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Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births

Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births

x

per one thousand people in the population and the female life expectancy

y

(in years) are given. These data are displayed in the Figure 1 scatter plot.

Birthrate,x (number of births per 1000 pop.) Female life expectancy,y (in years)
14.6 77.1
18.1 73.6
50.1 59.1
46.2 58.4
40.3 65.6
27.3 72.7
14.8 72.5
24.3 74.8
34.7 68.7
32.6 63.1
48.4 55.5
50.8 62.6

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Female life expectancy (in years)

y

50

55

60

65

70

75

80

85

x

10

15

20

25

30

35

40

45

50

55

60

Birthrate (number of births per 1000 pop.)
Figure1

The value of the sample correlation coefficient

r

for these data is approximately

0.909

.

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.)

(a) What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places.
(b) 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.

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