4. Choose any three of your data points and label them A, B, and C. Y A 1984 16. B 198614.7 C19881132 5. Find the slope of the line through A and B. Then interpret this number in the context of the 61) 14.7) data. Do not use math words such as "rise", "run", or "change in x". Do use the actual number your response. a. Slope AB Y=-.7 b. What does it mean? Use a complete sentence. in cregse

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. Choose any three of your data points and label them A, B, and C.
Y
A 1984 16.1
1986 14.7
c1988132
B
5. Find the slope of the line through A and B. Then interpret this number in the context of the
data. Do not use math words such as "rise", "run", or "change in x". Do use the actual number
(1984. 161)
(1986,14.7)
in your response.
a. Slope AB M=-7
b. What does it mean? Use a complete sentence.
as
the years increase
the birth' vate continues
to
go up.
6. Now write the equation of the line through A and B. Since slope, m =
change in y
change in y =
change in x
m(change in x), or y – y1 = m(x – x1)
Have you simplified your equation so you can use it to predict y from x
7. According to your equation, what would predict the Infant Mortality rate to be in:
а. 1995
b. 2001
C.
2010
8. What is the y-intercept of your equation_
Interpret this value in the context of the
data.
9. Is there an x-intercept of your equation?
If not why not? If so interpret this value in
the context of the data.
54
Transcribed Image Text:4. Choose any three of your data points and label them A, B, and C. Y A 1984 16.1 1986 14.7 c1988132 B 5. Find the slope of the line through A and B. Then interpret this number in the context of the data. Do not use math words such as "rise", "run", or "change in x". Do use the actual number (1984. 161) (1986,14.7) in your response. a. Slope AB M=-7 b. What does it mean? Use a complete sentence. as the years increase the birth' vate continues to go up. 6. Now write the equation of the line through A and B. Since slope, m = change in y change in y = change in x m(change in x), or y – y1 = m(x – x1) Have you simplified your equation so you can use it to predict y from x 7. According to your equation, what would predict the Infant Mortality rate to be in: а. 1995 b. 2001 C. 2010 8. What is the y-intercept of your equation_ Interpret this value in the context of the data. 9. Is there an x-intercept of your equation? If not why not? If so interpret this value in the context of the data. 54
Linear Modeling Part 1
According to the South Carolina Vital and Mortality Statistics Bureau, the following data was reported
for the infant mortality rate per 1000 live births for South Carolina for selected years shown.
Year
1984 1986
1988
1989
1990
1993
1994
1998
2004
2007 2008
2012
Infant
Mortality
(rate per 1000
live births)
16.1
14.7
13.2
12.8
12.2
12.8
11.6
10.5
9.4
8.7
8.3
7.4
1.
Examine the data and describe the trend in words.
2. Construct a scatterplot of the data. Since we are examining how Infant Mortality changes with
respect to time or as a function of time, we use time as our independent variable, or "x-value"
and plot it on the horizontal axis; and Infant Mortality as our dependent variable. To streamline
our calculations later, use 1980 as time x = 0, 1984 as time x = 4 ect... Be sure to label your axis
with units.
3. Describe you graph in words. How does it compare to your description in #1?
53
Transcribed Image Text:Linear Modeling Part 1 According to the South Carolina Vital and Mortality Statistics Bureau, the following data was reported for the infant mortality rate per 1000 live births for South Carolina for selected years shown. Year 1984 1986 1988 1989 1990 1993 1994 1998 2004 2007 2008 2012 Infant Mortality (rate per 1000 live births) 16.1 14.7 13.2 12.8 12.2 12.8 11.6 10.5 9.4 8.7 8.3 7.4 1. Examine the data and describe the trend in words. 2. Construct a scatterplot of the data. Since we are examining how Infant Mortality changes with respect to time or as a function of time, we use time as our independent variable, or "x-value" and plot it on the horizontal axis; and Infant Mortality as our dependent variable. To streamline our calculations later, use 1980 as time x = 0, 1984 as time x = 4 ect... Be sure to label your axis with units. 3. Describe you graph in words. How does it compare to your description in #1? 53
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