3. Ashoe manufacturer is considering developing a new brand of running shoes. Th

Question

3. Ashoe 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 to use in predicting the durability of running shoes are X1, the shock-absorbing capability, and X2,the change in impact properties over time. The dependent variable, Y is a measure of the shoe's durability after a repeated impact test. A random sample of 15 types of shoes gave the results in the accompanying table Complete parts a through c below. Click the icon to view the table of results a. State the multiple regression equation. X, (Type integers or decimals.) b. Interpret the meaning of the slopes, b1 and b2. Choose the correct answer below. O A. For a given value of change in impact properties, each increase of one unit of shock-absorbing capability and one unit increase in change in impact properties is estimated to result in a mean increase in durability of b1 and b2 units, respectively O B. For a given value of change in impact properties, each increase of one unit of shock-absorbing capability and one unit increase in change in impact properties is estimated to result in a mean decrease in durability of b1 and b2 units, respectively O C. An increase of one unit of durability is estimated to result in a mean increase in shock-absorbing capability of b1 units and a mean increase in impact properties of b2 units O D. The slopes, b1 and b2, cannot be interpreted individually. c. What conclusions can you reach concerning durability? O A. The model uses shock-absorbing capability to predict the durability of running shoes. The impact properties over time only affect the shock-absorbing capability directly. O B. The model uses both shock-absorbing capability and impact properties over time to predict the durability of running shoes. O C. The model uses impact properties over time to predict the durability of running shoes. The shock-absorbing capability only affects the impact properties over time directly O D. The durability of running shoes can be predicted using either shock-absorbing capability or impact properties over time, but not both

Explanation / Answer

a)

Y=-0.04576+0.82084 X1+0.59846X2

b)

option A is correct

c)

option B is correct

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