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Economics 310 Lecture 6 Test for a Regression

Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

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Page 1: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Economics 310

Lecture 6Test for a Regression

Page 2: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Basic Hypothesis

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Page 3: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Developing Test

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Page 4: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

F-Distribution

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Page 5: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Logic of Test

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Non-Rejection Region

Rejection Region

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Page 6: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

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

Page 7: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Calculating the F

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Page 8: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Simplifying the Calculation

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Page 9: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Anova Table

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

Page 10: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

F and R2

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Page 11: Economics 310 Lecture 6 Test for a Regression. Basic Hypothesis

Calculating F via R2 - Example

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