Homework Help is Here – Start Your Trial Now!
Math
Statistics
In ongoing economic analyses, the federal government compares per capita incomes not only among different states but also for the same state at different times. Typically, what the federal government finds is that "poor" states tend to stay poor and "wealthy" states tend to stay wealthy. Would we have gotten information about the 1999 per capita income for a state (denoted by y) from its 1980 per capita income (denoted by x)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of sixteen states in the years 1980 and 1999 (source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). The data are plotted in the scatter plot in Figure 1. Also given is the product of the 1980 per capita income and the 1999 per capita income for each of the sixteen states. (These products, written in the column labelled "xy", may aid in calculations.) Florida Nevada West Virginia Hawaii Arkansas Utah Kansas Montana North Dakota Nebraska Wisconsin 1980 per capita income, x (in $1000s) 10.0 11.8 8.2 11.5 7.6 8.5 0 10.0 9.1 8.1 9.3 10.2 Pennsylvania 10.2 Maryland 11.2 Virginia 10.2 South Carolina 7.8 Arizona 9.6 Send data to calculator ✓ 1999 per capita income, y (in $1000s) 28.0 30.4 20.9 27.8 22.1 23.4 26.6 22.3 23.5 27.4 27.4 28.7 32.2 29.5 23.5 25.3 Send data to Excel ху X 280 358.72 171.38 319.7 167.96 198.9 266 202.93 190.35 254.82 279.48 292.74 360.64 300.9 183.3 242.88 1999 per capita Income 5 ($0001$ 41) Figure 1 38- 36- 34+ 32- 30- 28+ 26. 24. 22- What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) X 1980 per capita income (in $1000s)

In ongoing economic analyses, the federal government compares per capita incomes not only among different states but also for the same state at different times. Typically, what the federal government finds is that "poor" states tend to stay poor and "wealthy" states tend to stay wealthy. Would we have gotten information about the 1999 per capita income for a state (denoted by y) from its 1980 per capita income (denoted by x)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of sixteen states in the years 1980 and 1999 (source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). The data are plotted in the scatter plot in Figure 1. Also given is the product of the 1980 per capita income and the 1999 per capita income for each of the sixteen states. (These products, written in the column labelled "xy", may aid in calculations.) Florida Nevada West Virginia Hawaii Arkansas Utah Kansas Montana North Dakota Nebraska Wisconsin 1980 per capita income, x (in $1000s) 10.0 11.8 8.2 11.5 7.6 8.5 0 10.0 9.1 8.1 9.3 10.2 Pennsylvania 10.2 Maryland 11.2 Virginia 10.2 South Carolina 7.8 Arizona 9.6 Send data to calculator ✓ 1999 per capita income, y (in $1000s) 28.0 30.4 20.9 27.8 22.1 23.4 26.6 22.3 23.5 27.4 27.4 28.7 32.2 29.5 23.5 25.3 Send data to Excel ху X 280 358.72 171.38 319.7 167.96 198.9 266 202.93 190.35 254.82 279.48 292.74 360.64 300.9 183.3 242.88 1999 per capita Income 5 ($0001$ 41) Figure 1 38- 36- 34+ 32- 30- 28+ 26. 24. 22- What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) X 1980 per capita income (in $1000s)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
See similar textbooks
icon
Related questions
Question
In ongoing economic analyses, the federal government compares per capita incomes not only among different states but also for the same state at different times. Typically, what the federal government finds is that "poor" states tend to stay poor and "wealthy" states tend to stay wealthy. Would we have gotten information about the 1999 per capita income for a state (denoted by y) from its 1980 per capita income (denoted by x)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of sixteen states in the years 1980 and 1999 (source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). The data are plotted in the scatter plot in Figure 1. Also given is the product of the 1980 per capita income and the 1999 per capita income for each of the sixteen states. (These products, written in the column labelled "xy", may aid in calculations.) Florida Nevada West Virginia Hawaii Arkansas Utah Kansas Montana North Dakota Nebraska Wisconsin 1980 per capita income, x (in $1000s) Pennsylvania Maryland Virginia South Carolina Arizona Send data to calculator 0 10.0 11.8 8.2 11.5 7.6 8.5 10.0 9.1 8.1 9.3 10.2 10.2 11.2 10.2 7.8 9.6 1999 per capita income, y (in $1000s) 28.0 30.4 20.9 27.8 22.1 23.4 26.6 22.3 23.5 27.4 27.4 28.7 32.2 29.5 23.5 25.3 Send data to Excel xy X 280 358.72 171.38 319.7 167.96 198.9 266 202.93 190.35 254.82 279.48 292.74 360.64 300.9 183.3 242.88 1999 per capita Income ($0001$ 41) Figure 1 38+ 36+ 34+ 32- 30+ 28- 26- 24. 22+ 20- X What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) 1980 per capita income (in $1000s)
Transcribed Image Text:In ongoing economic analyses, the federal government compares per capita incomes not only among different states but also for the same state at different times. Typically, what the federal government finds is that "poor" states tend to stay poor and "wealthy" states tend to stay wealthy. Would we have gotten information about the 1999 per capita income for a state (denoted by y) from its 1980 per capita income (denoted by x)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of sixteen states in the years 1980 and 1999 (source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). The data are plotted in the scatter plot in Figure 1. Also given is the product of the 1980 per capita income and the 1999 per capita income for each of the sixteen states. (These products, written in the column labelled "xy", may aid in calculations.) Florida Nevada West Virginia Hawaii Arkansas Utah Kansas Montana North Dakota Nebraska Wisconsin 1980 per capita income, x (in $1000s) Pennsylvania Maryland Virginia South Carolina Arizona Send data to calculator 0 10.0 11.8 8.2 11.5 7.6 8.5 10.0 9.1 8.1 9.3 10.2 10.2 11.2 10.2 7.8 9.6 1999 per capita income, y (in $1000s) 28.0 30.4 20.9 27.8 22.1 23.4 26.6 22.3 23.5 27.4 27.4 28.7 32.2 29.5 23.5 25.3 Send data to Excel xy X 280 358.72 171.38 319.7 167.96 198.9 266 202.93 190.35 254.82 279.48 292.74 360.64 300.9 183.3 242.88 1999 per capita Income ($0001$ 41) Figure 1 38+ 36+ 34+ 32- 30+ 28- 26- 24. 22+ 20- X What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) 1980 per capita income (in $1000s)
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS