Achievement 96 94 62 91 77 86 71 59 63 GPA 2.7 3.1 1.6 3.2 3.0 3.8 2.6 3.0 2.2 Achievement 84 98 75 72 86 85 71 93 90 GPA 1.7 3.6 2.6 2.9 2.4 3.4 2.8 3.7 3.2 The correlation coefficient is - (Use graphing calculator. Round answer to three decimal places.)
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.
![It is assumed that achievement test scores should be correlated with
student's classroom performance. One would expect that students who
consistently perform well in the classroom (tests, quizzes, etc.) would also
perform well on a standardized achievement test (0 - 100 with 100
indicating high achievement). A teacher decides to examine this
hypothesis. At the end of the academic year, she computes a correlation
between the achievement test scores and the overall GPAS for her
students over the entire year. The data for her class are provided below.
Achievement
96
94
62
91
77
86
71
59
63
GPA
2.7
3.1
1.6
3.2
3.0
3.8
2.6
3.0
2.2
Achievement
84
98
75
72
86
85
71
93
90
GPA
1.7
3.6
2.6
2.9
2.4
3.4
2.8
3.7
3.2
The correlation coefficient is
. (Use graphing calculator. Round answer to three
decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F065aeed1-3e1e-43ad-816c-22b86e0fea45%2F6c30dc36-cfbb-40ca-b6a8-a6ede4b6de6e%2Fc01vg9p_processed.png&w=3840&q=75)
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