he following data shows the dexterity test scores of five assembly-line employees of Dimples Company Limited and their respective hourly productivity. Employee Score on dexterity test (?)
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.
The following data shows the dexterity test scores of five assembly-line employees of Dimples Company Limited and their respective hourly productivity.
Employee Score on dexterity test (?)
Ali 12
Kofi 14
Kwesi 17
Abudu 16
Nana 11
Units produced in an hour (?)
55
63
67
70 51
You are required to
(i) Write the regression equation
(ii) Interpret the regression equation
(iii) Calculate the Pearson’s Product Moment
(iv) Interpret the correlation coefficient
(v) Suppose the dexterity test score is 13, what would be the units produced in an hour?
(vi) Clearly explain (in detail) the difference between
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