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Suppose You Include Seasonality Controls in Your Model of U

question 19

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Suppose you include seasonality controls in your model of U.S.Personal Consumption Expenditures (billions)on U.S.Personal Income (billions)using quarterly data for the period 1969Q1-2013Q3 and you get  Consumption t=143.783+0.822 Income t1.782Q2t+11.431Q3t0.073Q4t(15.775)(0.002)(18.098)(18.099)(18.200)n=179R2=.9994\begin{array} { c } \text { Consumption } _ { t } =& - 143.783 +& 0.822 \text { Income } _ { t } - & 1.782 Q 2 _ { t } + & 11.431 Q 3 _ { t } -& 0.073 Q 4 _ { t } \\& ( 15.775 ) & ( 0.002 )& ( 18.098 ) & ( 18.099 ) & ( 18.200 ) \\& & { n } = 179 \\& & R ^ { 2 } = .9994\end{array}
A)Explain how you would create Q2t,Q3t,and Q4t.
B)Interpret the coefficients on Q2t,Q3t,and Q4t and comment on their statistical significance.


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