Consider the following estimated demand function for coee: The regression equation is lndQt $=1$:$30$:$5$ ln Pt $+0$:$4$ ln It $0$:$24$ ln P $0$ t $0$:$3$D$1$t $+0$:$7$D$2$t $+0$:$1$D$1$t ln It $0$:$05$D$2$t ln It $+0$:$2$D$1$t ln Pt $+0$:$3$D$2$t ln Pt $0$:$2$D$1$t ln P $0$ t $0$:$1$D$2$t ln P $0$ t Predictor Coef Stdev Constant $1$:$30$:$4$ ln P $0$:$50$:$07$ ln I $0$:$40$:$42$ ln P $00$:$240$:$43$ D$10$:$30$:$03$ R$2=0$:$84$ D$20$:$70$:$03$ N $=132$ D$1$ ln I $0$:$10$:$04$ D$2$ ln I $0$:$050$:$35$ D$1$ ln P $0$:$20$:$45$ D$2$ ln P $0$:$30$:$55$ D$1$ ln P $00$:$20$:$9$ D$2$ ln P $00$:$10$:$87$ where Q $=$ pounds of coee consumed per capita P $=$ relative price of coee per pound at $1990$ prices I $=$ per capita personal disposable income, in thousands of $1990$ dollars P $0=$ relative price of sugar per quarter pound at $1990$ prices D$1=1$ for Europe D$2=1$ for North America ln $=$ natural logarithm $($a$)$ Interpret the estimated coecients of ln P$,$ ln I, and ln P $0?($b$)$ Test whether the demand for coee is price inelastic? $($c$)$ Test whether coee and sugar are complementary products? $($d$)$ Test whether the demand for coee is income elastic? $($e$)$ Interpret the estimated coecients of all the dummies i