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Mathematics
8th -
9thgrade
Correlation, Linear Regression, Residuals Review
28 questions
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- 1. Multiple Choice
What is another name for the line of best fit?
Hint: There may be more than one answer.
Linear regression
Trend line
Prediction line
Fun line
- 2. Multiple ChoiceOn a scatter plot, where can you find PREDICTED y-values?The data pointsOn the regression line
- 3. Multiple ChoiceOn a scatter plot, where can you find ACTUAL y-values?The data pointsOn the regression line
- 4. Multiple ChoiceEstimate the correlation coefficient.r = -0.8r = -0.5r = 0.5r = 0.8
- 5. Multiple ChoiceShown is a residual plot. Would a linear regression model of the data be most appropriate?YESNO
- 6. Multiple ChoiceAs study time _______________, errors _______________.increases ; decreaseincreases ; increasedecreases; decreaseincreases ; stays the same
- 7. Multiple ChoiceShown is a residual plot.
Would a linear regression model be a good fit?YESNO - 8. Multiple ChoiceA correlation shows that two things arerelatedcausing each otherunrelated
- 9. Multiple ChoiceWhat is a line of best fit used for?To make predictionsTo make the graph look prettyTo connect the points
- 10. Multiple ChoiceWhich sentence describes the relationship shown on this scatterplot?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
- 11. Multiple Choice
Estimate the correlation coefficient for this scatterplot.
r = -0.9
r = 0.4
r = 0.9
r = -0.4
- 12. Multiple ChoiceEstimate the correlation coefficient for this scatterplot.r = 1.2r = 0.89r = 0r = -0.89
- 13. Multiple ChoiceThe correlation coefficient is a number "r" such that:-1<r<1-1>r>1-1≤r≤1-1≥r≤1
- 14. Multiple Choicer=0.3Strong positiveWeak positiveStrong negativeWeak negative
- 15. Multiple Choicer=-0.89Strong positiveWeak positiveStrong negativeWeak negative
- 16. Multiple ChoiceWhich scatter plot shows a linear relationship between x and y?Graph AGraph BGraph CGraph D
- 17. 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 pages would be in a book with 6 chapters.100 pages170 pages60 pages20 pages
- 18. Multiple ChoiceWhat is the type of correlation?Negativeno associationpositive
- 19. Multiple ChoiceWhat type of correlation describes the following sentence:
The temperature outside and the number of hot chocolate sold at a football game.postivenegativeno - 20. Multiple ChoiceA correlation shows that two things arerelatedcausing each otherunrelatedcausation
- 21. Multiple Choice
How do you calculate a residual?
Actual value - Predicted value
Predicted value - Actual value
Actual value + Predicted value
Predicted value + Actual value
- 22. Multiple Choice
Residuals are . . .
possible models not explored by the researcher
variation in the response variable that is explained by the model
the difference between the actual or observed response and the values predicted by the model
data collected from individuals that is not consistent with the rest of the group
- 23. Multiple ChoiceAfter performing analyses on a set of data, Mrs. Schoeneck examined the scatter plot of the residual values for each analysis. Which scatter plot indicated the best linear fit for the data?ABC
- 24. Multiple Choice
Analysis of data from a statistical study shows a linear relationship in the data with a correlation coefficient of -0.524. Which statement best summarizes this result?
There is a strong positive correlation between the variables.
There is a strong negative correlation between the variables.
There is a moderate positive correlation between the variables.
There is a moderate negative correlation between the variables.
- 25. Multiple Choice
The results of a linear regression are shown.
Which phrase best describes the relationship between x and y?
strong negative correlation
strong positive correlation
weak negative correlation
weak positive correlation
- 26. Multiple Choice
Which statistic would indicate that a linear function would not be a good fit to model a data set?
r = −0.93
r = 1
- 27. Multiple Choice
After performing analyses on a set of data, Jackie examined the scatter plot of the residual values for each analysis. Which scatter plot indicates the best linear fit for the data?
- 28. Multiple ChoiceWhich residual plot shows that a linear regression model would be most appropriate?abc
- Answer choicesTagsAnswer choicesTags