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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

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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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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.

  1. Calculate the correlation coefficient ‘r’ for these values.
  2. What does a correlation coefficient tell about the relationship between two variables? Within what range can a correlation coefficient assume a value.
  3. 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

 
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