Suppose a researcher is interested in examining the relationship between a person’s gender and whether he or she listens to rap music. He collects a sample of n = 10 people and asks them whether they listen to rap music. The following table summarizes the results. Does Not Listen to Rap Music Listens to Rap Music Male 2 4 Female 2 2 The researcher wants to calculate the correlation between a person’s gender and whether he or she listens to rap music. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. He assigns 0 to “male” and 1 to “female.” He then assigns 0 to “does not listen to rap music” and 1 to “listens to rap music.” Complete the bottom two rows of the researcher’s data. Gender Listens to Rap Music 0 = male 0 = no 1 = female 1 = yes 1. 0 0 2. 0 0 3. 0 1 4. 0 1 5. 0 1 6. 0 1 7. 1 0 8. 1 0 9. 10. The phi correlation is the appropriate correlation for this experiment because . The phi correlation is .
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Does Not Listen to Rap Music
|
Listens to Rap Music
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Male | 2 | 4 |
Female | 2 | 2 |
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Gender
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Listens to Rap Music
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0 = male | 0 = no | |
1 = female | 1 = yes | |
1. | 0 | 0 |
2. | 0 | 0 |
3. | 0 | 1 |
4. | 0 | 1 |
5. | 0 | 1 |
6. | 0 | 1 |
7. | 1 | 0 |
8. | 1 | 0 |
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10. |
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