1. Move the slider so that the correlation coefficient is r = -0.9. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values?2. Now move the slider so that the correlation coefficient is r = 0.15. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values? ### Scatter Plot with Correlation CoefficientThis image presents a scatter plot showcasing a set of data points with a weak correlation. The x-axis and y-axis both range from 0 to 100, though specific axis labels are not provided, indicating generic data measurements. **Description:**- **Data Points:** The blue dots represent individual data observations. They appear scattered without a tight cluster, suggesting variability within the data. - **Trend Line:** An orange line runs diagonally through the data, illustrating a positive linear trend. The line slopes upward slightly, indicating a slight increase in the y-variable as the x-variable increases. - **Correlation Coefficient:** At the top of the image, the correlation coefficient is specified as \( r = 0.15 \). This value signifies a weak positive correlation between the variables. Typically, \( r \) values range from -1 to 1, with values closer to 0 indicating a weaker correlation. The overall impression from this graph suggests limited predictability between the two measured variables, with substantial dispersion observed among the data points. **Interactive Scatter Plot Exploration**Use the slider at the bottom of the graph to change the degree of scatter and observe the corresponding change in the correlation coefficient (r). Also, observe how far or how close points are to the line of best fit as the correlation coefficient increases or decreases.**Current Correlation: r = -0.09****Graph Description:**- The graph displays a scatter plot with data points scattered across different y-values, with x-values ranging from 0 to 100.- A red line of best fit is drawn through the data points, representing a slight negative correlation.- The correlation coefficient (r) is currently set at -0.09, suggesting a very weak negative relationship between the variables.**Slider:**- A slider is located below the graph, allowing adjustment to change the scatter degree and observe variations in the correlation coefficient. **Instruction:**1. Move the slider so that the correlation coefficient is r = -0.9. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values? - a. 30 - b. 50 - c. 10 - d. 80**Credits:**- Created by Gary H. McClelland, Professor Emeritus | University of Colorado Boulder - © Cengage Learning. All Rights Reserved.

Correlation coefficient is a measure that indicates the direction and strength of association…

Move the slider so that the correlation coefficient is r = -0.9. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values? 2. Now move the slider so that the correlation coefficient is r = 0.15. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values?

Move the slider so that the correlation coefficient is r = -0.9. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values? 2. Now move the slider so that the correlation coefficient is r = 0.15. At an x-axis value of 40, which of the following is the approximate range (lowest to highest) of the y-values?

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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