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.) 18.9 36.3 49.6 47.3 50.5 40.9 14.3 25.0 32.0 26.0 48.3 14.6 Send data to calculator Female life expectancy, y (in years) 74.3 66.5 60.8 59.5 59.3 64.2 73.6 74.5 64.0 70.5 54.1 75.0 Send data to Excel Female life expectancy (In years) 85 80+ 75+ 70+ 65- 60- 55- 50 Birthrate (number of births per 1000 pop.) Figure 1 The value of the sample correlation coefficient for these data is approximately -0.938. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list 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 the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. 0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 8CR
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Question
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.)
18.9
36.3
49.6
47.3
50.5
40.9
14.3
25.0
32.0
26.0
48.3
14.6
Send data to calculator
Female life expectancy,
y
(in years)
74.3
66.5
60.8
59.5
59.3
64.2
73.6
74.5
64.0
70.5
54.1
75.0
Send data to Excel
Female life expectancy
(In years)
80-
75+
70+
65+
60-
55+
50.
Birthrate
(number of births per 1000 pop.)
Figure 1
The value of the sample correlation coefficient for these data is approximately -0.938.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as
specified below. (If necessary, consult a list 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 the y-intercept of the least-squares regression line for these data?
Round your answer to at least two decimal places.
0
Transcribed Image Text: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.) 18.9 36.3 49.6 47.3 50.5 40.9 14.3 25.0 32.0 26.0 48.3 14.6 Send data to calculator Female life expectancy, y (in years) 74.3 66.5 60.8 59.5 59.3 64.2 73.6 74.5 64.0 70.5 54.1 75.0 Send data to Excel Female life expectancy (In years) 80- 75+ 70+ 65+ 60- 55+ 50. Birthrate (number of births per 1000 pop.) Figure 1 The value of the sample correlation coefficient for these data is approximately -0.938. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list 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 the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. 0
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