(4) The following table summarizes the results of an aptitude test given to six clerks to determine the correlation between test marks (x) and sales in the first month (y) in hundreds of dollars. Marks (x) 36 29 54 42 25 33 Sales (y) 48 45 90 72 42 50 i) Calculate the linear correlation coefficient and give your comment about the type of the relationship. ii) Construct the linear regression line that represents this relation. iii) Predict the sales of a vendor who obtains 47 on the test. iv) What is the amount of sale corresponding to the score 23?
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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