Suppose we run the following linear regression model: Sales…

Questions

Suppоse we run the fоllоwing lineаr regression model: Sаles = b0 + b1*AdvertisingSpend + b2*StoreSize, where AdvertisingSpend is а store’s monthly advertising spending and StoreSize is measured in square feet. We find that b1​ is positive (stores that spend more on advertising tend to have higher sales) and b2​ is positive (larger stores tend to have higher sales). Assume that AdvertisingSpend and StoreSize are positively correlated (larger stores tend to spend more on advertising). If StoreSize were omitted from the model and only AdvertisingSpend were included, would you expect the estimated coefficient on AdvertisingSpend to be larger or smaller than the b1​ estimated when StoreSize is included? Explain briefly. Note: Use your understanding of regression analysis to answer this question. When answering, be sure to first state whether you expect the coefficient to become larger or smaller, and then explain why in your own words.