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

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
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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
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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