34. Model With Mathematics The tabl the recommended distance of a lig y in feet, from the wall for differer heights x in feet. What is the equa trend line that models the data she table? What does the slope of the represent? 8. 10 11 12 y 20 27 33 40 48

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter4: Writing Linear Equations
Section4.5: Analyzing Lines Of Fit
Problem 27E
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Question 34
Quick Review
A paired data set (or a bivariate data set) has
a positive association when y-values tend to
increase as x-values increase and a negative
association when y-values tend to decrease
as x-values increase. When the relationship
between the paired data can be modeled with
a linear function, a line of best fit represents
the relationship. The paired data are positively
correlated if y-values increase as x-values increase
and negatively correlated if y-values decrease as
X-values increase.
Practice & Problem Solving
Describe the type of association each scatter
plot shows.
29.
12
8
4
2.
4
6.
8
30.
ty•
12
Example
Yama takes a course to improve his typing
speed. The scatter plot shows his progress over
six weeks. What is the relationship between the
number of weeks and Yama's typing speed?
8
4
2
6.
8.
ty
31. Reason Where should the line of best fit
be in relationship to the points plotted on a
scatter plot?
40
30
Use Appropriate Tools For each table, make a
scatter plot of the data. If the data suggest a
linear relationship, draw a trend line and write
its equation.
20
10
4
32.
33.
y
y
Week
3
40
As the number of weeks of practice increases,
so does the number of words typed per minute.
The scatter plot shows a positive association that
is approximately linear suggesting a positive
correlation between weeks and words typed per
8.
36
12
31
8
14
12
27
10
18
15
24
minute.
34. Model With Mathematics The table shows
the recommended distance of a light source
y in feet, from the wall for different ceiling
heights x in feet. What is the equation of the
trend line that models the data shown in the
table? What does the slope of the trend line
represent?
8.
9.
10
11
12
y 20 27
33 40 48
Words Typed per Minute
Transcribed Image Text:Quick Review A paired data set (or a bivariate data set) has a positive association when y-values tend to increase as x-values increase and a negative association when y-values tend to decrease as x-values increase. When the relationship between the paired data can be modeled with a linear function, a line of best fit represents the relationship. The paired data are positively correlated if y-values increase as x-values increase and negatively correlated if y-values decrease as X-values increase. Practice & Problem Solving Describe the type of association each scatter plot shows. 29. 12 8 4 2. 4 6. 8 30. ty• 12 Example Yama takes a course to improve his typing speed. The scatter plot shows his progress over six weeks. What is the relationship between the number of weeks and Yama's typing speed? 8 4 2 6. 8. ty 31. Reason Where should the line of best fit be in relationship to the points plotted on a scatter plot? 40 30 Use Appropriate Tools For each table, make a scatter plot of the data. If the data suggest a linear relationship, draw a trend line and write its equation. 20 10 4 32. 33. y y Week 3 40 As the number of weeks of practice increases, so does the number of words typed per minute. The scatter plot shows a positive association that is approximately linear suggesting a positive correlation between weeks and words typed per 8. 36 12 31 8 14 12 27 10 18 15 24 minute. 34. Model With Mathematics The table shows the recommended distance of a light source y in feet, from the wall for different ceiling heights x in feet. What is the equation of the trend line that models the data shown in the table? What does the slope of the trend line represent? 8. 9. 10 11 12 y 20 27 33 40 48 Words Typed per Minute
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