Determine the regression line equation from the given data. A study is conducted to compare the length of time between Group A and Group B to assemble a certain product. Experience indicates that the distribution of times for both Group A and Group B is approximately normal, and the population variances are equal. The data given are as The data given are as follow, For Group A: nA = 11, xà = 21.4, sA = 6.0, and For Group B: nB = 14, xB = 18.5, sB = 4.3 Test the claims that Group A use more time compare to Group B. Use a 1% level of significance.
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.
Determine the regression line equation from the given data. A study is conducted to compare the length of time between Group A and Group B to assemble a certain product. Experience indicates that the distribution of times for both Group A and Group B is approximately normal, and the population variances are equal. The data given are as follow:
The data given are as follow,
For Group A: ?? = 11, ??̅ = 21.4, ?? = 6.0, and
For Group B: ?? = 14, ?̅? = 18.5, ?? = 4.3
Test the claims that Group A use more time compare to Group B. Use a 1% level of significance.
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