QUESTION 13 For Problem #13 through #16, consider the following context. The management at Revelation Rehabilitation, a nursing and physical therapy care facility, are exploring the relationship between the numbers of hours each clinical staff member undergoes professional development on safe patient care, represented by the independent variable x, and the number of patient-related injuries that staff member experiences annually, represented by the dependent variable y.  The data is as follows: x y 20 16 30 20 25 15 30 18 20 15 30 21 25 12 30 20 20 15 30 20   Predict the number of patient-related injuries if a staff member receives 26 hours of professional development.  [COMMENTS & HINTS:  Round the answer to the nearest whole unit or patient.]

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.4: Linear Regression
Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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QUESTION 13

  1. For Problem #13 through #16, consider the following context.

    The management at Revelation Rehabilitation, a nursing and physical therapy care facility, are exploring the relationship between the numbers of hours each clinical staff member undergoes professional development on safe patient care, represented by the independent variable x, and the number of patient-related injuries that staff member experiences annually, represented by the dependent variable y.  The data is as follows:

    x y
    20 16
    30 20
    25 15
    30 18
    20 15
    30 21
    25 12
    30 20
    20 15
    30 20
     

    Predict the number of patient-related injuries if a staff member receives 26 hours of professional development.  [COMMENTS & HINTS:  Round the answer to the nearest whole unit or patient.]

 

QUESTION 14

  1. For Problem #13 through #16, consider the following context.

    The management at Revelation Rehabilitation, a nursing and physical therapy care facility, are exploring the relationship between the numbers of hours each clinical staff member undergoes professional development on safe patient care, represented by the independent variable x, and the number of patient-related injuries that staff member experiences annually, represented by the dependent variable y.  The data is as follows:

    x y
    20 16
    30 20
    25 15
    30 18
    20 15
    30 21
    25 12
    30 20
    20 15
    30 20
     

    Compute the coefficient of determination.  [COMMENTS & HINTS:  Round to the nearest whole percent.  Include the percent symbol.

 

QUESTION 15

  1. For Problem #13 through #16, consider the following context.

    The management at Revelation Rehabilitation, a nursing and physical therapy care facility, are exploring the relationship between the numbers of hours each clinical staff member undergoes professional development on safe patient care, represented by the independent variable x, and the number of patient-related injuries that staff member experiences annually, represented by the dependent variable y.  The data is as follows:

    x y
    20 16
    30 20
    25 15
    30 18
    20 15
    30 21
    25 12
    30 20
    20 15
    30 20
     

    What percentage of the variability evidenced in the linear model is not a reflection of the interrelationship between the two variables?    [COMMENTS & HINTS:  You should round the answer to the nearest whole percent.]

 

QUESTION 16

  1. For Problem #13 through #16, consider the following context.

    The management at Revelation Rehabilitation, a nursing and physical therapy care facility, are exploring the relationship between the numbers of hours each clinical staff member undergoes professional development on safe patient care, represented by the independent variable x, and the number of patient-related injuries that staff member experiences annually, represented by the dependent variable y.  The data is as follows:

    x y
    20 16
    30 20
    25 15
    30 18
    20 15
    30 21
    25 12
    30 20
    20 15
    30 20

    Predict the number of patient-related injuries if a staff member receives 26 hours of professional development.  [COMMENTS & HINTS:  Round the answer to the nearest whole unit or patient.]

    Describe the correlation or association between the number of hours of professional development and the number of patient-related injuries by selecting the best choice.

      a.

    Response (a): There is a perfectly positive correlation or association. 

      b.

    Response (b): There is a strong to very strong, high to very high positive correlation or association.

      c.

    Response (c): There is a weak to moderate, low or only somewhat strong positive correlation or association. 

      d.

    Response (d): There is essentially no trend; any correlation or association seems random. 

      e.

    Response (e): There is a weak to moderate, low or only somewhat strong negative correlation or association. 

      f.

    Response (f): There is a strong to very strong, high to very high negative correlation or association. 

      g.

    Response (g): There is a perfectly negative correlation or association. 

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