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)

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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)
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