Assume you have data on weekly prices for 52 weeks for a Shampoo for two competitors A and B. Assume that these prices have been standardized to mean=0 and variance = 1.You want to understand the relationship between the two prices. You decide to perform two regressions. In regression 1, you use price of A as dependent variable, and price of B as independent variable. In regression 2, you use price of B as dependent variable, and price of A as independent variable.

Based on this assumption, which of the following statements is TRUE?

The regression coefficient for the independent variable (Price of B) in regression 1 will be equal to regression coefficient of predictor (Price of A) in regression 2.

The regression coefficient for the independent variable (Price of B) in regression 1 will not be equal to regression coefficient of predictor (Price of A) in regression 2.

Cannot be determined from the information provided