Explain why we expect bs less than or equal to 0. What signs do you expect for the other slope parameters? Justify you answers. log(salary) = 8.34 + 0.0047LSAT + 0.248GPA+ 0.095log(libvol) + 0.038log(cost) + 0.0033rank 1 + ɛ n = 136, R? = 0.842
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.
![Explain why we expect bs less than or equal to 0.
What signs do you expect for the other slope parameters? Justify your
answers.
log(salary) =
8.34 + 0.0047LSAT + 0.248GPA + 0.095log(libvol)
+ 0.038log(cost) + 0.0033rank 1 + ɛ
n = 136, R2 = 0.842](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8a4644e-c0f7-45ab-8ca0-b43744e710eb%2F58be1dba-aca5-4a9c-b59a-b4e1b65b7cd4%2Fv1pos1u_processed.jpeg&w=3840&q=75)
![The median starting salary for new law graduates is determined by
log(salary) = B, + B,LSAT + B2GPA + B3log(libvol) + B4log(cost)
+ Bgrank 1+ E
where LSAT is the median LSAT score for the graduating students, GPA is the
median university GPA for the class, libvol is the number of volumes in the
institution law library, cost is the annual cost of attending university to read law,
and rank is a ranking for the institution offering the law degree (with rank 5 1
being the best).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8a4644e-c0f7-45ab-8ca0-b43744e710eb%2F58be1dba-aca5-4a9c-b59a-b4e1b65b7cd4%2Ftxagawb_processed.jpeg&w=3840&q=75)
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