Find the regression line relating the statistics final average to the OR final average. (c) Estimate the correlation coefficient.
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 final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final averages are jointly
Find the regression line relating the statistics final average to the OR final average.
(c) Estimate the
![Statistics
86
75
69
75
90
OR
80
81
75
81
92
Statistics
94
83
86
71
65
OR
95
80
81
76
72
Statistics
84
71
62
90
83
OR
85
72
65
93
81
Statistics
75
71
76
84
97
OR
70
73
72
80
98](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75e25cd3-6b4e-44c9-9048-2438eece5c05%2F3f574d83-0f4f-4030-ab3f-5edd5fbf1602%2Fqy0115_processed.png&w=3840&q=75)
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