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PES Skill Sheets.book - Capital High School

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<strong>Skill</strong> Sheet 1.4: Creating Scatterplots<br />

1. Answers are:<br />

Data pair<br />

not necessarily<br />

in order<br />

Temp. Hours of<br />

heating<br />

Stopping<br />

distance<br />

Number of<br />

people<br />

in family<br />

Stream<br />

flow<br />

Tree<br />

age<br />

2. Answers are:<br />

3. Answers are:<br />

Hours of<br />

heating<br />

Page 5 of 57<br />

a. Table answers:<br />

b. 60 minutes<br />

c. 27.0 kilometers<br />

d. Adjusted scale for the x-axis: 3 per line or 5 per line;<br />

adjusted scale for the y-axis: 1.5 per line or 2 per line<br />

e. & f.<br />

Graph of position (km) vs. time (min):<br />

Time (min)<br />

g. After 45 minutes, the position would be about<br />

25.25 kilometers.<br />

<strong>Skill</strong> Sheet 1.4: What’s the Scale?<br />

1. Answers are: 2. The range is 30 and the scale is 1 per line.<br />

Range<br />

from 0<br />

14<br />

# of<br />

Lines<br />

10<br />

Range ≥ # of Lines<br />

14 ≥ 10 = ≥<br />

Calculated<br />

scale<br />

1.4<br />

Adj. scale<br />

(whole #)<br />

2<br />

3. The range is 25 and the scale is 3 per line.<br />

4. Answers are:<br />

Independent variable: Days; Dependent variable: Average<br />

Temperature (°F)<br />

8<br />

1000<br />

5<br />

20<br />

8 ≥ 5 =≥<br />

1000 ≥ 20 = ≥<br />

1.6<br />

50<br />

2<br />

50<br />

Range for x-axis = 11; Range for y-axis = 73<br />

Scale for x-axis = 1 day/box; Scale for y-axis = 4 °F/box<br />

547 15 547 ≥ 15 = ≥ 36.5 37<br />

99 30 99 ≥ 30 = ≥ 3.3 4<br />

35 12 35 ≥ 12 = ≥ 2.9 3<br />

<strong>Skill</strong> Sheet 1.4: Interpreting Graphs<br />

Independent Dependent<br />

Temp.<br />

Speed of a car Speed of a car Stopping<br />

distance<br />

Cost<br />

per week<br />

for groceries<br />

Number of<br />

people<br />

in family<br />

Cost<br />

per week<br />

for groceries<br />

Rainfall Amount of rainfall Rate of<br />

stream flow<br />

Average tree<br />

height<br />

Test score Number of<br />

hours studying<br />

for a test<br />

Population of<br />

a city<br />

Range Number<br />

of lines<br />

Number of<br />

schools needed<br />

Tree age Average tree<br />

height<br />

Number of hours Test score<br />

studying<br />

Population of a city Number of<br />

schools needed<br />

Range ≥ No.<br />

of lines<br />

Calculated<br />

scale<br />

(per line)<br />

Adj.<br />

scale<br />

(per line)<br />

13 24 13 ≥ 24 0.54 1<br />

83 43 83 ≥ 43 1.9 2<br />

31 35 31 ≥ 35 0.88 1<br />

100 33 100 ≥ 33 3.03 5<br />

300 20 300 ≥ 20 15 15<br />

900 15 900 ≥ 15 60 60<br />

Practice set 1: Scatterplot<br />

1. Graph title: “Money in cash box vs. hours washing cars.”<br />

2. The two variables are number of hours washing cars and the<br />

amount of money in the cash box.<br />

3. Hours<br />

Independent variable Dependent variable<br />

0 5.0<br />

10 9.5<br />

20 14.0<br />

30 18.5<br />

40 23.0<br />

50 27.5<br />

60 32.0<br />

4. Dollars<br />

5. 0 to 6<br />

6. The data would be concentrated toward the bottom quarter of<br />

the graph. All the data would appear within first three grid<br />

boxes of the y-axis.

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