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Mathematics
7th -
12thgrade
Correlation, Lines of Best Fit, Causation, Interpolation & Extrapolation
38 questions
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- 1. Multiple ChoiceThe scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.12 chapters15 chapters18 chapters21 chapters
- 2. Multiple ChoiceAbout how many male math teachers were there in 2006?15303545
- 3. Multiple ChoiceWhat type of correlation does this scatter plot show?positivenegativeno correlationnonlinear association
- 4. Multiple ChoiceWhat is the type of correlation?Negativeno correlationpositive
- 5. Multiple Choice
The equation of the trend line is , where x represents number of laps and y represents minutes.
How many laps can a bicycle make around the park in 10 minutes?18 laps
6 laps
22 laps
4 laps
- 6. Multiple Choice
Use the line of best fit to approximate rate of change relative to the scatter plot above.
7/5
5/7
-7/5
-5/7
- 7. Multiple ChoiceWhich sentence describes the relationship shown on this scatter plot?As the temperature decreases, the visitors increase.As the temperature increases, the number of visitors increases.As the visitors increase, the temperature decreases.No correlation
- 8. Multiple Choice
Which scatterplot below has a correlation coefficient close to r= -0.89?
- 9. Multiple Choice
Is this line an accurate line estimate of best fit for the data?
Yes
No
- 10. Multiple Choice
Scatterplot A is the graph on the left. Scatterplot B is the graph on the right. Select all the TRUE statements about the Scatterplots.
Both scatterplots have a positive correlation.
Scatterplot A (left), has a greater correlation coefficient than Scatterplot B (right).
Scatterplot B has a stronger correlation than Scatterplot A.
If Scatterplot B has r = 0.352, then Scatterplot A has to have a correlation coefficient less than 0.352.
- 11. Multiple ChoiceAs the age of the car increases, its value decreases. Which scatterplot represents this relationship?ABCD
- 12. Multiple Choice
Which of the following correlation coefficients would best fit the data?
r = -0.624
r = -0.128
r = +0.006
r = +0.513
r = +1.00
- 13. Multiple Choice
Which of the following could be the correlation coefficient for this data?
r = -0.941
r = -0.598
r = +0.001
r = +0.427
r = +0.998
- 14. Multiple Choice
What is the correlation coefficient best fits the data?
r = -1.00
r = -0.511
r = 0
r = +0.598
r = +0.817
- 15. Multiple Choice
Which line would be the best line of best fit?
Green line
Orange line
Purple line
None of the above
- 16. Multiple Choice
What would be the equation for the line of best fit?
- 17. Multiple Choice
If a set of data had a correlation coefficient of r = +0.173, the data has a ________ ________________ correlation.
Strong, positive
Weak, positive
Strong, negative
Weak, negative
- 18. Multiple ChoiceEstimate the correlation coefficient for this scatterplot.r = 1.2r = 0.89r = 0r = -0.89
- 19. Multiple Choice
The number of chapters, x, and the number of pages, y, form this scatterplot.
Extrapolate to find how many pages a book with 32 chapters would have.
(**Hint: find the equation of the trend line first!**)about 150 pages
about 300 pages
about 320 pages
about 210 pages
- 20. Multiple Choice
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 13 chapters.
140 pages
116 pages
132 pages
cannot be determined
- 21. Multiple ChoiceIf a scatterplot has no association then......it has no ordered pairs...it has ordered pairs that have a negative pattern...its ordered pairs have no predictable pattern...if it makes a lion on a graph (roar!)
- 22. Multiple ChoiceYou are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values?As x increases, y decreasesAs x increases, y increasesAs x decreases, y decreases
- 23. Multiple Choice
Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?
65
92
70
76
- 24. Multiple ChoiceWhich of the following lines represents the line of best fit for the scatter plot?ABCD
- 25. Multiple ChoiceBased on the graph, if Joe earned $400, how many hours did he work?25 hours35 hours45 hours15 hours
- 26. Multiple Choice
The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?
As the number of coffee shops increase, violent crimes appear to increase.
The line of best fit shows a positive correlation.
The data could have a correlation coefficient of r = +0.472 .
An increase in coffee shops causes an increase in violent crimes
- 27. Multiple Choice
Which example shows CORRELATION, not causation?
(The events show correlation, but one thing does NOT cause the other thing to happen.)
Negative Correlation: minutes water spent over heat source, x, and temperature, y.
Positive Correlation: Outside temperature, x, and the amount of people at the beach, y.
- 28. Multiple Choice
Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?
There is a strong positive correlation between studying and grades.
There is a strong negative correlation between studying and grades.
There is a weak positive correlation between studying and grades.
There is a weak negative correlation between studying and grades.
- 29. Multiple Choice
Data is collected comparing sales of cars and the age of the salesperson. After analyzing the data, it is determined that the correlation coefficient is 0.19. What does this mean?
There is weak positive correlation between sales and age.
There is a strong positive correlation between sales and age.
There is a strong negative correlation between sales and age.
There is a weak negative correlation between sales and age.
- 30. Multiple Choice
Data is collected comparing minutes of exercise each day and blood pressure. It is determined that the correlation coefficient is -0.87. What does this mean?
There is a strong negative correlation between exercise and blood pressure.
There is a weak negative correlation between exercise and blood pressure.
There is a strong positive correlation between exercise and blood pressure.
There is no correlation between exercise and blood pressure.
- 31. Multiple ChoiceWhat does the correlation coefficient (R-Value) tell us?Style + TypePercentage + DirectionStrength + DirectionStrength + Style
- 32. Multiple ChoiceA perfect positive correlation has a correlation coefficient of ____.1-10
- 33. Multiple ChoiceA perfect negative correlation has a correlation coefficient of ____.1-10
- 34. Multiple ChoiceIf there is NO correlation, the correlation coefficient is ____.1-10
- 35. Multiple Choice
Which of the following is the WEAKEST correlation?
0
- 0.34
- 0.92
- 0.57
- 36. Multiple Choice
Which of the following represents the STRONGEST correlation?
- 0.03
+ 0.75
+ 0.03
- 0.89
- 37. Multiple Choice
In Scatterplot A, r = -0.32
In Scatterplot B, r = 0.32
Which Scatterplot has a stronger correlation?
Scatterplot A
Scatterplot B
The correlations are equally strong.
Cannot be determined from the information given
- 38. Multiple Choice
Situation A: There is a positive correlation between study time in hours, x, and percent earned on tests, y.
Situation B: There is a positive correlation between number of correct answers on a test, x, and percent earned on test, y.
Which situation implies causation?
Situation A
Situation B
Although both situations show a positive correlation, causation can not be implied from either situation.
Since both situations show a positive correlation, causation can be implied from both situations.
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