A shoe manufacturer is considering developing a new brand of running shoes. The business problem facing the marketing analyst is to determine which variables should be used to predict durability (i.e., the effect of long-term impact). Two independent variables under consideration are X1 (FOREIMP), a measurement of the forefoot shock-absorbing capability, and X2 (MIDSOLE), a measurement of the change in impact properties over time. The dependent variable T is LTIMP, a measure of the shoe's durability after a repeated impact test. Data are collected from a random sample of 15 types of currently manufactured running shoes, with the following results:

a. State the multiple regression equation.
b. Interpret the meaning of the slopes, b1 and b2, in this problem.

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Standard Variable Coefficients Error tStatistic p-Value Intercept 0.02686 0.06905-0.39 0.7034 FOREIMP 0.79116 006295 12.57 00000 MIDSOLE 0.60484 0.07174 8.43 0.0000