CorrelationDoesntMeanCause_worksheet
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School
Cameron County Jshs *
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Course
147
Subject
Mathematics
Date
May 20, 2024
Type
Pages
8
Uploaded by MateTapirMaster1042
Name: ___________________________
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Directions:
Graph the following linear inequalities. 1.
Identify the following scatter plots as having a positive correlation,
negative correlation, or no correlation. Explain your reasoning. 1 2 3 4 5 6 7 8
7
6
5
4
3
2
1
a. Scatter Plot 1
Correlation Doesn’t Mean Cause
7
6
5
4
3
2
1
b. Scatter Plot 2
1 2 3 4 5 6 7 8
c. Scatter Plot 3
10 20 30 40 50 60
age
percent
80
60
40
20
0
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d. Scatter Plot 4
30 25 20
15
10
5
0
0 5 10 15 20 25
2.
The following are correlation coefficients for independent and dependent variables. Based on the coefficients, analyze the data and describe the
correlation between the independent and dependent variables. a. 0.95
b. -
0.45
c. 0.80
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d. -
0.99
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a. Graph the points above as a scatter plot. 3.
Use the following table to answer questions (
a
– c
). x
1 2 3 4 7 8 10
y
1 3 6 2 9 6 7
b. Calculate the correlation coefficient. c. Based on your calculation in part (
b
) describe the correlation between the x
and y
. Explain your reasoning.
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4.
Use the following table to answer questions (
a
– c
). x
1 2 3 4 7 8 10
y
9 7 6 1 -2 -5 -8
a. Graph the points above as a scatter plot. b. Calculate the correlation coefficient. c. Based on your calculation in part (
b
) describe the correlation between the x
and y
. Explain your reasoning.
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5.
The data below are the heights of mothers (
x
values) and their corresponding daughters (
y
values).
x
63
67
64
60
65
67
59
60
58
72
63
y
59
65
65
61
65
67
61
63
60
71
62
a. Calculate the correlation coefficient of the data. b. Based on the correlation coefficient, is there a correlation between the heights of daughters and mothers? Explain your answer.
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6
. A person’s lean body mass measures how much non-fat mass a person has. This includes bones, muscles and organs. A person’s metabolic rate is how
much energy a body burns while at rest. Below are the body mass and
metabolic rates for 12 people. 36.1
54.6
48.5
42.0
50.6
42.0
40.3
33.1
42.4
34.5
51.1
41.2
a. Create a scatter plot for the body masses and metabolic rates. body mass
(in kg)
metabolic rate (cal/day)
0995
1425
1396
1418
1502
1256
1189
0913
1124
1052
1347
1204
c. Use the scatter plot and the correlation coefficient to explain if there is a correlation between body mass and metabolic rate. d. Will a person’s body mass go up if their metabolic rate goes up? Explain your answer. b. Calculate the correlation coefficient.