Over Lesson 1–5
Which expression can be used to represent
fourteen less than twice the width?
A. 14 – 2 + w
B. 14 – 2w
C. 2w + 14
D. 2w – 14
A. A
Which expression can be used to find the number
of quarts in any number of gallons?
A.
B. q = 4g
C. 4q = g
D. 16q = g
B. B
C. C
D. D
You have already graphed ordered pairs and
relations on a coordinate system. (Lesson 1–4)
• Construct scatter plots.
• Analyze trends in scatter plots.
• scatter plot
Construct a Scatter Plot
BREAD The table shows the average cost of a loaf
of bread from 1920–2000. Make a scatter plot of the
data.
Let the horizontal axis, or x-axis, represent the year.
Let the vertical axis, or y-axis, represent the cost.
Construct a Scatter Plot
BREAD The table shows the average cost of a loaf
of bread from 1920–2000. Make a scatter plot of the
data.
Answer:
Graph the ordered pairs (year, cost).
BIRTH STATISTICS The table shows the
number of babies born at Central
Hospital during the past eight months.
Make a scatter plot of the data.
0%
A
B
C
D
D
0%
A.
B.
C.
D.
C
D.
B
C.
B.
A
A.
0%
0%
Example: The hours
you study and your test
average have a
positive relationship
(as your hours go up,
so do your scores)
Example: The minutes
a candle is burned and
the height of the candle
have a negative
relationship (the longer
you burn, the shorter
the candle)
Example: The number
of slices of pizza you
eat and your shoe size
(the is no obvious
relation to these two
pieces of data)
Interpret Scatter Plots
Determine whether the scatter plot of the heights of
basketball players and number of rebounds shows
a positive, negative, or no relationship. Explain
your answer.
As height increases,
the number of
rebounds increases.
Answer: positive relationship
.1
Determine whether the scatter plot of the weight
of a car and its miles per gallon shows a positive,
negative, or no relationship. Explain your answer.
As the weight of the car
(x-value) increases the
miles per gallon (y-value)
decreases.
Answer: negative relationship
Determine whether a scatter plot of the outside temperatures
and the corresponding heating bill might show a positive,
negative, or no relationship. Explain your answer.
A.
As the outside temperature increases,
the heating bill will decrease. This is a
negative relationship.
B.
As the outside temperature increases,
the heating bill will decrease. This is a
positive relationship.
C.
As the outside temperature increases,
the heating bill will increase. This is a
negative relationship.
D.
Outside temperature and heating bill
have no relationship.
A.
B.
C.
D.
A
B
C
D
Analyze Scatter Plots
A. TEMPERATURE The table shows temperatures
in degrees Celsius and the corresponding
temperatures in degrees Fahrenheit. Make a scatter
plot of the data.
Let the horizontal axis represent degrees Celsius and
the vertical axis represent degrees Fahrenheit.
Graph the data.
Analyze Scatter Plots
B. Draw a conclusion about the type of relationship
the data shows. Explain.
Answer: A positive relationship is shown. As °C
increase, so do °F.
Analyze Scatter Plots
C. Predict the Fahrenheit temperature for 35°C.
By looking at the pattern
on the graph, we can
predict that the
Fahrenheit temperature
corresponding to 35°C
would be about 95
degrees.
Answer: 95°F
A. STUDY SKILLS The table shows hours spent
studying for a test and the corresponding test score.
Make a scatter plot of the data.
A.
C.
B.
D.
A.
B.
C.
D.
A
B
C
D
B. STUDY SKILLS The table
shows hours spent studying for a
test and the corresponding test
score. Does the scatter plot show
a relationship between hours
studied and a student’s test
score?
A. Yes, a positive
relationship exists.
B. Yes, a negative
relationship exists.
C. No, no relationship
exists.
D. none of the above
A.
B.
C.
D.
A
B
C
D
C. STUDY SKILLS The table
shows hours spent studying for a
test and the corresponding test
score. Predict the test score for a
student who spends 7 hours
studying.
A. between 65 and 70
B. between 75 and 80
C. between 95 and 100
D. between 105 and 110
A.
B.
C.
D.
A
B
C
D