On an international exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the exam, the correlation between the percentage of items answered in the background questionnaire (used as a proxy for student task persistence) and mean score on the exam was 0.822. Does this suggest there is a linear relation between student task persistence and achievement score? Write a sentence that explains what this result might mean.Click the icon to view the critical values table.**Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below.**- A. No, since |0.822| is less than the critical value for 30.- B. Yes, since |0.822| is less than the critical value for 30.- C. No, since |0.822| is greater than the critical value for 30.- D. Yes, since |0.822| is greater than the critical value for 30.**What does this result mean?**- A. Countries in which students answered a lesser percentage of items in the background questionnaire tended to have higher mean scores on the exam.- B. Countries in which students answered a greater percentage of items in the background questionnaire tended to have higher mean scores on the exam.- C. There is no linear relation between countries in which students answered a greater percentage of items in the background questionnaire and higher mean scores on the exam.- D. Countries in which students cheated on the exam also cheated on the items in the background questionnaire.Click to select your answer. ### Critical Values for Correlation CoefficientThis table provides critical values for the correlation coefficient, denoted as \( n \). The correlation coefficient measures the strength and direction of a linear relationship between two variables.| n | Critical Value ||----|----------------|| 3 | 0.997 || 4 | 0.950 || 5 | 0.878 || 6 | 0.811 || 7 | 0.754 || 8 | 0.707 || 9 | 0.666 || 10 | 0.632 || 11 | 0.602 || 12 | 0.576 || 13 | 0.553 || 14 | 0.532 || 15 | 0.514 || 16 | 0.497 || 17 | 0.482 || 18 | 0.468 || 19 | 0.456 || 20 | 0.444 || 21 | 0.433 || 22 | 0.423 || 23 | 0.413 || 24 | 0.404 || 25 | 0.396 || 26 | 0.388 || 27 | 0.381 || 28 | 0.374 || 29 | 0.367 || 30 | 0.361 |#### Explanation:The table lists sample sizes (\( n \)) from 3 to 30 alongside their corresponding critical values for the correlation coefficient. These critical values are thresholds which the sample correlation coefficient must exceed in order to be considered statistically significant at a certain confidence level. The values decrease as the sample size increases, reflecting the fact that larger samples can detect smaller effects with statistical significance.

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Description: On an international exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the exam, the correlation between the percentage of items answered in the background questionnaire (used as a proxy

Given that the correlation is r=0.822. Correlation: It measures the linear relationship between two…

Math

Statistics

On an international exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the exam, the correlation betwe the percentage of items answered in the background questionnaire (used as a proxy for student task persistence) and mean score on the exam was 0.822. Does this suggest there is a linear relation between student task persistence and achievement score? Write a sentence that explains what this result might mean. E Click the icon to view the critical values table. Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below. O A. No, since |0.822| is less than the critical value for 30. O B. Yes, since |0.822| is less than the critical value for 30. O C. No, since |0.822| is greater than the critical value for 30. O D. Yes, since |0.822| is greater than the critical value for 30. What does this result mean? O A. Countries in which students answered a lesser percentage of items in the background questionnaire tended to have higher mean scores on the exam.

On an international exam, students are asked to respond to a variety of background questions. For the 41 nations that participated in the exam, the correlation betwe the percentage of items answered in the background questionnaire (used as a proxy for student task persistence) and mean score on the exam was 0.822. Does this suggest there is a linear relation between student task persistence and achievement score? Write a sentence that explains what this result might mean. E Click the icon to view the critical values table. Does this suggest there is a linear relation between student task persistence and achievement score? Choose the best response below. O A. No, since |0.822| is less than the critical value for 30. O B. Yes, since |0.822| is less than the critical value for 30. O C. No, since |0.822| is greater than the critical value for 30. O D. Yes, since |0.822| is greater than the critical value for 30. What does this result mean? O A. Countries in which students answered a lesser percentage of items in the background questionnaire tended to have higher mean scores on the exam.

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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