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Distinguish between correlation and regression?

Correlation is a measure of the degree of agreement in the changes (variances) in two or more variables. In the case of two variables, if one of them increases by the same amount for a unit increase in the other, then the correlation coefficient is +1. If one of them decreases by the same amount for a unit increase in the other, then the correlation coefficient is -1. Lesser agreement results in an intermediate value. Regression involves estimating or quantifying this relationship. It is very important to remember that correlation and regression measure only the linear relationship between variables. A symmetrical relationshup, for example, y = x2 between values of x with equal magnitudes (-a < x < a), has a correlation coefficient of 0, and the regression line will be a horizontal line. Also, a relationship found using correlation or regression need not be causal.


If doubling the manipulating variable results in a doubling of the responding variable the relationship between the variables is a?

This would indicate that there is a linear relationship between manipulating and responding variables.


What you mean by linear relationship?

A linear relationship refers to a direct proportional connection between two variables, where a change in one variable results in a consistent change in the other. This relationship can be represented graphically as a straight line on a coordinate plane, typically described by the equation (y = mx + b), where (m) is the slope and (b) is the y-intercept. In this context, the slope indicates the rate of change between the variables, and a positive slope reflects a direct correlation, while a negative slope indicates an inverse correlation.


How can statistic determine the relationship between two phenomena?

Statistics can determine the relationship between two phenomena by using correlation and regression analysis. Correlation measures the strength and direction of a relationship between two variables, while regression analysis helps in understanding how the dependent variable changes as the independent variable varies. By analyzing data and identifying patterns, statisticians can infer potential causal relationships and make predictions. However, it's important to note that correlation does not imply causation, necessitating careful interpretation of results.


How does plotting results on a scatter graph help me draw a conclusion?

Plotting results on a scatter graph visually represents the relationship between two variables, allowing you to identify patterns, trends, or correlations. By examining the distribution of points, you can determine whether there is a positive, negative, or no correlation between the variables. This visual aid simplifies data interpretation, making it easier to draw conclusions about the nature and strength of the relationship. Additionally, it can highlight outliers or anomalies that may warrant further investigation.

Related Questions

Distinguish between correlation and regression?

Correlation is a measure of the degree of agreement in the changes (variances) in two or more variables. In the case of two variables, if one of them increases by the same amount for a unit increase in the other, then the correlation coefficient is +1. If one of them decreases by the same amount for a unit increase in the other, then the correlation coefficient is -1. Lesser agreement results in an intermediate value. Regression involves estimating or quantifying this relationship. It is very important to remember that correlation and regression measure only the linear relationship between variables. A symmetrical relationshup, for example, y = x2 between values of x with equal magnitudes (-a < x < a), has a correlation coefficient of 0, and the regression line will be a horizontal line. Also, a relationship found using correlation or regression need not be causal.


If doubling the manipulating variable results in a doubling of the responding variable the relationship between the variables is a?

This would indicate that there is a linear relationship between manipulating and responding variables.


What you mean by linear relationship?

A linear relationship refers to a direct proportional connection between two variables, where a change in one variable results in a consistent change in the other. This relationship can be represented graphically as a straight line on a coordinate plane, typically described by the equation (y = mx + b), where (m) is the slope and (b) is the y-intercept. In this context, the slope indicates the rate of change between the variables, and a positive slope reflects a direct correlation, while a negative slope indicates an inverse correlation.


In an experiment if doubling the manipulated variable results in a doubling of the responding variable the relationship between the variables is a?

it is a direct relationship -eli martin


How does plotting results on a scatter graph help me draw a conclusion?

Plotting results on a scatter graph visually represents the relationship between two variables, allowing you to identify patterns, trends, or correlations. By examining the distribution of points, you can determine whether there is a positive, negative, or no correlation between the variables. This visual aid simplifies data interpretation, making it easier to draw conclusions about the nature and strength of the relationship. Additionally, it can highlight outliers or anomalies that may warrant further investigation.


How does historical correlation differ from causation?

Historical correlation refers to a statistical relationship between two variables where they tend to move together over time, but this does not imply that one causes the other. Causation indicates a direct influence, where a change in one variable results in a change in another. Correlation can arise from coincidence, third factors, or confounding variables, making it crucial to conduct further analysis to establish causation. Thus, while two events may be correlated, it does not mean that one is responsible for the other.


What is the difference between cause and correlation?

A cause implies a direct relationship between two factors where one factor results in the other. Correlation, on the other hand, refers to a relationship where two factors are observed to change together but may not have a direct cause-and-effect link. Correlation does not imply causation.


Which correlation coefficient indicates the strongest relation between two variables?

Generally speaking it is the coefficient that produces a ratio between variables of 1:1. If the variables are of a dependent/independent framework, I find that Chronbach's or Pearson's produces the most accurate (desirable) results. Hope this helps for answering a very good question for what appears to be n enthusiastic novice investigator.


Does Lamictal affect serum HCG results?

No. There is no known correlation between the two.


What is the relationship between the results and the conclushion?

The relationship between results and conclusions are that the information from the results lead a person(s) to form a conclusion.


How can I perform a correlation analysis in SPSS?

To perform a correlation analysis in SPSS, you can follow these steps: Open SPSS and load your dataset by selecting "File" and then "Open" or by using the "Open" button on the toolbar. Once your dataset is loaded, go to the "Analyze" menu at the top of the SPSS window and select "Correlate." In the submenu that appears, choose "Bivariate." In the "Bivariate Correlations" dialog box, select the variables you want to include in the correlation analysis. You can either double-click on variables to move them to the "Variables" list or use the arrow buttons. You can select multiple variables by holding down the Ctrl key (or Command key on Mac) while clicking on the variables. By default, SPSS will calculate Pearson correlation coefficients. If you want to compute other types of correlation coefficients, such as Spearman's rank correlation or Kendall's tau-b, click on the "Options" button. In the "Bivariate Correlations: Options" dialog box, select the desired correlation coefficient under "Correlation Coefficients." You can also choose to calculate p-values and confidence intervals for the correlations by checking the corresponding options in the "Bivariate Correlations: Options" dialog box. After selecting the variables and options, click the "OK" button to run the correlation analysis. SPSS will generate the correlation matrix, which displays the correlation coefficients between all pairs of variables selected for analysis. The correlation matrix will appear in the output window. To interpret the correlation results, examine the correlation coefficients. Values range from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation. Additionally, consider the statistical significance of the correlations. If p-values were calculated, values below a certain threshold (e.g., p < 0.05) indicate statistically significant correlations. You can save the output as a file by selecting "File" and then "Save" or by using the "Save" button on the toolbar. That's how you can perform a correlation analysis in SPSS. Remember to carefully select the variables and interpret the results appropriately based on your research question or analysis objective.


What Confounding variables are there on a questionnaire?

Confounding variables on a questionnaire refer to factors that may influence the relationship between the variables being studied. For example, participant demographics, question wording, or response bias could confound the results. It is important to identify and control for these variables to ensure accurate and reliable data analysis.