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 34 Education 3 66 1 33 Click here for the Excel Data File a. Find the sample regression equation for the model: Salary = Bo + B1Education + ɛ. (Round answers to 2 decimal places.) Salary Education b. Interpret the coefficient for Education. O As Education increases by 1 year, an individual's annual salary is predicted to increase by $4,690. O As Education increases by 1 year, an individual's annual salary is predicted to decrease by $8,590. O As Education increases by 1 year, an individual's annual salary is predicted to decrease by $4,690. O As Education increases by 1 year, an individual's annual salary is predicted to increase by $8,590. c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.) Salary

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
icon
Related questions
icon
Concept explainers
Question
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
34
3
66
1
33
E Click here for the Excel Data File
a. Find the sample regression equation for the model: Salary = Bo + B1Education + ɛ. (Round answers to 2 decimal places.)
Salary =
Education
+
b. Interpret the coefficient for Education.
As Education increases by 1 year, an individual's annual salary is predicted to increase by $4,690.
O As Education increases by 1 year, an individual's annual salary is predicted to decrease by $8,590.
O As Education increases by 1 year, an individual's annual salary is predicted to decrease by $4,690.
O As Education increases by 1 year, an individual's annual salary is predicted to increase by $8,590.
c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4
decimal places and final answer to the nearest whole number.)
Salary
%24
Transcribed Image Text: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 34 3 66 1 33 E Click here for the Excel Data File a. Find the sample regression equation for the model: Salary = Bo + B1Education + ɛ. (Round answers to 2 decimal places.) Salary = Education + b. Interpret the coefficient for Education. As Education increases by 1 year, an individual's annual salary is predicted to increase by $4,690. O As Education increases by 1 year, an individual's annual salary is predicted to decrease by $8,590. O As Education increases by 1 year, an individual's annual salary is predicted to decrease by $4,690. O As Education increases by 1 year, an individual's annual salary is predicted to increase by $8,590. c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.) Salary %24
A
B
Salary
Education
34
3
66
1
89
56
71
7
80
2
111
7
51
23
7
36
100
1
35
1
71
68
163
56
86
58
4
128
33
Transcribed Image Text:A B Salary Education 34 3 66 1 89 56 71 7 80 2 111 7 51 23 7 36 100 1 35 1 71 68 163 56 86 58 4 128 33
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt