1:26AAwww-awn.aleks.comO REGRESSION AND CORRELATIONPredictions from the least-squares.Shasia vIn ongoing economic analyses, the U.S. federal government comparesper capita incomes not only among different states but also for the samestate at different times. Typically, what the federal government finds isthat "poor" states tend to stay poor and "wealthy" states tend to staywealthy.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)? Thefollowing bivariate data give the per capita income (in thousands ofdollars) for a sample of fourteen states in the years 1980 and 1999 (sourceU.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 î=3.09 + 2.47x.1980 per capita 1999 per capitaincome, xincome, y(in $1000s)(in $1000s)Vermont8.725.9Hawai11.527.8Missouri9.426.234Nebraska9.327.432KansasNorth Dakota10.026.68.123.528.DelawareSouth Carolina10.830.7267.823.524New Jersey11.836.1Utah8.523.4Arizona9.625.3Montana9.122.3Maine8.425.0Figure 1Illinois11.131.3Send data to ExcellBased on the above information, answer the following:1. Fill in the blank: For these data, 1999 per capita incomes that aregreater than the mean of the 1999 per capita incomes tend to beChoose onepaired with 1980 per capita incomes that are1980 per capita incomes.the mean of the2. Fill in the blank: According to the regression equation, for anincrease of one thousand dollars in 1980 per capita income, there is aChoose onecorresponding of 2.47 thousand dollars in 1999 per capitaincome.3. From the regression equation, what is the predicted 1999 percapita income (in thousands of dollars) when the 1980 per capita28.284income is 10.2 thousand dollars? (Round your answer to at least onedecimal place.)4. From the regression equation, what is the predicted 1999 percapita income (in thousands of dollars) when the 1980 per capita28.284income is 10.8 thousand dollars? (Round your answer to at least onedecimal place.)?ExplanationCheck 4. From the regression equation, what is the predicted 1999 percapita income (in thousands of dollars) when the 1980 per capitaincome is 10.8 thousand dollars? (Round your answer to at least onedecimal place.)

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Description: 1:26AAwww-awn.aleks.comO REGRESSION AND CORRELATIONPredictions from the least-squares.Shasia vIn ongoing economic analyses, the U.S. federal government comparesper capita incomes not only among different states but also for the samestate at differen

The data is given by : 1980(x) 1999(y) 8.7 25.9 11.5 27.8 9.4 26.2 9.3 27.4 10 26.6…

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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 san 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 sta (denoted by ») 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 200 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 -3.09 + 2.47 1980 per capita 1999 per capita income, x income, y (in $1000s) (in $1000s) Vermont Hawali Missouri 8.7 25.9 11.5 27.8 9.4 26.2 Nebraska 9.3 27.4 Kansas North Dakota Delaware 10.0 26.6 8.1 23.5 2 10.8 30.7 South Carolina New Jersey 7.8 23.5 11.8 36.1 224 Utah 8.5 23.4 Arizona Montana 9.6 25.3 9.1 22.3 Maine 8.4 25.0 Figure 1 Ilinois 11.1 31.3 Send data to Excel Based on the above information, answer the following: 1. Fill in the blank: For these data, 1999 per capita incomes that are greater than the mean of the 1999 per capita incomes tend to be Choose one paired with 1980 per capita incomes that are 1980 per capita incomes. the mean of the 2. Fil in the blank: According to the regression equation, for an increase of one thousand dollars in 1980 per capita income, there is a Choose one corresponding of 2.47 thousand dollars in 1999 per capita income. 3. From the regression equation, what is the predicted 1999 per capita income (in thousands of dollars) when the 1980 per capita income is 10.2 thousand dollars? (Round your answer to at least one decimal place.) 28.284 4. From the regression equation, what is the predicted 1999 per capita income (in thousands of dollars) when the 1980 per capita income is 10.8 thousand dollars? (Round your answer to at least one decimal place.) 28.284 Explanation Check