Analyzing Residuals Answers

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strong negative correlationmoderate negative correlation✔ strong positive correlationmoderate positive correlation

A
strong negative correlation
B
moderate negative correlation
C
strong positive correlation
D
moderate positive correlation
3

Which describes the correlation shown?

A
weak positive
B
moderate positive
C
strong positive
D
perfect positive
4

Whose data had the strongest correlation?

A
Student A
B
Student B
C
Student C
D
Student D
6

–0.85–0.840.84✔ 0.85

A
–0.85
B
–0.84
C
0.84
D
0.85
7

✔ weakmoderatestrongperfect

A
weak
B
moderate
C
strong
D
perfect
8

What type of relationship has his teacher discovered?

A
positive correlation, likely causal
B
positive correlation, not likely causal
C
negative correlation, likely causal
D
negative correlation, not likely causal
9

Which relationships would most likely be causal? Check all that apply.a positive correlation between time spent exercising and the number of calories burneda negative correlation between temperature and coat salesa positive correlation between time spent practicing free throws and free throw percentagea positive correlation between time spent on the phone with friends and the number of friendsa negative correlation between temperature and the number of speeding tickets

A
a positive correlation between time spent exercising and the number of calories burned
B
a negative correlation between temperature and coat sales
C
a positive correlation between time spent practicing free throws and free throw percentage
D
a positive correlation between time spent on the phone with friends and the number of friends
E
a negative correlation between temperature and the number of speeding tickets
10

Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shape that is similar to an arch. What conclusion can Hope draw from her graph?

Answer:

Hope can conclude that there is an association between the variables because the graph shows a clear pattern. However, because the pattern is a non-linear arch, she can conclude there is no correlation. Finally, she cannot conclude that there is a causal relationship, as association does not imply causation.

11

an association between variables✔ a causation between variablesthe strength of the relationship

A
an association between variables
B
a causation between variables
C
the strength of the relationship
12

Sample Response: Because the graph shows a pattern that is an arch shape, Hope can conclude that there is an association between the variables. However, because the relationship is not linear, there is no correlation. The pattern shows that as one variable changes, the other variable changes in the same way. This does not imply that a change in one variable causes the change in the other variable to happen. Hope cannot conclude that there is a causal relationship. What did you include in your re

A
There is an association between the variables.
B
There is no correlation because the relationship is not linear.
C
It cannot be determined if a change in one variable causes the other.

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