Ql: Consider regression model Y,= B + B2X½+ B3X3, +U,with hypothetical data Evx, = 50, Eri = 20, = 0.5, Ey? = 300 , Ey.x, = 60, Exỉ = 30, %3D Σ E*3,x, n= 25 i. Find OLS estimates of B, and B, and derive their variances. Calculate R?and interpret it Construct 95% confidence interval for B and interpret it ii. iii.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Q1:
Consider regression model Y, = B + B2X½ + B3X3; +U, with hypothetical data
Ey.x, = 50, Exi = 20,
= 60, Eri = 30,
= 0.5, Ey? = 300 ,
n= 25
i.
Find OLS estimates of B, and B and derive their variances.
Calculate R²and interpret it
Construct 95% confidence interval for B, and interpret it
ii.
ii.
Transcribed Image Text:Q1: Consider regression model Y, = B + B2X½ + B3X3; +U, with hypothetical data Ey.x, = 50, Exi = 20, = 60, Eri = 30, = 0.5, Ey? = 300 , n= 25 i. Find OLS estimates of B, and B and derive their variances. Calculate R²and interpret it Construct 95% confidence interval for B, and interpret it ii. ii.
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