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