In ongo.y cconomic 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 are the products of the 1980 per capita incomes and 1999 per capita incomes for each of the sixteen states. (These products, written in the column labelled "xy," may aid in calculations.) 1980 per capita 1999 per capita income, x income, y xy (in $1000 s) (in $1000 s) Florida 10.0 28.0 280 Wisconsin 10.2 27.4 279.48 38- North Dakota 8.1 23.5 190.35 36+ South Dakota 8.1 25.1 203.31 34+ Maine 8.4 25.0 210 32+ Virginia 10.2 29.5 300.9 30- Nevada 11.8 30.4 358.72 28 Delaware 10.8 30.7 331.56 26+ Alabama 7.9 22.9 180.91 24+ Nebraska 9.3 27.4 254.82 22+ Georgia 8.5 27.2 231.2 20- New Jersey 11.8 36.1 425.98 Oregon 10.2 27.1 276.42 Indiana 9.4 26.1 245.34 Figure 1 Utah 8.5 23.4 198.9 New Mexico 8.4 22.1 185.64 Send data to calculator Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
In ongo.y cconomic 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 are the products of the 1980 per capita incomes and 1999 per capita incomes for each of the sixteen states. (These products, written in the column labelled "xy," may aid in calculations.) 1980 per capita 1999 per capita income, x income, y xy (in $1000 s) (in $1000 s) Florida 10.0 28.0 280 Wisconsin 10.2 27.4 279.48 38- North Dakota 8.1 23.5 190.35 36+ South Dakota 8.1 25.1 203.31 34+ Maine 8.4 25.0 210 32+ Virginia 10.2 29.5 300.9 30- Nevada 11.8 30.4 358.72 28 Delaware 10.8 30.7 331.56 26+ Alabama 7.9 22.9 180.91 24+ Nebraska 9.3 27.4 254.82 22+ Georgia 8.5 27.2 231.2 20- New Jersey 11.8 36.1 425.98 Oregon 10.2 27.1 276.42 Indiana 9.4 26.1 245.34 Figure 1 Utah 8.5 23.4 198.9 New Mexico 8.4 22.1 185.64 Send data to calculator Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a list of formulas.) What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
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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Transcribed Image Text:In ongo.y cconomic 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 are the products of the 1980 per capita
incomes and 1999 per capita incomes for each of the sixteen states. (These products, written in the column labelled "xy," may aid in calculations.)
1980 per capita 1999 per capita
income, x
income, y
ху
(in $1000 s)
(in $1000 s)
Florida
10.0
28.0
280
Wisconsin
10.2
27.4
279.48
38+
North Dakota
8.1
23.5
190.35
36-
South Dakota
8.1
25.1
203.31
34-
Maine
8.4
25.0
210
32+
Virginia
10.2
29.5
300.9
30
Nevada
11.8
30.4
358.72
28
Delaware
10.8
30.7
331.56
26
Alabama
7.9
22.9
180.91
24
Nebraska
9.3
27.4
254.82
22
Georgia
8.5
27.2
231.2
20
New Jersey
11.8
36.1
425.98
Oregon
10.2
27.1
276.42
10
Indiana
9.4
26.1
245.34
Figure 1
Utah
8.5
23.4
198.9
New Mexico
8.4
22.1
185.64
Send data to calculator
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. (If necessary, consult a
list of formulas.)
What is the value of the sample correlation coefficient
for these data? Round your answer to at least three
decimal places.
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