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Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (10,10) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? Yes O No b. What is the value of the correlation coefficient for all 10 data points? (Simplify your answer. Round to three decimal places as needed.) r= example Get more help - Table of Critical Values D n 45678SOMHS6 10 12 13 14 16 a = .05 .950 .878 .811 .754 .707 .666 .632 .602 .576 .553 .532 .514 497 a = .01 .990 .959 917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 10- 0 - X 10 Q answer

Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (10,10) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? Yes O No b. What is the value of the correlation coefficient for all 10 data points? (Simplify your answer. Round to three decimal places as needed.) r= example Get more help - Table of Critical Values D n 45678SOMHS6 10 12 13 14 16 a = .05 .950 .878 .811 .754 .707 .666 .632 .602 .576 .553 .532 .514 497 a = .01 .990 .959 917 .875 .834 .798 .765 .735 .708 .684 .661 .641 .623 10- 0 - X 10 Q answer

MATLAB: An Introduction with Applications
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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**Examine Correlation in a Scatterplot** **Instructions:** 1. **Refer to the accompanying scatterplot.** - Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. 2. **Find the value of the correlation coefficient (r) and determine its linear correlation.** 3. **Remove the point with coordinates (10, 10) and find the correlation coefficient r.** - Determine whether there is a linear correlation without this point. - Consider the possible effect from a single pair of values. **Click here to view a table of critical values for the correlation coefficient.** **Questions:** a. Do the data points appear to have a strong linear correlation? - [Yes] (Selected) - [No] b. What is the value of the correlation coefficient for all 10 data points? - \( r = \) [_________] (Simplify your answer. Round to three decimal places as needed.) **Table of Critical Values:** A table is provided with critical values corresponding to sample sizes (n) and significance levels (\(\alpha\)) of 0.05 and 0.01. **Example Critical Values:** - \( n = 4 \): \( \alpha = .05 \) is .950 and \( \alpha = .01 \) is .990 - \( n = 10 \): \( \alpha = .05 \) is .632 and \( \alpha = .01 \) is .765 **Graph Description:** In the top right corner, a small scatterplot is visible, showing a general clustering of points, with a potential outlier at (10, 10). **Note:** The critical values help determine the significance of the correlation.
Transcribed Image Text:**Examine Correlation in a Scatterplot** **Instructions:** 1. **Refer to the accompanying scatterplot.** - Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. 2. **Find the value of the correlation coefficient (r) and determine its linear correlation.** 3. **Remove the point with coordinates (10, 10) and find the correlation coefficient r.** - Determine whether there is a linear correlation without this point. - Consider the possible effect from a single pair of values. **Click here to view a table of critical values for the correlation coefficient.** **Questions:** a. Do the data points appear to have a strong linear correlation? - [Yes] (Selected) - [No] b. What is the value of the correlation coefficient for all 10 data points? - \( r = \) [_________] (Simplify your answer. Round to three decimal places as needed.) **Table of Critical Values:** A table is provided with critical values corresponding to sample sizes (n) and significance levels (\(\alpha\)) of 0.05 and 0.01. **Example Critical Values:** - \( n = 4 \): \( \alpha = .05 \) is .950 and \( \alpha = .01 \) is .990 - \( n = 10 \): \( \alpha = .05 \) is .632 and \( \alpha = .01 \) is .765 **Graph Description:** In the top right corner, a small scatterplot is visible, showing a general clustering of points, with a potential outlier at (10, 10). **Note:** The critical values help determine the significance of the correlation.
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