In: Statistics and Probability
You are an owner of Tesco supermarket. You have made feature advertisings for last 3 years. You want to know the effectiveness of this feature advertising on store traffic(numbers of shoppers) in different week. In data set, you have: average numbers of shoppers, average numbers of feature advertising, and average price each week.
Hi Price | Lo Price | |
Hi Adv | 832 | 1102 |
625 | 888 | |
821 | 1056 | |
605 | 1407 | |
545 | 878 | |
701 | 977 | |
454 | 999 | |
605 | 1212 | |
787 | 905 | |
568 | 655 | |
Lo Adv | 353 | 698 |
686 | 758 | |
455 | 987 | |
501 | 754 | |
801 | 625 | |
563 | 741 | |
423 | 532 | |
877 | 976 | |
235 | 668 | |
540 | 802 | |
No Adv | 555 | 689 |
350 | 444 | |
623 | 356 | |
421 | 690 | |
356 | 587 | |
489 | 568 | |
454 | 568 | |
423 | 452 | |
323 | 513 | |
428 | 425 |
Q1. Consider a regression model (Model I) that has feature advertising as a single independent variable with intercept. Estimate your model and interpret your estimation results.
Q2. Update above regression model (Model II) by adding an additional independent variable. average price in order to capture the effect of price promotion activities such as coupon during week. Estimate your model and interpret your estimation results. Do you think which model makes more sense between Model I and Model II? Why?