Subject Extroversion Neuroticism 1 43 49 2 46 53 3 48 67 4 48 57 5 48 56 6 50 48 7 51 60 8 51 41 9 53 51 10 58 47 11 62 41 12 63 51 13 63 30 14 63 28 15 67 55 16 67 47 17 67 39 7. What is the standard error of the correlation coefficient for the association of extroversion and neuroticism in personalities.xls?
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.
Subject Extroversion Neuroticism
1 43 49
2 46 53
3 48 67
4 48 57
5 48 56
6 50 48
7 51 60
8 51 41
9 53 51
10 58 47
11 62 41
12 63 51
13 63 30
14 63 28
15 67 55
16 67 47
17 67 39
7. What is the standard error of the
8. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls.
H0: The population correlation coefficient is 0.
HA: The population correlation coefficient is not 0.
What is the value of the t-statistic corresponding to this test? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C).
9. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls.
H0: The population correlation coefficient is 0.
HA: The population correlation coefficient is not 0.
What is the critical value of the t-statistic required to reject the null hypothesis at a confidence level of 0.05? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C).
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