Question

In: Statistics and Probability

what is meant by independent and dependent variable as it pertains to correlation? Provide an example...

what is meant by independent and dependent variable as it pertains to correlation? Provide an example how do we quantitatively measure the strength of correlation between the two variables?

Solutions

Expert Solution

There are several ways to measure correlation between two variables. If two variables are independent of each other ,then they should have no correlation between each other. Graphically, the variables, when plotted should look like--

However, in case of dependent variables the correlation will be significant in comparison a pair of independent variables.

If we consider a pair of variables then the correlation between them is measured by correlation coeffcient, defined as--

, where sx and sy are the standard deviations of the two variables x & y.

If rx,y takes a value very close to zero, we would imply no correlation and conclude the variables to be independent of each other. On the other hand, when rx,y then we would suspect some linear correlation between the variables in question and further the value is from zero higher will be the correlation between them.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Describe a correlation analysis, and provide an example of one. Provide examples of dependent and independent...
Describe a correlation analysis, and provide an example of one. Provide examples of dependent and independent variables, as well.
Describe a correlation analysis, and provide an example of one. Provide examples of dependent and independent...
Describe a correlation analysis, and provide an example of one. Provide examples of dependent and independent variables, as well.
Describe a correlation analysis, and provide an example of one. Provide examples of dependent and independent...
Describe a correlation analysis, and provide an example of one. Provide examples of dependent and independent variables, as well.
1. If a dependent variable Y and independent variable X have a positive correlation, what can...
1. If a dependent variable Y and independent variable X have a positive correlation, what can we predict about the sign of the slope coefficient between X and Y in a simple regression? How about in a multiple regression? 2. What would you suspect if your multiple regression t-statistics were all insignificant but the F-statistic was significant? 3. Suppose you built a 95% confidence interval around a simple regression slope coefficient and got a lower bound of 5 and an...
1. Explain the meaning of independent and dependent variable. 2. What is the difference between correlation...
1. Explain the meaning of independent and dependent variable. 2. What is the difference between correlation and regression analysis? 3. An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars of this model and collected the following information on the ages (in years) and prices (in RM thousands) of these cars. Age, x 8 3 6 9 2 5...
what is the independent variable. what is the dependent variable, and what hypothesis test is it.
what is the independent variable. what is the dependent variable, and what hypothesis test is it.Imagine that you are interested to see if there is a relationship between gender, people's religion and what they consider the ideal family size to be. You would likely do this by recruiting individuals from different religious groups and asking them to report what they consider the ideal amount of children in a family. Let us further say that you ended up recruiting (via random...
Regression and Correlation Analysis Use the dependent variable (labeled Y) and one of the independent variables...
Regression and Correlation Analysis Use the dependent variable (labeled Y) and one of the independent variables (labeled X1, X2, and X3) in the data file. Select and use one independent variable throughout this analysis. Use Excel to perform the regression and correlation analysis to answer the following. Generate a scatterplot for the specified dependent variable (Y) and the selected independent variable (X), including the graph of the "best fit" line. Interpret. Determine the equation of the "best fit" line, which...
Identify the independent and dependent variable.
A researcher is studying relationship between speed of cycling and the presence of people. Formulate a relevant hypothesis and identify the independent and dependent variable.
In the following table, The independent variable is_______________ , and the dependent variable is_____________ What is...
In the following table, The independent variable is_______________ , and the dependent variable is_____________ What is the null and the alternative hypotheses?  Running a chi-square analysis, you obtain a chi-square value of 22.9 with a significance level of <0.000, which hypothesis (null or alternative) should you, therefore, choose as correct?  Can you estimate a directionalmeasure of association between these two variables? Why or why not?                                                                                    Sex Political party Male female Total Democrat 179 312 491 Republican 273 347 620 Independent 183 173...
15. In an experiment, an independent variable is _______ and a dependent variable is _______. Group...
15. In an experiment, an independent variable is _______ and a dependent variable is _______. Group of answer choices Manipulated, measured Measured, manipulated Discrete, summation Continuous, manipulated 16. Outliers are Group of answer choices The lowest and highest scores in a data set Extreme or unusual values All options present The lowest value in a data set 17. Assume that we have the following set of data:     Score                 11, 12, 17, 18, 19, 20, 21, 22, 23, 24,...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT