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```Algebra 1
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Construct a scatter plot. State if there appears to be a positive correlation, negative correlation,
or no correlation. When there is a correlation, identify the relationship as linear, quadratic, or
exponential. Also find the slope-intercept form of the equation of the line that best fits the data
and its r² value.
1)
X
100
100
200
300
500
Y
7,000
7,000
7,000
6,000
5,000
X
600
700
700
900
1,000
2)
Y
4,000
3,000
3,000
2,000
1,000
X
200
400
600
600
700
Y
310
180
290
790
500
X
800
800
800
900
1,000
Y
100
310
780
780
380
7000
700
6000
600
5000
500
4000
400
3000
300
2000
200
1000
100
200
400
600
800
1000
200
400
600
800
1000
Worksheet by Kuta Software LLC
-1-
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3)
X
20
70
120
150
Y
20
20
30
20
X
210
330
530
Y
30
40
50
X
610
760
890
4)
Y
60
50
70
X
300
400
900
1,100
2,800
Y
6
6
6
6
4
X
2,900
4,600
5,400
9,500
9,700
Y
5
4
3
1
1
70
6
60
5.5
5
50
4.5
40
4
3.5
30
3
2.5
20
2
1.5
10
1
200
400
600
0.5
800
2000
5)
X
0.1
0.3
0.3
0.4
0.4
Y
0.19
0.29
0.33
0.4
0.4
X
0.5
0.5
0.6
0.9
1.2
4000
6000
8000
Y
0.42
0.44
0.46
0.68
0.86
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.5
1
1.5
2
Worksheet by Kuta Software LLC
-2-
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6) The number of marriage licenses issued by
Clark County Nevada, the county where
Las Vegas is located, has been decreasing
since the year 2000:
This can be modeled by the equation
y = -3566.7x + 7276500 where x is the
year and y is the number of marriage
139,000
135,000
126,000
109,000
105,000
90,900
2001
2002
2005
2010
2011
2014
150000
140000
130000
120000
110000
100000
90000
2000 2004 2008 2012 2016
Year
a) What does the y-intercept of this function represent?
Y- Intercept year = marriage licenses
b) According to the model, how many marriage licenses were issued in 2004? Round your
answer to the nearest hundred. 131,800
c) Using this model, how many marriages licenses would you expect to be issued in 2017?
d) According to the model, in what year did Clark County issue 110,000 marriage licenses?
2007
Worksheet by Kuta Software LLC
-3-
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Minted (100 mill.) In Sample
3.5
5
8
16
10.9
19
13.2
33
15.7
36
17
39
Natalie discovered that this can be modeled
by the equation y = 2.61x - 4.99 where x is
the number of nickels minted in a particular
year in hundreds of millions and y is the
number of nickels from that year in her
sample.
40
# In Sample
7) Natalie collects coins. Over a three-year
period she collected 1,000 nickels. After
organizing them by year, she found that the
number of nickels from a given year was
related to the number minted that year:
30
20
10
2
4
6
8 10 12 14 16
# Minted (100 million)
a) What does the y-intercept of this function represent?
the number of nickels in the sample when zero were nickels
b) Using this model, in a sample of 1,000 nickels how many would you expect to be from a year
in which 5.4 hundred million were minted? Round your answer to the nearest whole number.
19 coins
c) According to the model, how many nickels from a year in which 21 hundred million were
minted would you expect to find in a sample of 1,000? Round your answer to the nearest whole
number.
33 coins
d) A sample of 1,000 nickels contains 20 from a particular year. According to the model, how
many would you expect to have been minted that year? Round your answer to the nearest tenth
of a hundred million.
12 hundred million
Worksheet by Kuta Software LLC
-4-
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This can be modeled by the equation
y = 571x - 11100 where x is the corruption
score and y is GDP per capita in dollars.
GDP Per Capita (\$)
8) Economists have found that the amount of
corruption in a country is correlated to the
productivity of that country. Productivity
is measured by gross domestic product
(GDP) per capita. Corruption is measured
on a scale from 0 to 100 with 0 being
highly corrupt and 100 being least corrupt:
Corruption Score GDP Per Capita (\$)
17
3,790
33
7,010
39
6,450
43
10,300
60
19,900
67
34,000
30000
25000
20000
15000
10000
5000
10 20
30 40 50 60
Corruption Score
a) What does the y-intercept of this function represent?
the GDP of a country with a corruption score of 0
b) According to the model, what would be the GDP per capita of a country with a corruption
c) Using this model, a country with a corruption score of 76 would have what GDP per capita?
d) A GDP per capita of \$19,000 corresponds to what corruption score, according to the model?
Worksheet by Kuta Software LLC
-5-
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Height (ft) Weight (lbs)
4.7
96.8
4.8
102
5.05
111
5.55
138
6.1
169
6.35
184
It was discovered that this can be modeled
by the equation y = 52.8x - 153 where x is
height in feet and y is weight in pounds.
200
Weight (pounds)
9) The height and weight of several adults
were recorded:
180
160
140
120
100
4.5
5
5.5
6
6.5
7
Height (feet)
a) What does the y-intercept of this function represent?
the weight of an adult zero feet tall
b) Using this model, what would be the weight of someone who is 5.45 ft tall? Round your
answer to the nearest tenth. 123
c) According to the model, what would be the weight of someone who is 6 ft tall? Round your
165
d) What height corresponds to a weight of 160 pounds? Round your answer to the nearest
hundredth. 5.7
Worksheet by Kuta Software LLC
-6-
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Kilometers Cost (\$)
350
86.7
1,300
246
1,750
308
2,650
461
3,150
441
3,600
509
This can be modeled by the equation
y = 0.128x + 69.2 where x is distance in
kilometers and y is cost in dollars.
500
400
Cost (\$)
10) The cost of a flight is related to the distance
traveled:
300
200
100
1000
2000
3000
Distance (km)
a) What does the y-intercept of this function represent?
cost of flight that has 0 miles flown
b) Using this model, what would be the cost of a flight that travels 2200 kilometers? Round your
answer to the nearest dollar. 355\$
c) According to the model, how much would a 4800-km flight cost? Round your answer to the
nearest dollar.
621
d) What distance corresponds to a cost of \$180? Round your answer to the nearest kilometer.
550 kilometers
Worksheet by Kuta Software LLC
-7-
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```
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