Here are the Assignment scores and Final scores of 12 STA201 students from Fall 2020: Assignment Score 4 14 23 26 16 24 12 10 17 4 21 Final Score 16 33 46 39 37 40 28 45 23 15 36 a) Find the relationship between final score and assignment score using a scatter diagram and interpret." b) Find correlation coefficient and comment. c) Fit a least square regression equation (line) of final score on assignment score and comment. d) What will be the final score when the assignment score is 19? e) Comment on the regression equation and explore how well it fits 30 31
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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