Number of 15 10 8 18 6. Students Average Grades 85 90 82 80 84 92 (%) 1. Calculate the linear correlation coefficient (Round all answers to TWO decimal places) 2. Calculate the coefficient of determination (Round all answers to TWO decimal places) 3.The linear regression equation is y = (Round all answers to TWO decimal places) 4. Using your regression equation, what would you expect the average grade (%) to be in a class with 30 students? % (Round all answers to TWO decimal places) 20
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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revealed the following data.
Number
of
15
10
8.
18
6.
Students
Average
Grades
85
90
82
80
84
92
(%)
1. Calculate the linear correlation coefficient
(Round
all answers to TWO decimal places)
2. Calculate the coefficient of determination
(Round
all answers to TWO decimal places)
3.The linear regression equation is
y =
(Round all answers to
TWO decimal places)
4. Using your regression equation, what would you expect the average
grade (%) to be in a class with 30 students?
% (Round
all answers to TWO decimal places)
ASUS VivoBook
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b9ab9f7-9bb1-4c74-bf8f-d819b7e596b9%2F6283dfdf-272a-4bdc-94c3-0009b9b479f3%2Fm3sxr6q_processed.jpeg&w=3840&q=75)
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