0 4.0 | 4.5 5.0 | 5.0 6.0 | 8.2 7.0 | 5.7 8.0 | 6.5 9.0 | 8.7 10.0 | 7.4 ``` *Scatter Plot (Figure 2):* Displays a nonlinear relationship, forming a curve. - **Data Set 3: (w, t)** ``` w | t ----|---- 1.0 | 8.1 2.0 | 6.2 3.0 | 7.9 4.0 | 5.6 5.0 | 4.5 6.0 | 6.1 7.0 | 3.8 8.0 |
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