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A professor is interested in understanding the factors on which the grades a student obtains in her final exam depends. She chooses the student's intelligence quotient (X₁), the grades obtained in the mid-term exam (X₂), the number of days the student was present in the class in the whole semester (X) as regressors. She randomly selects 120 students and estimates the following regression function: 9-65+1.23X,, +0.45X, 2.13X + where X₁X and X, denote the predicted value of grades obtained by the student, her intellegence quotient, the grades obtained by her in the mid-term exam, and the number of days she was present in the class in the whole semester, respectively She calculates the value of the regression R to be 0.78 The value of the adjusted R² (²) will be (Round your answer to two decimal places). Which of the following statements is not true about the A7 (Check all that apply) A The value of R is always greater than the given that the number of regressors remains the same in the regression equation. B. The value of increases when a new regressor is added to the regression equation. always lies between 0 and 1. can be gative c. The value of D. The value of R

A professor is interested in understanding the factors on which the grades a student obtains in her final exam depends. She chooses the student's intelligence quotient (X₁), the grades obtained in the mid-term exam (X₂), the number of days the student was present in the class in the whole semester (X) as regressors. She randomly selects 120 students and estimates the following regression function: 9-65+1.23X,, +0.45X, 2.13X + where X₁X and X, denote the predicted value of grades obtained by the student, her intellegence quotient, the grades obtained by her in the mid-term exam, and the number of days she was present in the class in the whole semester, respectively She calculates the value of the regression R to be 0.78 The value of the adjusted R² (²) will be (Round your answer to two decimal places). Which of the following statements is not true about the A7 (Check all that apply) A The value of R is always greater than the given that the number of regressors remains the same in the regression equation. B. The value of increases when a new regressor is added to the regression equation. always lies between 0 and 1. can be gative c. The value of D. The value of R

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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A professor is interested in understanding the factors on which the grades a student obtains in her final exam depends. She chooses the student's intelligence quotient (X₁), the grades obtained in the mid-term exam (X₂), the number of days the student was present in the class in the whole semester (X3) as regressors. She randomly selects 120 students and estimates the following regression function: 9-65-123X₁,-0.45X₂ +2.13X+U where YX₁ X₂ and X₂ denote the predicted value of grades obtained by the student, her intellegence quotient, the grades obtained by her in the mid-term exam, and the number of days she was present in the class in the whole semester, respectively She calculates the value of the regression to be 0.78 The value of the adjusted R² (²) will be (Round your answer to two decimal places) Which of the following statements is not true about the A? (Check all that apply) A The value of R² is always greater than the given that the number of regressors remains the same in the regression equation. B. The value of increases when a new regressor is added to the regression equation. C. The value of R always lies between 0 and 1. D. The value of can be nogative
Transcribed Image Text:A professor is interested in understanding the factors on which the grades a student obtains in her final exam depends. She chooses the student's intelligence quotient (X₁), the grades obtained in the mid-term exam (X₂), the number of days the student was present in the class in the whole semester (X3) as regressors. She randomly selects 120 students and estimates the following regression function: 9-65-123X₁,-0.45X₂ +2.13X+U where YX₁ X₂ and X₂ denote the predicted value of grades obtained by the student, her intellegence quotient, the grades obtained by her in the mid-term exam, and the number of days she was present in the class in the whole semester, respectively She calculates the value of the regression to be 0.78 The value of the adjusted R² (²) will be (Round your answer to two decimal places) Which of the following statements is not true about the A? (Check all that apply) A The value of R² is always greater than the given that the number of regressors remains the same in the regression equation. B. The value of increases when a new regressor is added to the regression equation. C. The value of R always lies between 0 and 1. D. The value of can be nogative
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