Organizing Data Answers

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1
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Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Determine whether a scatter plot of the data for the following situation might show a positive, negative, or no relationship. Explain your answer.

Question illustration
A
positive relationship; as the age of a car increases, the value of the car increases.
B
positive relationship; as the age of a car increases, the value of the car decreases.
C
negative relationship; as the age of a car increases, the value of the car increases.
D
negative relationship; as the age of a car increases, the value of the car decreases.
2
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Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Determine whether a scatter plot of the data for the following situation might show a positive, negative, or no relationship. Explain your answer.

Question illustration
A
positive relationship; as the age of a car increases, the value of the car increases.
B
positive relationship; as the age of a car increases, the value of the car decreases.
C
negative relationship; as the age of a car increases, the value of the car increases.
D
negative relationship; as the age of a car increases, the value of the car decreases.
3

The following scatter plot depicts the number of chicken pox cases after 1988. The variable x represents the number of years after 1988. The variable y represents the number of cases in thousands. Does there appear to be a linear relationship? Explain your answer.

Question illustration
A
Yes, there is a linear relationship. The data appears to have a negative correlation.
B
Yes, there is a linear relationship. The data appears to have a positive correlation.
C
No, there is not a linear relationship. The data seems random.
D
No, there is not a linear relationship. There is no line which goes through all the points.
4

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Strawberries Picked Time (hours)

Question illustration
A
positive; as time passes, the number of quarts picked decreases.
B
negative; as time passes, the number of quarts picked decreases.
C
no correlation
D
positive; as time passes, the number of quarts picked increases.
8

Use the scatter plot of car resale values to answer the following question. What can you say about the correlation between the age of a car and its resale value?

Question illustration
A
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
B
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
C
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
D
There is no correlation between a car’s age and its resale value.

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