A local coffee shop models the number of customers in its shop according to the time of day (t = 0 corresponds to the opening time of 5:00 a.m. The coffee shop uses the polynomial regression N() = -0.07P – 0.04f + 5.2t + 30 with the coefficient of determination ? = 0.94. AN(1) 50 40 30 20

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

69

A local coffee shop models the number of customers in its shop according to the time of day (t=0 corresponds to the opening time of 5:00 a.m.) by counting customers at certain times and taking the average number of customers over a one-month period.
The coffee shop uses the polynomial regression N() = -0.07 - 0.04P + 5.2t + 30 with the coefficient of determination 2 = 0.94.
4
12
Is this model appropriate for tvalues between 0 and 10?
O No, this model is not appropriate because this data should be modeled by a logistic function.
O No, this model is not appropriate because this data should be modeled by a linear function.
O Yes, this model is appropriate because the number of customers is concave down between t= 0 and t= 10.
O Yes, this model is appropriate because this data should be modeled by a polynomial, and the function fits the data strongly.
Transcribed Image Text:A local coffee shop models the number of customers in its shop according to the time of day (t=0 corresponds to the opening time of 5:00 a.m.) by counting customers at certain times and taking the average number of customers over a one-month period. The coffee shop uses the polynomial regression N() = -0.07 - 0.04P + 5.2t + 30 with the coefficient of determination 2 = 0.94. 4 12 Is this model appropriate for tvalues between 0 and 10? O No, this model is not appropriate because this data should be modeled by a logistic function. O No, this model is not appropriate because this data should be modeled by a linear function. O Yes, this model is appropriate because the number of customers is concave down between t= 0 and t= 10. O Yes, this model is appropriate because this data should be modeled by a polynomial, and the function fits the data strongly.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education