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Splash Screen. A B C D. Which expression can be used to represent fourteen less than twice the width ?. A. 14 – 2 + w B. 14 – 2 w C. 2 w + 14 D. 2 w – 14. Which expression can be used to find the number of quarts in any number of gallons?. A. B. q = 4 g C. 4 q = g

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5 minute check 1
A

B

C

D

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

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

5-Minute Check 1
then now

You have already graphed ordered pairs and relations on a coordinate system. (Lesson 1–4)

  • Construct scatter plots.
  • Analyze trends in scatter plots.
Then/Now
example 1

Construct a Scatter Plot

BREADThe 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.

Example 1
example 11

Construct a Scatter Plot

BREADThe 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).

Example 1
example 12
A

B

C

D

A. B.

C.D.

BIRTH STATISTICSThe table shows the number of babies born at Central Hospital during the past eight months. Make a scatter plot of the data.

Example 1
concept

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)

Concept
example 2

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

Example 2
slide10

.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

example 21
A

B

C

D

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.

Example 2
example 3

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.

Example 3
example 31

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.

Example 3
example 32

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

Example 3
example 33
A

B

C

D

A.B.

C.D.

A. STUDY SKILLS The table shows hours spent studying for a test and the corresponding test score. Make a scatter plot of the data.

Example 3
example 34
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

Example 3
example 35
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

Example 3