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b$)$ From your results in $($a$),$ report the $R^2$ and interpret it$,$ then discuss whether the explanatory variables are significant at the $5\%$ level of significance.

c$)$ Check the signs of your estimated coefficients ${}_1$ and ${}_2$ in your regression and explain whether the signs are what we expect $($think about how each variable impacts revenue. For the case of price, think about the relationship between elasticity of demand and price as discussed in your principles of microeconomics courses$).$ Explain your reasoning.

d$)$ Report the results on the joint hypothesis ${}_1={}_2=0.$ Explain what is the alternative hypothesis and whether you reject or fail to reject the null hypothesis.

e$)$ In the current week, the franchise had originally planned to spend $$7,000$ on advertising. According to the above results, does it make economic sense to increase advertising to $$8000($an increase of $$1000)?$ Explain your reasoning clearly.