Question 1Stopping Distances In a study on speed control, it was found that the main reasons for regulations were to make traffic flow more efficient and to minimize the risk of danger. An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following tables to answer the questions. MPHBRAKING DISTANCES (FEET)202030454081501336020580411 Assume MPH is going to be used to predict stopping distance.Calculate the correlation coefficient ‘r’ for these values.What does a correlation coefficient tell about the relationship between two variables? Within what range can a correlation coefficient assume a value.Will you expect a positive, negative or zero correlation between the two variables for each of the following examplesVariablesType of CorrelationGrade of a student and hours spent studying Incomes and entertainment expenditures of households Ages of women and makeup expenses per month Price of a computer and consumption of coke Price and consumption of wine

Correlation coefficient is given by, Breaking distance depends on MPH. So breaking distance is…

Answered: In a study on speed control, it was…

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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Question 1

Stopping Distances

In a study on speed control, it was found that the main reasons for regulations were to make traffic flow more efficient and to minimize the risk of danger. An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following tables to answer the questions.

MPH	BRAKING DISTANCES (FEET)
20	20
30	45
40	81
50	133
60	205
80	411

Assume MPH is going to be used to predict stopping distance.

Calculate the correlation coefficient ‘r’ for these values.
What does a correlation coefficient tell about the relationship between two variables? Within what range can a correlation coefficient assume a value.
Will you expect a positive, negative or zero correlation between the two variables for each of the following examples

Variables	Type of Correlation
Grade of a student and hours spent studying
Incomes and entertainment expenditures of households
Ages of women and makeup expenses per month
Price of a computer and consumption of coke
Price and consumption of wine