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 the1999 per capita income for a state (denoted by y) from its1980 per capita income (denoted byx)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of fourteen states in the years1980 and 1999

(source: U.S. Bureau of Economic Analysis, Survey of Current Business, May2000). The data are plotted in the scatter plot in Figure 1.1980

per capita income,x(in$1000 s)1999 per capita income,y(in$1000s)Virginia10.229.5Nebraska9.327.4West Virginia8.220.9New Hampshire9.930.9Maryland11.232.2South Dakota8.125.1Vermont8.725.9Alabama7.922.9Kansas10.026.6Ohio10.127.1Pennsylvania10.228.7New Jersey11.836.1Washington10.930.3South Carolina7.823.5

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Figure1

The least-squares regression line for these data has a slope of approximately2.87

.Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult alist of formulas.)

What is the value of they-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places.

What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.