Select all correct interpretation of the estimated slope coefficient for income. There are three correct answers. Hint: I would suggest you look carefully at the raw dataset, specifically for Wisconsin, along with the rationale behind the interpretation of the MLR slope coefficients in lecture to help you answer this question. O If the per capita income in a state rose by one dollar, it would lead to roughly 3,179 additional residents in the state. V While keeping a state's life expectancy, high school graduation rate, and mean frosty days fixed, every additional dollar increase in per capita income would lead to roughly 3,179 additional residents in the state. After adjusting for life expectancy, high school graduation rate, and mean frosty days, one additional dollar in per capita income is expected to increase a state's population by roughly 3,179 residents. O If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate, and mean frost days remained the same, Wisconsin is expected to lose 10% of its residents. V If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate, and mean frost days remained the same, Wisconsin is expected to lose about 318 residents. V If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate, and mean frost days remained the same, Wisconsin is expected to lose about 1.420 million residents. If Wisconsin's per capita income decreased by 10%, it is expected to lose about 1.420 million residents. The unit of the slope for income is in dollars per thousand people.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
icon
Related questions
Question

MLR model, using r dataset, state.x77, with Population as the dependent variable, and Income, Life.Exp, HS.Grad, and Frost as the independent variables 

Select all correct interpretation of the estimated slope coefficient for income. There are three
correct answers.
Hint: I would suggest you look carefully at the raw dataset, specifically for Wisconsin, along with
the rationale behind the interpretation of the MLR slope coefficients in lecture to help you answer
this question.
O If the per capita income in a state rose by one dollar, it would lead to roughly 3,179 additional residents in
the state.
V While keeping a state's life expectancy, high school graduation rate, and mean frosty days fixed, every
additional dollar increase in per capita income would lead to roughly 3,179 additional residents in the state.
O After adjusting for life expectancy, high school graduation rate, and mean frosty days, one additional dollar
in per capita income is expected to increase a state's population by roughly 3,179 residents.
O If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate,
and mean frost days remained the same, Wisconsin is expected to lose 10% of its residents.
V If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate,
and mean frost days remained the same, Wisconsin is expected to lose about 318 residents.
V If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate,
and mean frost days remained the same, Wisconsin is expected to lose about 1.420 million residents.
O If Wisconsin's per capita income decreased by 10%, it is expected to lose about 1.420 million residents.
V The unit of the slope for income is in dollars per thousand people.
Transcribed Image Text:Select all correct interpretation of the estimated slope coefficient for income. There are three correct answers. Hint: I would suggest you look carefully at the raw dataset, specifically for Wisconsin, along with the rationale behind the interpretation of the MLR slope coefficients in lecture to help you answer this question. O If the per capita income in a state rose by one dollar, it would lead to roughly 3,179 additional residents in the state. V While keeping a state's life expectancy, high school graduation rate, and mean frosty days fixed, every additional dollar increase in per capita income would lead to roughly 3,179 additional residents in the state. O After adjusting for life expectancy, high school graduation rate, and mean frosty days, one additional dollar in per capita income is expected to increase a state's population by roughly 3,179 residents. O If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate, and mean frost days remained the same, Wisconsin is expected to lose 10% of its residents. V If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate, and mean frost days remained the same, Wisconsin is expected to lose about 318 residents. V If Wisconsin's per-capita income decreased by 10% while its life expectancy, high school graduation rate, and mean frost days remained the same, Wisconsin is expected to lose about 1.420 million residents. O If Wisconsin's per capita income decreased by 10%, it is expected to lose about 1.420 million residents. V The unit of the slope for income is in dollars per thousand people.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL