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Economics 310
Lecture 6Test for a Regression
Basic Hypothesis
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Non-Rejection Region
Rejection Region
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Cigarette Demand Example
VARIABLE ESTIMATED STANDARD T-RATIO PARTIAL STANDARDIZED ELASTICITY
NAME COEFFICIENT ERROR 24 DF P-VALUE CORR. COEFFICIENT AT MEANS
Y 0.11255E-03 0.6637E-04 1.696 0.103 0.327 0.4512 0.2116
P -0.16941 0.9552E-01 -1.774 0.089-0.340 -0.3751 -0.1586
QLAG 0.65779 0.1505 4.370 0.000 0.666 0.6803 0.6554
CONSTANT 0.64609 0.2588 2.497 0.020 0.454 0.0000 0.2916
VARIANCE-COVARIANCE MATRIX OF COEFFICIENTS
Y 0.44050E-08
P -0.55953E-05 0.91240E-02
QLAG -0.76874E-05 0.85602E-02 0.22658E-01
CONSTANT 0.10231E-04 -0.14519E-01 -0.35764E-01 0.66967E-01
Y P QLAG CONSTANT
Calculating the F
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ANALYSIS OF VARIANCE - FROM MEAN
SS DF MS F
REGRESSION 1.2016 3. 0.40055 28.565
ERROR 0.33653 24. 0.14022E-01 P-VALUE
TOTAL 1.5382 27. 0.56969E-01 0.000
F and R2
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Calculating F via R2 - Example
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