In a Simple Linear Regression Problem, the Least Squares Line $\tilde { y } = - 3.75 + 1.25 x$

question 266

True/False

In a simple linear regression problem, the least squares line is $\tilde { y } = - 3.75 + 1.25 x$ , and the coefficient of determination is 0.81. The coefficient of correlation must be -0.90.

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Definitions:

National Average

A statistic that represents the average value for a given variable across an entire nation.

University of Pennsylvania

A prestigious Ivy League university located in Philadelphia, known for its strong programs in business, law, engineering, and medicine.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values around the mean.

Sample Mean

The average value of a set of observations or data points in a sample.