Below are four bivariate data sets and their scatter plots. Each data set is made of sample values drawn from a population.---**Data Sets and Scatter Plots:**1. **Figure 1 (x, y data set):** | x | y | |----|----| | 1.0| 2.0| | 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| - **Description:** The scatter plot displays a perfect positive linear relationship between x and y, with all points lying exactly on the line y = x.2. **Figure 2 (u, v data set):** | u | v | |----|----| | 1.0| 7.2| | 2.0| 6.9| | 3.0| 7.1| | 4.0| 5.9| | 5.0| 5.9| | 6.0| 5.2| | 7.0| 4.7| | 8.0| 4.6| | 9.0| 3.7| |10.0|3.7| - **Description:** The scatter plot shows a negative trend, suggesting a negative linear relationship between u and v variables.3. **Figure 3 (w, z data set):** | w | z | |----|----| | 1.0| 2.9| | 2.0| 4.2| | 3.0| 4.2| | 4.0| 5.7| | 5.0| 6.6| | 6.0| 7.2| | 7.0| 7.6| | 8.0 ### Educational Exercise on Data Set Relationships#### Answer the following questions. The same response may be the correct answer for more than one question.**(a) Which data set indicates the strongest negative linear relationship between its two variables?**- **Answer:** the x, y data set**(b) Which data set has an apparent positive, but not perfect, linear relationship between its two variables?**- **Answer:** (Choose one)**(c) Which data set indicates a perfect positive linear relationship between its two variables?**- **Answer:** the u, v data set**(d) In which data set is there evidence of a strong nonlinear relationship between the two variables?**- **Answer:** (Choose one)Below each question is a dropdown menu for selecting the appropriate data set. The options in the dropdown are likely to include different labeled data sets such as "x, y" or "u, v."- **Explanation Button:** Offers further information or clarification if needed.- **Check Button:** Allows you to verify if your selected answers are correct.*Note: The data sets refer to statistical data that may be graphed or charted, not shown here. This exercise helps in understanding relationships among variables in various data set contexts.*---This transcription is intended for educational purposes and aids in learning about data relationships, linearity, and correlation.

Solution: Scatter plot : Scatter plot is a graphical technique. From the scatter plot we can get…

Answered: (a) Which data set indicates the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A study was conducted to determine whether the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for all 10 students in the class are shown in the table below. Student Verbal Score x Final Grade y 1 68 84 2 47 97 3 80 75 26 68 5 73 93 46 90 7 49 76 8 77 79 9 51 74 10 66 82 Find the following: (a) The correlation coefficient: r = (b) The least squares line: ŷ = (c) Calculate the residual for the fourth student:
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An analyst wanted to analyze the relationship between the speed of a car (x) measured in mph and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below. Speed 25 35 45 50 60 65 70 Gas Mileage 40 39 37 33 30 27 25 What is the dependent variable? What is the independent variable?
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