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.) 1980 per 1999 per сapita income, x capita income, y ху (in $1000s) (in $1000s) Tennessee 8.3 25.6 212.48 36 Rhode Island 9.7 29.7 288.09 Texas Idaho 10.0 26.5 265 8.7 23.4 203.58 Arizona 9.6 25.3 242.88 Colorado 10.8 31.7 342.36 Maine 8.4 25.0 210 West Virginia Vermont 8.2 20.9 171.38 8.7 25.9 225.33 Louisiana 8.8 22.8 200.64 Kontuclo 100 24 1999 per capita income (in $1000s)
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.) 1980 per 1999 per сapita income, x capita income, y ху (in $1000s) (in $1000s) Tennessee 8.3 25.6 212.48 36 Rhode Island 9.7 29.7 288.09 Texas Idaho 10.0 26.5 265 8.7 23.4 203.58 Arizona 9.6 25.3 242.88 Colorado 10.8 31.7 342.36 Maine 8.4 25.0 210 West Virginia Vermont 8.2 20.9 171.38 8.7 25.9 225.33 Louisiana 8.8 22.8 200.64 Kontuclo 100 24 1999 per capita income (in $1000s)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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Transcribed Image Text:8.7
23.4
203.58
Idaho
30-
9.6
25.3
242.88
Arizona
28
Colorado
10.8
31.7
342.36
26-
Maine
8.4
25.0
210
24
West Virginia
8.2
20.9
171.38
22
Vermont
8.7
25.9
225.33
20-
Louisiana
8.8
22.8
200.64
Kentucky
8.2
23.2
190.24
13
10
11
12
Iowa
9.7
25.7
249.29
289.12
1980 per capita income
Michigan
10.4
27.8
280
(in $1000s)
Florida
10.0
28.0
Alabama
7.9
22.9
180.91
Figure 1
California
12.0
29.8
357.6
Send data to calculator
)(Send data to Excel
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.)
1999 per caplta In
(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.)
1980 per
1999 per
сapita
сapita
income, x
income, y
ху
(in $1000s)
(in $1000s)
38
Tennessee
8.3
25.6
212.48
36-
Rhode Island
9.7
29.7
288.09
34
Texas
10.0
26.5
265
Idaho
8.7
23.4
203.58
32
30.
Arizona
9.6
25.3
242.88
Colorado
10.8
31.7
342.36
28-
Maine
8.4
25.0
210
26-
West Virginia
8.2
20.9
171.38
24
Vermont
8.7
25.9
225.33
22
Louisiana
8.8
22.8
200.64
20-
VontuclN
100 2A
1999 per capita income
(In $1000s)
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