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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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