Determine if there is correlation between the daily allowance of students and their mean grade in all of their subjects using the data below. Use Pearson's r product moment correlation and Spearman's rho rank correlation. When the correlation coefficient is low, test the hypothesis whether there is really a significant correlation or not. Use a = 0.05. Allowance in Pesos (X) 120 Average Grade (Y) 88 150 90 100 85 87 92 120 80 100 85 150 89 130 88 140 87 145 90
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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