Suppose you want to estimate the following regression model using the ordinary-least-squares (OLS) criteria: Y₁ = bo + b₁X₁ + ei. Consider the table of data below, where y=Y-Y, x= X - X, and Y, X are the sample averages of Y and X, respectively. What are the OLS estimates of bo and b₁? Y 813 788 858 726 871 X 93 57 31 99 24 Ob0=897; b1--1.41 1.8 -23.2 46.8 -85.2 59.8 O b0= 1.41; b1 = -897 O b0 -2.11; b1 = 951.64 0b0-951 64-b1 -2.11 x xy 32.2 57.96 1036.84 -3.8 88.16 14.44 -29.8 -1394.64 888.04 38.2 -3254.64 1459.24 -36.8 -2200.64 1354.24 x²

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 1E
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Suppose you want to estimate the following regression model
using the ordinary-least-squares (OLS) criteria:
Y₁ = bo + b₁X₁ + ei.
Consider the table of data below, where
y=Y-Y, x = X - X,
and Y, X are the sample averages of Y and X, respectively.
What are the OLS estimates of bo and b₁?
Y
813
788
858
726
871
X
93
57
31
99
24
y
1.8
-23.2
46.8
-85.2
59.8
Ob0= 897; b1-1.41
O b0= 1.41; b1 = -897
Ob0= -2.11; b1 = 951.64
Ob0951.64; b1 -2.11
xy
x²
32.2
57.96
1036.84
-3.8
88.16
14.44
*-29.8 -1394.64 888.04
38.2 -3254.64 1459.24
-36.8 -2200.64 1354.24
x
Transcribed Image Text:Suppose you want to estimate the following regression model using the ordinary-least-squares (OLS) criteria: Y₁ = bo + b₁X₁ + ei. Consider the table of data below, where y=Y-Y, x = X - X, and Y, X are the sample averages of Y and X, respectively. What are the OLS estimates of bo and b₁? Y 813 788 858 726 871 X 93 57 31 99 24 y 1.8 -23.2 46.8 -85.2 59.8 Ob0= 897; b1-1.41 O b0= 1.41; b1 = -897 Ob0= -2.11; b1 = 951.64 Ob0951.64; b1 -2.11 xy x² 32.2 57.96 1036.84 -3.8 88.16 14.44 *-29.8 -1394.64 888.04 38.2 -3254.64 1459.24 -36.8 -2200.64 1354.24 x
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