Amy investigates the impact of lecture attendance (LECTURE), tutorial attendance (TUTORIAL), study hours (STUDY) and party hours (PARTY) on the module test mark of a sample of 125 first-year Microeconomics students. In the first regression, she imposes the restrictions that the slope parameters of LECTURE and TUTORIAL are zero, and the R2 of this regression is 0.4777. There are no restrictions imposed in the second regression (i.e. all four slope parameters are non-zero), and the R2 of this regression is 0.6355. Test if it is correct to impose the abovementioned restrictions in the first regression at α = 1%.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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Amy investigates the impact of lecture attendance (LECTURE), tutorial attendance (TUTORIAL), study hours (STUDY) and party hours (PARTY) on the module test mark of a sample of 125 first-year Microeconomics students. In the first regression, she imposes the restrictions that the slope parameters of LECTURE and TUTORIAL are zero, and the R2 of this regression is 0.4777. There are no restrictions imposed in the second regression (i.e. all four slope parameters are non-zero), and the R2 of this regression is 0.6355. Test if it is correct to impose the abovementioned restrictions in the first regression at α = 1%.

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