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29. Based on what you found in #26, what is the proportion of variability in X that can be explained by Y?

29. Based on what you found in #26, what is the proportion of variability in X that can be explained by Y?

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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JUST QUESTION 29 PLEASE 

Use the set of data depicted in the figure below to answer questions #18 - #29. You are conducting a correlational study. 8 7 4 3 2 1 1 2 4 7 8 9. You might use this table to help you answer the questions below. Participant Y XY X2 Y2 А В F 18. What is the value of Sum of Products (SP)? (SHOW YOUR WORK) 19. What is the value of SSx? (SHOW YOUR WORK) 20. What is the value of SSy? (SHOW YOUR WORK) 21. Calculate the Pearson Correlation Coefficient (r): (SHOW YOUR WORK) 22. How many degrees of freedom (df) are in this study? 23. If you are doing a two-tailed test and alpha = .05, find the critical value of r from the table: 24. What is your decision regarding the null hypothesis? Reject or Fail to Reject 25. How did you make the determination in Question #24? 26. If the Pearson Correlation Coefficient that you calculated in #21 remains the same, had 1 more participant (n = 7), what would your decision be? Reject or Fail to Reject but you 27. How did you make the determination in Question #26? 28. In words, describe the relationship between X and Y that you found in #26. 29. Based on what you found in #26, what is the proportion of variability in X that can be explained by Y?
Transcribed Image Text:Use the set of data depicted in the figure below to answer questions #18 - #29. You are conducting a correlational study. 8 7 4 3 2 1 1 2 4 7 8 9. You might use this table to help you answer the questions below. Participant Y XY X2 Y2 А В F 18. What is the value of Sum of Products (SP)? (SHOW YOUR WORK) 19. What is the value of SSx? (SHOW YOUR WORK) 20. What is the value of SSy? (SHOW YOUR WORK) 21. Calculate the Pearson Correlation Coefficient (r): (SHOW YOUR WORK) 22. How many degrees of freedom (df) are in this study? 23. If you are doing a two-tailed test and alpha = .05, find the critical value of r from the table: 24. What is your decision regarding the null hypothesis? Reject or Fail to Reject 25. How did you make the determination in Question #24? 26. If the Pearson Correlation Coefficient that you calculated in #21 remains the same, had 1 more participant (n = 7), what would your decision be? Reject or Fail to Reject but you 27. How did you make the determination in Question #26? 28. In words, describe the relationship between X and Y that you found in #26. 29. Based on what you found in #26, what is the proportion of variability in X that can be explained by Y?
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