2. 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 un- der consideration are X 1 (FOREIMP), a measurement of the forefoot shock-absorbing capability, and X 2 (MIDSOLE), a measurement of the change in impact properties over time. The dependent variable Y 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: Standard Error Variable Coefficients t Statistic p-Value Intercept -0.02686 0.06905 -0.39 0.7034 FOREIMP 0.79116 0.06295 12.57 0.0000 MIDSOLE 0.60484 0.07174 8.43 0.0000 A: state the multiple regression equation b. interpret the meaning of the slopes, b1 and b2 in this problem. c. what conclusions can you reach concerning durability? Activato Window
2. 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 un- der consideration are X 1 (FOREIMP), a measurement of the forefoot shock-absorbing capability, and X 2 (MIDSOLE), a measurement of the change in impact properties over time. The dependent variable Y 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: Standard Error Variable Coefficients t Statistic p-Value Intercept -0.02686 0.06905 -0.39 0.7034 FOREIMP 0.79116 0.06295 12.57 0.0000 MIDSOLE 0.60484 0.07174 8.43 0.0000 A: state the multiple regression equation b. interpret the meaning of the slopes, b1 and b2 in this problem. c. what conclusions can you reach concerning durability? Activato Window
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2. 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 un- der consideration are X 1
(FOREIMP), a measurement of the forefoot shock-absorbing
capability, and X 2 (MIDSOLE), a measurement of the change
in impact properties over time. The dependent variable Y 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:
Standard
Variable
t Statistic p-Value
Coefficients Error
0.06905
Intercept -0.02686
-0.39 0.7034
FOREIMP
0.79116
0.06295
12.57
0.0000
MIDSOLE
0.60484
0.07174
8.43 0.0000
A: state the multiple regression equation
b. interpret the meaning of the slopes, b1 and b2 in this
problem.
c. what conclusions can you reach concerning durability?
Activato Window
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