# An analysis of a correlation between

What is Correlation Analysis and How is it Performed? Correlation analysis is a vital tool in the hands of any Six Sigma team. As the Six Sigma team enters the analyze phase they have access to data from various variables. They now need to synthesize this data and ensure that they are able to find a conclusive relationship. Do you want a deeper analysis? If you know two numerical data about one kind of thing, and you have information about several pieces of this kind of things, then you can examine if there is a relationship between the two values. If you draw a diagram with the two values on axes X and Ythen the stronger the correlation, the more unequivocally can be seen on the diagram if the two values move together, i.

How to use this tool First of all find out between what kinds of things you want to examine correlation. It can be the weight and height of people, or temperate and number of ice creams sold, or the age and performance of an employee, and so on, any kind of numerical X-Y value pairs.

Write at least five value-pairs into the cells of the table above. After entering the datapairs, a scatterplot diagram immediately appears where you can visually check how the values move together and you can also see the strength of the correlation coefficientand the sureness p-value of the result is also shown.

Pearson or Spearman or Kendall? Pearson correlation coefficient is the most commonly used method, although it is very sensitive to outliers. Spearman and Kendall correlation coefficients are not sensitive to outliers but their explanatory power is lower.

Read our correlation coefficient demistified blogpost. Why you can't be absolutely sure? Because the experienced correlation between X and Y columns may come from the work of coincidence.

Your data comes from an experiment or observation that is not exactly repeatable, they are not accurate, there is a fluke in them. If you would measure again, you would get different values. This distribution causes that you can be sure about the relationship between the things only if you have several data and if the correlation is strong. The more data you have and the more strong the relationship between values, the bigger the certainty. If you have a small 12 rows chart, in which you have the seasons and their average temperatures and the number of computers sold in that season, then if there is a weak correlation between the values, this may be the work of coincidence, so you cannot say it with complete certainty that computer sales are in connection with the temperature.

However if you have lines of datapairs about the temperature of each days and the number of ice creams sold then - because of the many data and strong correlation - it is already sure that there is a relationship.

What does the p-value tell you? This certainty value shows, how likely it is, that the observed correlation coefficient came out only by coincidence. A low p-value below 0. A high p-value above 0. What does low sureness mean? It means that from these numbers it cannot be known whether there is a correlation between the two values or not.

So it does not mean that there is no correlation and the relationship experienced is only the work of coincidence but it means you cannot be sure, whether it is the work of coincidence or a real connection exists. What does high sureness mean?

It means that it is sure that there is a correlation between the values.

 John H. McDonald For example, in students taking a Maths and English test, we could use correlation to determine whether students who are good at Maths tend to be good at English as well, and regression to determine whether the marks in English can be predicted for given marks in Maths. Correlation and Linear Regression Any number closer to zero represents very low or no relationship at all. Step 1: Examine the linear relationship between variables (Pearson) Correlation focuses primarily on an association, while regression is designed to help make predictions. If the change in one variable effect the change in another variable, then the variables are said to be correlated.

It's important that despite of the certainty being high, it only means that there is a relationship between the two values, but the strength of the connection between the two datapairs may be minimal or negligible.

This is why you must also check the experienced strength of the correlation. How to increase the certainty? You need more data. If you continue your experiment or observation with a larger number of events, you will get better certainty, even if the strength of the correlation doesn't change.

How does it work? A complex algorithm calculates the correlation coefficients and the statistical significance related to them. But we don't want to bore you with math behind it, just use it.

You don't need university-level math in order to use a tool that is based on that. Upload or connect your datasource and analyse data in your spreadsheets.Covariance and correlation are two concepts in the field of probability and statistics.

Both concepts describe the relationship between two variables. Additionally, both are tools of measurement of a certain kind of dependence between variables. “Covariance” is defined as “the expected value.

## Correlation and Regression MCQS | MCQS Statistics | timberdesignmag.com

• Correlation analysis is used to measure strength of the association (linear relationship) between two variables – Only concerned with strength of the relationship – No causal effect is implied.

Scatter Plot Examples y x y x y y x x Linear relationships Curvilinear relationships. One can use either the CORREL Function or the Analysis ToolPak to deliver the correlation coefficient between two variables. The values for the correlation coefficient r fall in the range of + to , depending on the strength of the relationship between the two variables.

Oct 16,  · The Blockforce analysis, which looked at bitcoin and the Standard & Poor's Index (S&P ) from January through Oct.

11, , found that the correlation . Difference Between Correlation and Regression May 3, By Surbhi S 16 Comments Correlation and Regression are the two analysis based on multivariate distribution.

The regression analysis is a technique to study the cause of effect of a relation between two variables. whereas, The correlation analysis is a technique to study the quantifies the relation between .

Correlation Analysis using Correlation Plot in Power BI Desktop