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The results of the simple linear regression are provided below. y = 4.25 + 2.75x, SSxy = 5.15, SSx = 1.87 SSyy = 15.17, SSE = 1.0075 Calculate the value of r², the coefficient of determination. O 0.661 0.934 0.339 0.872

The results of the simple linear regression are provided below. y = 4.25 + 2.75x, SSxy = 5.15, SSx = 1.87 SSyy = 15.17, SSE = 1.0075 Calculate the value of r², the coefficient of determination. O 0.661 0.934 0.339 0.872

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The dean of the Business School at a small Florida college wishes to determine whether the grade-point average (GPA) of a graduating student can be used to predict the graduate’s starting salary. More specifically, the dean wants to know whether higher GPAs lead to higher starting salaries. Records for 23 of last year's Business School graduates are selected at random, and data on GPA (x) and starting salary (y, in $thousands) for each graduate were used to fit the model E(y) = β₀ + β₁x The results of the simple linear regression are provided below. \(\hat{y} = 4.25 + 2.75x, \, SS_{xy} = 5.15, \, SS_{xx} = 1.87\) \(SS_{yy} = 15.17, \, SSE = 1.0075\) **Calculate the value of \(r^2\), the coefficient of determination.** - ○ 0.661 - ● 0.934 - ○ 0.339 - ○ 0.872
Transcribed Image Text:The dean of the Business School at a small Florida college wishes to determine whether the grade-point average (GPA) of a graduating student can be used to predict the graduate’s starting salary. More specifically, the dean wants to know whether higher GPAs lead to higher starting salaries. Records for 23 of last year's Business School graduates are selected at random, and data on GPA (x) and starting salary (y, in $thousands) for each graduate were used to fit the model E(y) = β₀ + β₁x The results of the simple linear regression are provided below. \(\hat{y} = 4.25 + 2.75x, \, SS_{xy} = 5.15, \, SS_{xx} = 1.87\) \(SS_{yy} = 15.17, \, SSE = 1.0075\) **Calculate the value of \(r^2\), the coefficient of determination.** - ○ 0.661 - ● 0.934 - ○ 0.339 - ○ 0.872
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