Linear Correlation & Regression

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
Learn about Our Editorial Process
| By Dana Deuitch
D
Dana Deuitch
Community Contributor
Quizzes Created: 3 | Total Attempts: 2,052
Questions: 14 | Attempts: 221
SettingsSettingsSettings
Please wait...
Create your own Quiz
Linear Correlation & Regression - Quiz

Calculate a correlation coefficient, use it to classify the correlation, then calculate the equation of the line of best fit and use that equation to make predictions.

Questions and Answers
  • 1. 
    Find  - ProProfs

    Find 

    Explanation
    Add up the values in the x-column (number of siblings)

    Rate this question:

  • 2. 
    Find  - ProProfs

    Find 

    Explanation
    Add up the y-values (overall mark)

    Rate this question:

  • 3. 
    Find  - ProProfs

    Find 

    Explanation
    Square each of the x-values first (number of siblings) then add them up

    Rate this question:

  • 4. 
    Find  - ProProfs

    Find 

    Explanation
    Square each of the y-values first (overall mark) then add them up

    Rate this question:

  • 5. 
    Find  - ProProfs

    Find 

    Explanation
    Multiply x by y (siblings times mark) then add up the results

    Rate this question:

  • 6. 
    Calculate the correlation coefficient. Round your answer to 2 decimal places. - ProProfs

    Calculate the correlation coefficient. Round your answer to 2 decimal places.

    Explanation
    The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient is -0.95, which indicates a strong negative linear relationship between the variables. This means that as one variable increases, the other variable tends to decrease. The negative sign indicates the direction of the relationship, and the absolute value of 0.95 indicates the strength, with values closer to 1 indicating a stronger relationship.

    Rate this question:

  • 7. 
    Calculate the slope of the line of best fit. Round your answer to 2 decimal places. - ProProfs

    Calculate the slope of the line of best fit. Round your answer to 2 decimal places.

    Explanation
    The slope of the line of best fit is equal to the given value of -8.13.

    Rate this question:

  • 8. 

    Classify the relationship between number of siblings and overall mark.

    Explanation
    What does the correlation coefficient tell you about the relationship?
    Hint: You should have 4 terms in your classification!!

    Rate this question:

  • 9. 
    Calculate the y-intercept of the line of best fit. Round to 2 decimal places. - ProProfs

    Calculate the y-intercept of the line of best fit. Round to 2 decimal places.

    Explanation
    Remember y-bar is the mean of y, and x-bar is the mean of x.

    Rate this question:

  • 10. 

    Write the equation of the line of best fit. Leave all values at 2 decimal places, do not use capitals and do not use spaces.

    Explanation
    y=ax+b

    Rate this question:

  • 11. 

    What mark would you expect from a person with 6 siblings? Round to the nearest whole mark.

    Explanation
    Substitute into your equation for x=6.

    Rate this question:

  • 12. 

    Is estimating the mark of a person with 6 siblings interpolation or extrapolation?

    • A.

      Interpolation

    • B.

      Extrapolation

    • C.

      Neither

    • D.

      Both

    Correct Answer
    B. Extrapolation
    Explanation
    Is 6 siblings between your min & max number of siblings given, or outside of this range?

    Rate this question:

  • 13. 

    If a person who has a mark of 78, how many siblings would you expect them to have? Remember to round! A person can't have part of a sibling!

    Correct Answer
    2
    Explanation
    Based on the information given, there is no direct correlation between a person's mark of 78 and the number of siblings they would have. The answer of 2 is likely a random guess or unrelated to the question. Without further context or information, it is not possible to determine the number of siblings a person would have based solely on their mark.

    Rate this question:

  • 14. 

    Is determining the number of siblings for a person with a mark of 78, interpolation or extrapolation?

    • A.

      Interpolation

    • B.

      Extrapolation

    • C.

      Neither

    • D.

      Both

    Correct Answer
    A. Interpolation
    Explanation
    Interpolation is the process of estimating values within a set of known data points. In this case, determining the number of siblings for a person with a mark of 78 falls within the range of known data points, so it is considered interpolation. Extrapolation, on the other hand, involves estimating values outside the range of known data points, which is not applicable in this scenario. Therefore, the correct answer is interpolation.

    Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 16, 2015
    Quiz Created by
    Dana Deuitch

Featured Quizzes

7th Grade Science Quiz Questions and Answers 7th Grade Science Quiz Questions and Answers
Are You Smarter Than A 5th Grader? MCQ Quiz Questions Are You Smarter Than A 5th Grader? MCQ Quiz Questions
Am I Pretty, Cute Or Beautiful? Am I Pretty, Cute Or Beautiful?
Take the Does He Like Me Quiz to Decode His True Feelings Take the Does He Like Me Quiz to Decode His True Feelings
Uncover Your True Personality: Take the 'What Am I?' Quiz Uncover Your True Personality: Take the 'What Am I?' Quiz
Which FNAF Character Are You? Which FNAF Character Are You?
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.