Scatter Plot And Correlation Exam! Quiz
(178).jpg "Scatter Plot And Correlation Exam! Quiz - Quiz")
There are different ways in which people use to display data for presentation purposes. Using a scatter plot is the best method when it comes to showing the correlation between different subjects. This quiz is for students in my Intermediate Algebra class to take after they've read the website. Give it a try and get to see just how much you know.
Questions and Answers
- 1.
Correlation is a relationship between two sets of data.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
Correlation refers to a statistical measure that quantifies the relationship between two variables or sets of data. It indicates the extent to which changes in one variable are associated with changes in the other variable. A positive correlation means that as one variable increases, the other variable also tends to increase, while a negative correlation means that as one variable increases, the other variable tends to decrease. Therefore, the statement "Correlation is a relationship between two sets of data" is true as it accurately describes the nature of correlation.Rate this question:
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- 2.
When making a scatterplot you want to always connect the dots (points)
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
Instead of connecting all the points, you will draw a line between the points that is the best approximation of the average of the values. This line is called the Line of Best Fit or the Trend Line.Rate this question:
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- 3.
When you have collected your data you may find that certain x values may have more than one y-value, such as (7,90) and (7,85) and (7,100). This is not okay. You should get rid of (or ignore) all but one of these points.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
It's okay to have multiple points with the same x-value.Rate this question:
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- 4.
If the slope of a line drawn through the scatterplot is positive (rising from left to right), that means there is a positive correlation between the data.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
If the slope of a line drawn through the scatterplot is positive (rising from left to right), it indicates that as one variable increases, the other variable also tends to increase. This suggests a positive correlation between the data, meaning that there is a systematic relationship between the two variables where they both increase or decrease together. Therefore, the statement is true.Rate this question:
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- 5.
Not all data sets will have a positive correlation. It all depends on the data being examined.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
The statement is true because the presence of a positive correlation in a data set depends on the relationship between the variables being examined. A positive correlation means that as one variable increases, the other variable also tends to increase. However, this relationship may not be present in all data sets, as some variables may not have any clear relationship or may even have a negative correlation where one variable increases while the other decreases. Therefore, it is possible for data sets to not have a positive correlation, making the statement true.Rate this question:
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- 6.
If the slope of a line drawn through the scatterplot is negative (falling from left to right), that means there is no correlation between the data.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
It means there is a negative correlation.Rate this question:
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- 7.
If the plot on the graph is scattered in such a way that it does not approximate a line (it does not appear to rise or fall), there is no correlation between the sets of data.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
If the plot on the graph is scattered in such a way that it does not approximate a line, it suggests that there is no relationship or correlation between the sets of data. In other words, there is no consistent pattern or trend between the variables being plotted. Therefore, the statement "there is no correlation between the sets of data" is true.Rate this question:
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- 8.
What kind of correlation is shown in the following graph?
- A.
High Positive Correlation
- B.
Low Positive Correlation
- C.
High Negative Correlation
- D.
Low Negative Correlation
- E.
No Correlation
Correct Answer
B. Low Positive CorrelationExplanation
The graph shows a pattern where as one variable increases, the other variable also tends to increase, but the relationship is not very strong. This indicates a low positive correlation between the two variables.Rate this question:
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- 9.
What kind of correlation is shown in the following graph?
- A.
High Positive Correlation
- B.
Low Positive Correlation
- C.
High Negative Correlation
- D.
Low Negative Correlation
- E.
No Correlation
Correct Answer
E. No CorrelationExplanation
The graph does not show any clear pattern or trend between the variables. The points on the graph are scattered randomly, indicating that there is no relationship or correlation between the variables.Rate this question:
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- 10.
Just because there is a strong correlation between data, does not necessarily mean that one set of data is causing the effect that is occurring in the other set of data.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
This statement is true because correlation does not imply causation. Just because two sets of data are strongly correlated, it does not mean that one set of data is causing the effect observed in the other set of data. Correlation only indicates a relationship between variables, but it does not provide evidence of a cause-and-effect relationship. Other factors or variables may be influencing both sets of data, leading to the observed correlation. Therefore, it is important to consider other evidence and factors before concluding that one set of data is causing the effect in the other set.Rate this question:
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- 11.
In the last example on the page, the scatterplot shows that the number of jars of strawberry jam sold in New York was causing an increase in the number of classical music CDs sold in Florida.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
There is definitely a correlation between the data, but that does not mean there was causation.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
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Feb 05, 2012Quiz Created by
Chiarashah
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