Verified Document

Analysis Of Coefficient Correlation Essay

Correlation Statistics Select a data table from the article that best describes the use of the correlation and regression statistic

The table selected from the article is Table 3.

Age-adjusted correlation coefficients between HRR parameters and other variables

Boys

Girls

Correlation Coefficient

P

Correlation Coefficient

P

Waist circumference (cm)

DBP (mmHg)

Triglycerides (mg/dl)

Glucose (mg/dl)

Log-CRP

Identify and interpret the correlation coefficient and coefficient of determination in the data table

According to the data in the table illustrated above, the HRR parameters are negatively correlated with majority of the metabolic risk factors. These include the waist circumference, SBP, levels of serum triglycerides as well as the serum CRP levels. This is owing to the fact that the coefficient correlations of these parameters from the multiple linear regression analysis were negative, for both boys and girls. However, on the other hand, the coefficient correlations if serum HDL levels were positive which shows that this parameter is positively correlated with HRR (Lin et al., 2008).

Boys

R squared

Percentage

Girls

R squared

Correlation Coefficient

Coefficient of Determination

As a Percentage

Correlation Coefficient

Coefficient of Determination

As a Percentage

Waist circumference (cm)

1 min

-0.105

0.011025

1.10%

-0.078

0.006084

0.61%

2 min

-0.339

0.114921

11.49%

-0.308

0.094864

9.49%

3 min

-0.272

0.073984

7.40%

-0.352

0.123904

12.39%

SBP (mmHg)

1 min

0.004

0.000016

0.00%

-0.17

0.0289

2.89%

2 min

-0.138

0.019044

1.90%

-0.234

0.054756

5.48%

3 min

-0.118

0.013924

1.39%

-0.249

0.062001

6.20%

DBP (mmHg)

1 min

-0.045

0.002025

0.20%

-0.032

0.001024

0.10%

2 min

0.032

0.001024

0.10%

0.015

0.000225

0.02%

3 min

0.084

0.007056

0.71%

0.078

0.006084

0.61%

Triglycerides (mg/dl)

1 min

-0.11

Therefore, a higher coefficient implies a higher percentage of points that lie within the regression line. In this particular case, the longer-term heart rate recoveries which are 2 minutes and 3 minutes have a stronger correlation with the metabolic risks. This is in comparison with the shorter period HRR of 1 minute. For instance, with respect to HDL levels, the coefficient of determination of boys for 1 minute was 0.50%, 4.00% for 2 minutes and even higher, 7.84% for 3 minutes. This is the same for the coefficient of determination of girls. The inference is that there is a better goodness of fit for longer term HRR (Andale, 2012).
Data Representation

This can be deemed the best way to present the data. The reason thereto being that there are numerous metabolic risk factors, which are linked to the heart rate recovery. Therefore, it was important to analyze how each of these factors correlate to HRR to understand which of them is strongly linked to heart rate recovery. Therefore, the presentation of the correlation coefficient of all these metabolic risk factors makes it much easier to gain an understanding of…

Sources used in this document:
References

Andale. (2012). Coefficient of Determination (R Squared): Definition, Calculation. Retrieved 26 November 2015 from: http://www.statisticshowto.com/what-is-a-coefficient-of-determination/

Lin, L. Y., Kuo, H. K., Lai, L. P., Lin, J. L., Tseng, C. D., & Hwang, J. J. (2008). Inverse Correlation Between Heart Rate Recovery and Metabolic Risks in Healthy Children and Adolescents Insight from the National Health and Nutrition Examination Survey 1999-2002. Diabetes Care, 31(5), 1015-1020.
Cite this Document:
Copy Bibliography Citation

Related Documents

Correlation and Causation Understanding Correlation
Words: 1147 Length: 3 Document Type: Essay

Then values of x are plotted with the corresponding values of y. If the relationship between the variables is positive then a line drawn through the points will slope upward. This upward slope signifies that as the values for x increase the values corresponding values for y also increase. The opposite will be true for a negative relationship. In this case the line will slope downward and the correlation

Data Analysis Using Correlation and ANOVA
Words: 631 Length: 2 Document Type: Data Analysis

DATA ANALYSIS Problem 1Answer the question: Does practice time make a difference? Support your answer with your findings.The ANOVA single factor test was used to determine whether there was a difference in the swimming time by practice time. ANOVA was calculated using the following steps:i) Present the data in three columns by practice time as shown:less than 15 (1)15-25 (2)greater than 25(3)58.764.46855.355.865.961.858.754.749.554.753.664.552.758.76167.858.765.761.665.751.458.766.553.654.656.75951.555.454.751.561.454.856.957.2ii) State the null and alternative hypothesesHo: all means

Correlation and Simple Linear Regression
Words: 666 Length: 2 Document Type: Data Analysis Chapter

Correlation, Simple Linear Regression In this paper, we perform a linear regression analysis on previously collected data related to the number of daily e-mails received (R) and sent (S) by a particular user (the author). We have depicted the original daily e-mail data as a time series, incrementing N. By 1 for each day's measurement. The computed regression coefficient r is the slope of the regression line. A time series consists of

Correlations and Regression
Words: 625 Length: 2 Document Type: Essay

Correlation & Regression A fifth grade science teacher wants to know if there is a relationship between final exam scores and overall coursepoints after adjusting for a quiz score. In order to determine whether there was a significant relationship between overall coursepoints and final exam scores, after controlling for quiz scores, a hierarchical regression was run. All assumptions were assessed using SPSS. There was independences of residuals, as assessed by a Durbin-Watson

Correlation, Regression, and T-Tests Linear Regression Analyses
Words: 580 Length: 2 Document Type: Essay

Correlation, Regression, and T-Tests Linear regression analyses are conducted after correlation has been established (Cohen, West & Aiken, 2014). Correlation shows how two variables are related, that is how one variable behaves when the other changes. Regression analyses somehow quantify this relationship -- we use it to predict the value of the dependent variable at different values of the independent variable. Since regression analyses yield numerical values, they can only be

Techniques Correlation
Words: 484 Length: 2 Document Type: Term Paper

Mathematics Analysis Techniques: Correlation A positive correlation between annual income and amount spent on car would be expected. This means that there is a relationship between the two and that, in general, higher annual income would show an increase in the amount spent on car, while lower annual income would show a decrease in the amount spent on car. However, it would not be expected that this would be a strong relationship because

Sign Up for Unlimited Study Help

Our semester plans gives you unlimited, unrestricted access to our entire library of resources —writing tools, guides, example essays, tutorials, class notes, and more.

Get Started Now