1. Fill in the blank: For these data, birthrates that are less than the mean of the birthrates tend to be paired with female life expectancies the mean of the female life expectancies. Choose one that are 2. Fill in the blank: According to the regression equation, for an increase of one (birth per 1000 people) in birthrate, there is a corresponding Choose one of 0.46 years in female life expectancy.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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1. Fill in the blank: For these data, birthrates that are less than the
mean of the birthrates tend to be paired with female life expectancies
that are
Choose one
the mean of the female life expectancies.
2. Fill in the blank: According to the regression equation, for an
increase of one (birth per 1000 people) in birthrate, there is a
corresponding
Choose one
of 0.46 years in female life expectancy.
3. From the regression equation, what is the predicted female life
expectancy (in years) when the birthrate is 45.6 births per 1000
people? (Round your answer to at least one decimal place.)
4. From the regression equation, what is the predicted female life
expectancy (in years) when the birthrate is 26.5 births per 1000
people? (Round your answer to at least one decimal place.)
Transcribed Image Text:1. Fill in the blank: For these data, birthrates that are less than the mean of the birthrates tend to be paired with female life expectancies that are Choose one the mean of the female life expectancies. 2. Fill in the blank: According to the regression equation, for an increase of one (birth per 1000 people) in birthrate, there is a corresponding Choose one of 0.46 years in female life expectancy. 3. From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 45.6 births per 1000 people? (Round your answer to at least one decimal place.) 4. From the regression equation, what is the predicted female life expectancy (in years) when the birthrate is 26.5 births per 1000 people? (Round your answer to at least one decimal place.)
Below are bivariate data giving birthrate and life expectancy information for
each of twelve countries. For each of the countries, both x, the number of
births per one thousand people in the population, and y, the female life
expectancy (in years), are given. Also shown are the scatter plot for the
data and the least-squares regression line. The equation for this line is
y = 81.87– 0.46x.
Birthrate, x
(number of
births per 1000
рop.)
Female life
expectancy, y
(in years)
85-
35.7
67.7
80
41.5
63.9
31.9
63.3
75+
メメ
19.9
73.0
70-
50.5
60.4
65-
24.4
72.7
60-
50.1
63.2
55
13.8
72.5
50
50.3
54.6
45.6
57.9
15.9
76.2
Figure 1
26.6
71.9
Transcribed Image Text:Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both x, the number of births per one thousand people in the population, and y, the female life expectancy (in years), are given. Also shown are the scatter plot for the data and the least-squares regression line. The equation for this line is y = 81.87– 0.46x. Birthrate, x (number of births per 1000 рop.) Female life expectancy, y (in years) 85- 35.7 67.7 80 41.5 63.9 31.9 63.3 75+ メメ 19.9 73.0 70- 50.5 60.4 65- 24.4 72.7 60- 50.1 63.2 55 13.8 72.5 50 50.3 54.6 45.6 57.9 15.9 76.2 Figure 1 26.6 71.9
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