Salary    Education 40    3 53    4 80    6 42    2 70    5 50    4 110    8 38    0 42    3 55    4 85    6 40    2 70    5 60    4 140    8 40    0 75    5 65    4 125    8 38    0 A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:   Salary Education   40     3     53     4     ⋮     ⋮     38     0     a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε. (Round your answers to 2 decimal places.)   b. Interpret the coefficient for Education.   multiple choice As Education increases by 1 year, an individual’s annual salary is predicted to increase by $10,850. As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $10,850. As Education increases by 1 year, an individual’s annual salary is predicted to increase by $8,590. As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $8,590.   c. What is the predicted salary (in $1,000s) for an individual who completed 7 years of higher education? (Do not round intermediate calculations. Round the final answer to 2 decimal places.)

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Salary    Education
40    3
53    4
80    6
42    2
70    5
50    4
110    8
38    0
42    3
55    4
85    6
40    2
70    5
60    4
140    8
40    0
75    5
65    4
125    8
38    0

A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:

 

Salary Education
  40     3  
  53     4  
       
  38     0  
 

a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε(Round your answers to 2 decimal places.)

 



b. Interpret the coefficient for Education.
 

multiple choice

  • As Education increases by 1 year, an individual’s annual salary is predicted to increase by $10,850.
  • As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $10,850.
  • As Education increases by 1 year, an individual’s annual salary is predicted to increase by $8,590.
  • As Education increases by 1 year, an individual’s annual salary is predicted to decrease by $8,590.


 

c. What is the predicted salary (in $1,000s) for an individual who completed 7 years of higher education? (Do not round intermediate calculations. Round the final answer to 2 decimal places.)

 
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