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1. Self-esteem, or a person's sense of their own worth, is a global concept that can be impacted by many elements of a person's life. A researcher would like to measure the association between academic self-efficacy, or a person's belief in their academic ability, and their self-esteem in general. Measures of both variables were gathered from ten participants, displayed in the table below. Academic self-efficacy 60 36 12 6 26 5 4 60 34 10 x=25.30 S²x=472.19 Sx = 21.73 Self-esteem 15 14 16 11 12 35 18 14 19 24 y = 17.80 S²y = 50.55 Sy = 7.11 a. Compute the Pearson correlation. b. Determine is the correlation coefficient is significant or not. c. If you were trying to predict someone's self-esteem from their academic self-efficacy, what would the equation be? d. If someone had a score of 83 for academic self-efficacy, what would be the best estimate of their self-esteem score? e. If someone had a score of 54 for academic self-efficacy, what would be the best estimate of their self-esteem score? f. If someone had a score of 33 for academic self-efficacy, what would be the best estimate of their self-esteem score?

1. Self-esteem, or a person's sense of their own worth, is a global concept that can be impacted by many elements of a person's life. A researcher would like to measure the association between academic self-efficacy, or a person's belief in their academic ability, and their self-esteem in general. Measures of both variables were gathered from ten participants, displayed in the table below. Academic self-efficacy 60 36 12 6 26 5 4 60 34 10 x=25.30 S²x=472.19 Sx = 21.73 Self-esteem 15 14 16 11 12 35 18 14 19 24 y = 17.80 S²y = 50.55 Sy = 7.11 a. Compute the Pearson correlation. b. Determine is the correlation coefficient is significant or not. c. If you were trying to predict someone's self-esteem from their academic self-efficacy, what would the equation be? d. If someone had a score of 83 for academic self-efficacy, what would be the best estimate of their self-esteem score? e. If someone had a score of 54 for academic self-efficacy, what would be the best estimate of their self-esteem score? f. If someone had a score of 33 for academic self-efficacy, what would be the best estimate of their self-esteem score?

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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### Understanding the Relationship Between Academic Self-Efficacy and Self-Esteem **Introduction** Self-esteem, or a person’s sense of their own worth, is a global concept that can be impacted by many elements of a person’s life. A researcher would like to measure the association between academic self-efficacy, or a person’s belief in their academic ability, and their self-esteem in general. Measures of both variables were gathered from ten participants, displayed in the table below. #### Data Table | Academic self-efficacy | Self-esteem | |------------------------|-------------| | 60 | 15 | | 36 | 14 | | 12 | 16 | | 6 | 11 | | 26 | 12 | | 5 | 35 | | 4 | 18 | | 60 | 14 | | 34 | 19 | | 10 | 24 | #### Statistical Values - Mean of Academic self-efficacy (\(\overline{x}\)): 25.30 - Mean of Self-esteem (\(\overline{y}\)): 17.80 - Variance of Academic self-efficacy (\(s_x^2\)): 472.19 - Variance of Self-esteem (\(s_y^2\)): 50.55 - Standard Deviation of Academic self-efficacy (\(s_x\)): 21.73 - Standard Deviation of Self-esteem (\(s_y\)): 7.11 ### Tasks and Questions a. **Compute the Pearson correlation.** b. **Determine if the correlation coefficient is significant or not.** c. **If you were trying to predict someone’s self-esteem from their academic self-efficacy, what would the equation be?** d. **If someone had a score of 83 for academic self-efficacy, what would be the best estimate of their self-esteem score?** e. **If someone had a score of 54 for academic self-efficacy, what would be the best estimate of their self-esteem score?** f. **If someone had a score of 33 for academic self-efficacy, what would be the best estimate of their self-esteem score?** ### Explanation of Tasks - **Task a**: To compute the Pearson correlation coefficient, you will need the
Transcribed Image Text:### Understanding the Relationship Between Academic Self-Efficacy and Self-Esteem **Introduction** Self-esteem, or a person’s sense of their own worth, is a global concept that can be impacted by many elements of a person’s life. A researcher would like to measure the association between academic self-efficacy, or a person’s belief in their academic ability, and their self-esteem in general. Measures of both variables were gathered from ten participants, displayed in the table below. #### Data Table | Academic self-efficacy | Self-esteem | |------------------------|-------------| | 60 | 15 | | 36 | 14 | | 12 | 16 | | 6 | 11 | | 26 | 12 | | 5 | 35 | | 4 | 18 | | 60 | 14 | | 34 | 19 | | 10 | 24 | #### Statistical Values - Mean of Academic self-efficacy (\(\overline{x}\)): 25.30 - Mean of Self-esteem (\(\overline{y}\)): 17.80 - Variance of Academic self-efficacy (\(s_x^2\)): 472.19 - Variance of Self-esteem (\(s_y^2\)): 50.55 - Standard Deviation of Academic self-efficacy (\(s_x\)): 21.73 - Standard Deviation of Self-esteem (\(s_y\)): 7.11 ### Tasks and Questions a. **Compute the Pearson correlation.** b. **Determine if the correlation coefficient is significant or not.** c. **If you were trying to predict someone’s self-esteem from their academic self-efficacy, what would the equation be?** d. **If someone had a score of 83 for academic self-efficacy, what would be the best estimate of their self-esteem score?** e. **If someone had a score of 54 for academic self-efficacy, what would be the best estimate of their self-esteem score?** f. **If someone had a score of 33 for academic self-efficacy, what would be the best estimate of their self-esteem score?** ### Explanation of Tasks - **Task a**: To compute the Pearson correlation coefficient, you will need the
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