Linear Correlation & Regression
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Find
About This 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.
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- 2.
Find
Explanation
Add up the y-values (overall mark)Rate this question:
- 3.
Find
Explanation
Square each of the x-values first (number of siblings) then add them upRate this question:
- 4.
Find
Explanation
Square each of the y-values first (overall mark) then add them upRate this question:
- 5.
Find
Explanation
Multiply x by y (siblings times mark) then add up the resultsRate this question:
- 6.
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.
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.
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+bRate 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?
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Interpolation
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Extrapolation
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Neither
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Both
Correct Answer
A. ExtrapolationExplanation
Is 6 siblings between your min & max number of siblings given, or outside of this range?Rate this question:
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- 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
2Explanation
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?
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Interpolation
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Extrapolation
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Neither
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Both
Correct Answer
A. InterpolationExplanation
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:
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Quiz Review Timeline (Updated): Mar 19, 2023 +
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Current Version
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Mar 19, 2023Quiz Edited by
ProProfs Editorial Team -
Nov 16, 2015Quiz Created by
Dana Deuitch
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