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What is the equation of the regression line used to predict a student's new score on a retake based on their original score?
What is the equation of the regression line used to predict a student's new score on a retake based on their original score?
y = 0.8x + 4.3
How many students decided to retake their first quiz?
How many students decided to retake their first quiz?
Five
What is the predicted new score for a student who got a 2 on the original score?
What is the predicted new score for a student who got a 2 on the original score?
6
What is the residual for the student who got a 2 on the original score?
What is the residual for the student who got a 2 on the original score?
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Study Notes
Regression Line for Quiz Retakes
- A regression line predicts a student's new quiz score based on their original score.
- The equation is: y = 0.8x + 4.3
- Where 'y' represents the predicted new score.
- And 'x' represents the original score.
Student Quiz Retake Results
- Five students took a retake quiz.
- Original scores and corresponding new scores are listed (see table below).
| Original Score | New Score |
|---|---|
| 2 | 6 |
| 4 | 7 |
| 4 | 8 |
| 5 | 8 |
| 7 | 10 |
Residual Calculation Required
- The instruction is to calculate and plot residuals based on the provided data and calculated regression line.
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Description
This quiz focuses on calculating and plotting residuals based on a regression line used in student quiz retakes. Students will use the provided scores to analyze how well the regression line predicts new quiz scores, enhancing their understanding of regression analysis concepts.
