# Pearson product-moment correlation coefficient

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Statistics Worksheet Part A Question 1 a) Below is the calculation for the Pearson product-moment correlation coefficient between the total number of problems correct and the attitude toward test taking. Total no. of problems correct (out of a possible 20): X Attitude toward test taking (out of a possible 100): Y (X - X ̅)² (Y - Y ̅)² (X-X ̅)(Y-Y ̅) 1 17 94 1.96 204.49 20.02 2 13 73 6.76 44.89 17.42 3 12 59 12.96 428.49 74.52 4 15 80 0.36 0.09 -0.18 5 16 93 0.16 176.89 5.32 6 14 85 2.56 28.09 -8.48 7 16 66 0.16 187.69 -5.48 8 16 79 0.16 0.49 -0.28 9 18 77 5.76 7.29 -6.48 10 19 91 11.56 127.69 38.42 Total 156 797 42.40 1206.10 134.80 X ̅=156/10=15.6 Y ̅=797/10=79.7 r=(∑▒〖(X-X ̅)(Y-Y ̅ 〗) )/√(∑▒〖(X-X ̅ )^2 ∑▒(Y-Y ̅ )^2 〗) r=(134.80 )/√(42.40×1206.10)=0.5961…

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In the current study, the SDQ scores were only collected from children through self-report, multi-informant strategy by include parent reports and teacher reports could be used in future research to strength the research findings. Only one instrument was used in this study to evaluate the psychosocial health of children’s development as the dependent variable, which may not be valid and reliable for this study to be replicated. In order to improve the validity of psychosocial health evaluation…

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by the intra-class correlation coefficient (ICC) and an ICC of ≥ 0.70 was considered acceptable [12]. All scales had acceptable test-retest reliability (ICC ≥ 0.70) except for the Bother-Physical Health and Activity scales. Internal consistency reliability of ITP-PAQ was assessed using Cronbach 's alpha and an alpha coefficient of ≥ 0.70 was considered acceptable [12]. Cronbach 's alpha of ITP-PAQ ranged from 0.66 to 0.92. Cronbach 's alpha coefficients exceeded the acceptable level of internal…

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Discussion This longitudinal study assessed the extent to which academic achievement and engagement were predicted from the academic achievement and engagement of friends and network members. Concurrent Relations As expected, adolescent’s academic achievement was highly correlated with that of their friends and network members. This is consistent with findings from U.S. studies. Ryan (2001) found that students’ academic levels were similar to group’s academic levels with the correlations…

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points that a team allows to be scored on them? Here the correlation between three variables will be examined to come to a consensus of whether the points scored or points allowed correlates with the total number of wins. Like any observational study, it is important to come up with a basic hypothesis regarding the data that one is presented with, before any action of analysis. In this case, due to the two separate sets of variables that are being observed, there are two hypotheses. The first…

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Also, the variable happiness showed a positive correlation to academic functioning. Data Analysis Critique The data were analyzed using correlations. This type of data analysis studied the relationship between variables and chi-square test of model fit. Results Critique The major results of this study are that the three variables from emotion regulation were positively correlated with each other (including happiness, sadness, and anger). Also, peer assessed anger was negatively related to the…

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This supports our hypothesis, which states, “Employees who are lead by individuals they believe are quality leaders, and are offered mentor-type relationships with management, will perform better and this will lead to more quality output for the company.” This positive correlation shows that our survey respondents believe that quality leadership and mentoring lead to quality employee behaviors yielding quality company output. This makes sense as the individuals with quality leadership and…

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The value of the correlation coefficient is found to be insignificant at 5 per cent level. Secondly, the correlation between ROI and QR is 0.90 which is also found to be insignificant at 5 per cent level. It reveals that there is no correlation between the two variables. It is evident from these two ratios that the lower the company's margin of safety to the short term creditors, the greater is the profitability of the concern. Thirdly, the correlation coefficient between ROI and WCR is…

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scores using the Goteborg Assessment of Hemiplegia index. Further assessment included the Barthel Index scale for activities of daily living. Lastly, patients were debriefed (see appendix A.3). Results The data was subjected to a multiple regression analysis using the enter method in order to investigate the liner combination of the predictor variables age, time since stoke, combined Goteburg hand and wrist function score and Goteburg balance scores on the criterion variable Barthel Index…

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It was hypothesized that HAI would have a positive effect on mood, as HAI increased, mood would also to increase. There was no main effect between HAI and mood. This could be due to a small sample size. With a larger sample size, it is possible that the HAI would have a more significant effect on mood. According to a literature review completed in 2001 by Allen, Shykoff, and Izzo, previous research suggests that HAI has a positive correlation on an individual’s mood state. However, there are no…

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