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Box office Example with 2 Dummy variables: Let us define two dummy variables First yr box Total Prod Dummy Dummy Cost Promational Total Book Costs million dollan tion dailand (miltlion dollar li dolland Horro 85.10 106.30 50.20 130.60 5480 0.30 7940 91.00 5.10 5.80 2.10 8.50 12.90 5.20 10.70 3.10 3.50 9.20 9.00 15.10 0.20 7.00 14.00 4.70 8.80 15.10 12.20 0.60 3.50 9.70 5.90 20.80 7.90 10.40 3.00 Horror Drama 2.90 1.20 3.70 7.60 Drama 89.30 95.00 4.50 4.00 9.00 Sci-fi Sci-f Use the tale below to construct your 0/1 dummy variables Horror Drama Sci-fi Regression Analysis RA2 0.891 Adjusted RA2 O.801 R 0.944 n 12 Std. Error 13.807 Dep.var. У ANOVA table Source Regression 9,392.9348 Residua 1.143.7420 Total 10.536.6768 5 1,878.5870 190.6237 9.85 interval variables coeficients std. erroriamumasst df 6 .....-value 95% lower 95% upper 11.8946 12.4024 2.2486 3.0124 1.6161 0.8667 7.6008 10,8600 7.5497 12.4735 0.959 0.948 3 2.308 1.865 0.700 .S1 3746 18.4530 42 2.1321 6.9511 3.370 0605 ,4199 1115 0.5046 5102 18.9727 7.6344 14.322 34.1743 38.0714 xdH4) Test the significance of the regression model (complete the following steps) Ha: At least one of βι, β2, β3β..A * o 2. 0.05 3. Test statistic: F 4. Reject Ho if F>Fa or p-value< alpha P-value_ or>0.052 Decision: 5. Conclusion: 5) Test the significance of each dummy variable (complete the steps) Testing the significance of β4 2. α-0.05 3. Test statistic: t 4. Reject Ho if bta/2 or t<-ta/2 Or p-value <0.05 P-value_ <or>0.05? Decision: 5. Conclusion:Testing the significance of B 1. Hof,-0 2. -0.05 3. Test statistic: t 4. Reject Ho if=>ta/2= or t<ta/2 Or p value< 0.05 ct P-value« «or < or>0.05? · Decision: 5. Conclusion: 6) What is a point prediction and 95% prediction interval for the firstyear box office of a drama movie with total production cost of 8 million, total promotional costs of 6 million, and total book sales of 9 million? 7) What is the equation used to predict the sales of a sci-fi movie?

math   Statistics-And-Probability   
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