In ongoing economic analyses, the U.S. 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 been able to predict 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 fourteen 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, and the least-squares regression line is drawn. The equation for this line is =y+0.382.75x . 1980 per capita income, x(in $1000s)1999 per capita income, y(in $1000s)South Dakota8.125.1Utah8.523.4West Virginia8.220.9Arkansas7.622.1Kentucky8.223.2New Mexico8.422.1Ohio10.127.1Minnesota10.330.6Vermont8.725.9Alabama7.922.9Montana9.122.3Maryland11.232.2Iowa9.725.7Washington10.930.3 y20222426283032343638x78910111213 Figure 1 Based on the above information, answer the following: 1. Fill in the blank: For these data, 1999 per capita incomes that are less than the mean of the 1999 per capita incomes tend to be paired with 1980 per capita incomes that are _____ the mean of the 1980 per capita incomes.Choose onegreater thanless than2. According to the regression equation, for an increase of one thousand dollars in 1980 per capita income, there is a corresponding increase of how many thousand dollars in 1999 per capita income? 3. What was the observed 1999 per capita income (in thousands of dollars) when the 1980 per capita income was 7.6 thousand dollars? 4. From the regression equation, what is the predicted 1999 per capita income (in thousands of dollars) when the 1980 per capita income is 7.6 thousand dollars? (Round your answer to at least one decimal place.)

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Description: In ongoing economic analyses, the U.S. 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

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In ongoing economic analyses, the U.S. 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 been able to predict the

1999

per capita income for a state (denoted by

) from its

1980

per capita income (denoted by

)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of fourteen 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, and the least-squares regression line is drawn. The equation for this line is

=y+0.382.75x

	1980 per capita income, x (in $1000s)	1999 per capita income, y (in $1000s)
South Dakota	8.1	25.1
Utah	8.5	23.4
West Virginia	8.2	20.9
Arkansas	7.6	22.1
Kentucky	8.2	23.2
New Mexico	8.4	22.1
Ohio	10.1	27.1
Minnesota	10.3	30.6
Vermont	8.7	25.9
Alabama	7.9	22.9
Montana	9.1	22.3
Maryland	11.2	32.2
Iowa	9.7	25.7
Washington	10.9	30.3

Figure 1

Based on the above information, answer the following:

1. Fill in the blank: For these data, 1999 per capita incomes that are less than the mean of the 1999 per capita incomes tend to be paired with 1980 per capita incomes that are _____ the mean of the 1980 per capita incomes.	Choose onegreater thanless than
2. According to the regression equation, for an increase of one thousand dollars in 1980 per capita income, there is a corresponding increase of how many thousand dollars in 1999 per capita income?
3. What was the observed 1999 per capita income (in thousands of dollars) when the 1980 per capita income was 7.6 thousand dollars?
4. From the regression equation, what is the predicted 1999 per capita income (in thousands of dollars) when the 1980 per capita income is 7.6 thousand dollars? (Round your answer to at least one decimal place.)

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